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Kevrekidis, Panayotis G.

Author ID: kevrekidis.panayotis-g Recent zbMATH articles by "Kevrekidis, Panayotis G."
Published as: Kevrekidis, P. G.; Kevrekidis, Panayotis G.; Kevrekidis, Panayotis; Kevrekidis, Panagiotis G.; Kevrekidis, P.
Further Spellings: Кеврекидис П Г
Homepage: https://people.math.umass.edu/~kevrekid/
External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
Awards: J.D. Crawford Prize (2013)
all top 5

Co-Authors

15 single-authored
76 Frantzeskakis, Dimitri J.
43 Malomed, Boris A.
42 Cuevas Maraver, Jesús
29 Carretero-González, Ricardo
22 Pelinovsky, Dmitry Efimovich
18 Kevrekidis, Ioannis George
17 Bishop, Alan Reginald
16 Whitaker, Nathaniel
15 Kapitula, Todd M.
15 Porter, Mason Alexander
14 Saxena, Avadh Behari
13 Stefanov, Atanas G.
12 Charalampidis, Efstathios G.
12 Karachalios, Nikos I.
11 Nistazakis, Hector E.
10 Xu, Haitao
9 Demirkaya, Aslihan
9 Dmitriev, Sergey V.
9 Koukouloyannis, Vassilis
8 Chong, Christopher
8 Horikis, Theodoros P.
8 Rapti, Zoi
8 Vainchtein, Anna
7 Achilleos, V. A.
7 Decker, Robert J.
7 Konotop, Vladimir V.
7 Law, Kody J. H.
7 Parker, Ross
7 Schmelcher, Peter
6 Aceves, Alejandro B.
6 Shen, Yannan
6 Susanto, Hadi
6 Theocharis, G.
6 Yang, Jinkyu
5 Drossinos, Yannis
5 James, Guillaume
5 Kolokolnikov, Theodore
5 Li, Kai
5 Martínez, Alejandro J.
5 Wang, Chenyu
5 Weinstein, Michael I.
5 Williams, Floyd L.
4 Chen, Qianyong
4 D’Ambroise, Jennie
4 Farrell, Patrick Emmet
4 Herring, G. J.
4 Horne, Rudy Lee
4 Khare, Avinash
4 Ross, Ryan M.
4 Takeno, Shozo
4 Ward, Charles B.
4 Yoshikawa, Nobuhiro
3 Abdullaev, Fatkhulla Kh.
3 Alexander, Tristram J.
3 Boullé, Nicolas
3 Chen, Zhigang
3 Christodoulakis, Theodosios
3 Daraio, Chiara
3 Gear, Charles William
3 Hoq, Q. Enam
3 Kevrekidis, G. A.
3 Lepri, Stefano
3 Middelkamp, S.
3 Mylonas, I. K.
3 Rasmussen, Kim Ø.
3 Saadatmand, Danial
3 Sánchez-Rey, Bernardo
3 Sandstede, Björn
3 Tsolias, Georgios A.
2 Agrotis, Maria A.
2 Álvarez, Azucena
2 Barry, Anna M.
2 Borisov, Denis Ivanovich
2 Byrne, Helen Mary
2 Celora, Giulia L.
2 Centurion, Martin
2 Christov, Ivan C.
2 Diamantidis, Sevastos
2 Duran, Henry
2 Espínola-Rocha, J. Adrián
2 Fotopoulos, Georgios
2 Gani, Vakhid A.
2 Good, D. J.
2 Goodman, Roy H.
2 Guo, Lijuan
2 He, Jingsong
2 Helias, Ch.
2 Jones, Christopher K. R. T.
2 Karali, Georgia D.
2 Kim, Eunho
2 Kip, D.
2 Kirr, E. W.
2 Lafortune, Stéphane
2 Li, Ju
2 Liu, Lifeng
2 Molina, Mario I.
2 Paleari, Simone
2 Palmero Acebedo, Faustino
2 Papacharalampous, I. E.
2 Penati, Tiziano
...and 149 more Co-Authors
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Serials

44 Physica D
40 Journal of Physics A: Mathematical and Theoretical
34 Physics Letters. A
21 Mathematics and Computers in Simulation
16 Nonlinearity
16 Communications in Nonlinear Science and Numerical Simulation
9 Journal of Physics A: Mathematical and General
7 Chaos
7 SIAM Journal on Applied Dynamical Systems
5 Journal of Mathematical Physics
4 Studies in Applied Mathematics
4 Journal of Nonlinear Science
4 Discrete and Continuous Dynamical Systems
4 Physica Scripta
3 Chaos, Solitons and Fractals
3 Physical Review E. Third Series
3 Nonlinear Systems and Complexity
2 Mathematical Biosciences
2 Quarterly of Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Theoretical Biology
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Mathematics in Engineering
1 Modern Physics Letters B
1 Classical and Quantum Gravity
1 Communications in Mathematical Physics
1 IMA Journal of Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Theoretical and Mathematical Physics
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Advances in Applied Mathematics
1 Mathematical and Computer Modelling
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Mathematical Problems in Engineering
1 New Journal of Physics
1 Journal of High Energy Physics
1 Communications on Pure and Applied Analysis
1 AMRX. Applied Mathematics Research eXpress
1 Multiscale Modeling & Simulation
1 Communications in Mathematical Sciences
1 Springer Tracts in Modern Physics
1 Advances in Mathematical Physics
1 Symmetry
1 Springer Series on Atomic, Optical, and Plasma Physics
1 Other Titles in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

239 Publications have been cited 2,073 times in 1,272 Documents Cited by Year
Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis. Zbl 1086.65066
Kevrekidis, Ioannis G.; Gear, C. William; Hyman, James M.; Kevrekidis, Panagiotis G.; Runborg, Olof; Theodoropoulos, Constantinos
194
2003
Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment. Zbl 1137.82003
99
2008
Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Zbl 1056.37080
Kapitula, Todd; Kevrekidis, Panayotis G.; Sandstede, Björn
80
2004
The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives. Zbl 1169.35004
Kevrekidis, Panayotis G.
79
2009
Nonlinear waves in Bose-Einstein condensates: physical relevance and mathematical techniques. Zbl 1216.82023
Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, P. G.
72
2008
The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics. Zbl 1341.37046
56
2014
Stability of discrete solitons in nonlinear Schrödinger lattices. Zbl 1088.39004
Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J.
47
2005
Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems. Zbl 1080.37070
Kapitula, Todd; Kevrekidis, Panayotis G.; Sandstede, Björn
43
2005
Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein-Gordon equations. Zbl 1181.35266
Stefanov, Atanas; Kevrekidis, Panayotis G.
40
2005
The defocusing nonlinear Schrödinger equation. From dark solitions to vortices and vortex rings. Zbl 1336.81004
Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Carretero-González, Ricardo
40
2015
Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1157.35479
Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I.
39
2008
Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials. Zbl 1235.34128
Kirr, E.; Kevrekidis, P. G.; Pelinovsky, D. E.
36
2011
Non-linear waves in lattices: past, present, future. Zbl 1230.37099
Kevrekidis, P. G.
33
2011
Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity. Zbl 1153.82321
Cuevas, J.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Malomed, B. A.
27
2009
Highly nonlinear solitary waves in heterogeneous periodic granular media. Zbl 1160.37410
Porter, Mason A.; Daraio, Chiara; Szelengowicz, Ivan; Herbold, Eric B.; Kevrekidis, P. G.
27
2009
Well-posedness and small data scattering for the generalized Ostrovsky equation. Zbl 1202.35259
Stefanov, Atanas; Shen, Yannan; Kevrekidis, P. G.
26
2010
Persistence and stability of discrete vortices in nonlinear Schrödinger lattices. Zbl 1088.39005
Pelinovsky, D. E.; Kevrekidis, P. G.; Frantzeskakis, D. J.
25
2005
Breathers in oscillator chains with Hertzian interactions. Zbl 1278.37053
James, Guillaume; Kevrekidis, Panayotis G.; Cuevas, Jesús
21
2013
Vortex interaction dynamics in trapped Bose-Einstein condensates. Zbl 1238.34098
Torres, Pedro J.; Carretero-González, R.; Middelkamp, S.; Schmelcher, P.; Frantzeskakis, Dimitri J.; Kevrekidis, P. G.
20
2011
On the stability of multibreathers in Klein-Gordon chains. Zbl 1179.37103
Koukouloyannis, Vassilis; Kevrekidis, Panayotis G.
20
2009
Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics. Zbl 1167.35448
Melvin, T. R. O.; Champneys, A. R.; Kevrekidis, P. G.; Cuevas, J.
19
2008
Stability of waves in discrete systems. Zbl 1001.37080
Kapitula, Todd; Kevrekidis, Panayotis
19
2001
Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates. Zbl 1331.81100
He, J. S.; Charalampidis, E. G.; Kevrekidis, P. G.; Frantzeskakis, D. J.
19
2014
Asymptotic stability of small bound states in the discrete nonlinear Schrödinger equation. Zbl 1197.35270
Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A.
19
2009
On the existence of solitary traveling waves for generalized Hertzian chains. Zbl 1266.37044
Stefanov, Atanas; Kevrekidis, Panayotis
19
2012
Continuum approach to discreteness. Zbl 1244.39005
Kevrekidis, P. G.; Kevrekidis, I. G.; Bishop, A. R.; Titi, E. S.
18
2002
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Zbl 1461.83073
Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Saxena, Avadh
18
2021
Modulated amplitude waves in collisionally inhomogeneous Bose-Einstein condensates. Zbl 1113.82040
Porter, Mason A.; Kevrekidis, P. G.; Malomed, Boris A.; Frantzeskakis, D. J.
17
2007
On a class of discretizations of Hamiltonian nonlinear partial differential equations. Zbl 1031.70001
Kevrekidis, P. G.
17
2003
Traveling waves and their tails in locally resonant granular systems. Zbl 1312.74007
Xu, H.; Kevrekidis, P. G.; Stefanov, A.
17
2015
Spontaneous symmetry breaking in photonic lattices: theory and experiment. Zbl 1145.78310
Kevrekidis, P. G.; Chen, Zhigang; Malomed, B. A.; Frantzeskakis, D. J.; Weinstein, M. I.
16
2005
Three is a crowd: solitary waves in photorefractive media with three potential wells. Zbl 1210.35171
Kapitula, Todd; Kevrekidis, P. G.; Chen, Zhigang
14
2006
Discrete Klein-Gordon models with static kinks free of the Peierls-Nabarro potential. Zbl 1083.82013
Dmitriev, S. V.; Kevrekidis, P. G.; Yoshikawa, N.
14
2005
Kink dynamics in a parametric \({\phi}^6\) system: a model with controllably many internal modes. Zbl 1383.81128
Demirkaya, A.; Decker, R.; Kevrekidis, P. G.; Christov, I. C.; Saxena, A.
14
2017
Multistable solitons in higher-dimensional cubic-quintic nonlinear Schrödinger lattices. Zbl 1155.37324
Chong, C.; Carretero-González, R.; Malomed, B. A.; Kevrekidis, P. G.
14
2009
On some classes of mKdV periodic solutions. Zbl 1084.35073
Kevrekidis, P. G.; Khare, Avinash; Saxena, A.; Herring, G.
14
2004
Dynamics of lattice kinks. Zbl 0954.35142
Kevrekidis, P. G.; Weinstein, M. I.
13
2000
Wave propagation in a strongly nonlinear locally resonant granular crystal. Zbl 1380.74024
Vorotnikov, K.; Starosvetsky, Y.; Theocharis, G.; Kevrekidis, P. G.
13
2018
Deciding the nature of the coarse equation through microscopic simulations: the baby-bathwater scheme. Zbl 1147.82347
Li, Ju; Kevrekidis, Panayotis G.; Gear, C. William; Kevrekidis, Ioannis G.
12
2007
Multibreather and vortex breather stability in Klein-Gordon lattices: equivalence between two different approaches. Zbl 1248.37071
Cuevas, Jesús; Koukouloyannis, Vassilis; Kevrekidis, Panayotis G.; Archilla, Juan F. R.
12
2011
Equation-free, effective computation for discrete systems: a time stepper based approach. Zbl 1140.93422
Möller, J.; Runborg, O.; Kevrekidis, P. G.; Lust, K.; Kevrekidis, I. G.
12
2005
Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials. Zbl 1248.82051
Tsitsas, N. L.; Horikis, T. P.; Shen, Y.; Kevrekidis, P. G.; Whitaker, N.; Frantzeskakis, D. J.
11
2010
Vortices in Bose-Einstein condensates: some recent developments. Zbl 1086.82014
Kevrekidis, P. G.; Carretero-González, R.; Frantzeskakis, D. J.; Kevrekidis, I. G.
11
2004
A tale of two distributions: from few to many vortices in quasi-two-dimensional Bose-Einstein condensates. Zbl 1371.82060
Kolokolnikov, T.; Kevrekidis, P. G.; Carretero-González, R.
11
2014
Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry
11
2013
Linear stability of perturbed Hamiltonian systems: theory and a case example. Zbl 1061.70012
Kapitula, T.; Kevrekidis, P. G.
10
2004
Bose-Einstein condensates in the presence of a magnetic trap and optical lattice. Zbl 1144.37362
Kapitula, Todd; Kevrekidis, P. G.
10
2005
Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y.
10
2013
Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors. Zbl 1321.37073
Koukouloyannis, V.; Kevrekidis, P. G.; Cuevas, J.; Rothos, V.
10
2013
Escape dynamics in the discrete repulsive \({\phi}^4\) model. Zbl 1308.35260
Achilleos, V.; Álvarez, A.; Cuevas, J.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Sánchez-Rey, B.
10
2013
Discrete nonlinear Schrödinger equations free of the Peierls-Nabarro potential. Zbl 1160.35535
Dmitriev, S. V.; Kevrekidis, P. G.; Sukhorukov, A. A.; Yoshikawa, N.; Takeno, S.
9
2006
Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation. Zbl 1510.35291
Charalampidis, Efstathios G.; Kevrekidis, P. G.; Farrell, Patrick Emmet
9
2018
Traveling waves for the mass in mass model of granular chains. Zbl 1345.37083
Kevrekidis, Panayotis G.; Stefanov, Atanas G.; Xu, Haitao
9
2016
Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014
Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.
9
2016
Traveling waves for monomer chains with precompression. Zbl 1323.37049
Stefanov, Atanas; Kevrekidis, Panayotis
9
2013
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice. Zbl 1390.37125
Penati, T.; Sansottera, M.; Paleari, S.; Koukouloyannis, V.; Kevrekidis, P. G.
9
2018
Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources. Zbl 1111.83011
Christodoulakis, T.; Grammenos, Th.; Helias, Ch.; Kevrekidis, P. G.; Spanou, A.
8
2006
Exact static solutions to a translationally invariant discrete \(\phi^{4}\) model. Zbl 1113.81094
Dmitriev, Sergey V.; Kevrekidis, Panayotis G.; Khare, Avinash; Saxena, Avadh
8
2007
Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings. Zbl 1218.35222
Chong, C.; Carretero-González, R.; Malomed, B. A.; Kevrekidis, P. G.
8
2011
Variational approximations of trapped vortices in the large-density limit. Zbl 1216.35145
Pelinovsky, D. E.; Kevrekidis, P. G.
8
2011
Integrability revisited: a necessary condition. Zbl 0969.37526
Kevrekidis, P. G.
8
2001
Breathers in a locally resonant granular chain with precompression. Zbl 1364.74028
Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna
8
2016
Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping. Zbl 1323.37047
Karachalios, N. I.; Sánchez-Rey, B.; Kevrekidis, P. G.; Cuevas, J.
8
2013
Excited states in the large density limit: a variational approach. Zbl 1197.35264
Coles, M. P.; Pelinovsky, D. E.; Kevrekidis, P. G.
8
2010
Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems. Zbl 1493.37089
Parker, Ross; Kevrekidis, P. G.; Sandstede, Björn
8
2020
Rotating matter waves in Bose-Einstein condensates. Zbl 1124.35085
Kapitula, Todd; Kevrekidis, P. G.; Carretero-González, R.
7
2007
Stability of discrete dark solitons in nonlinear Schrödinger lattices. Zbl 1144.39008
Pelinovsky, D. E.; Kevrekidis, P. G.
7
2008
Bose-Einstein condensates in superlattices. Zbl 1145.82309
Porter, Mason A.; Kevrekidis, P. G.
7
2005
Standard nearest-neighbour discretizations of Klein-Gordon models cannot preserve both energy and linear momentum. Zbl 1098.81055
Dmitriev, S. V.; Kevrekidis, P. G.; Yoshikawa, N.
7
2006
Strongly nonlinear waves in locally resonant granular chains. Zbl 1352.37182
Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna
7
2016
Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates. Zbl 1319.34080
Goodman, Roy H.; Kevrekidis, P. G.; Carretero-González, R.
7
2015
Focusing revisited: a renormalization/bifurcation approach. Zbl 1108.35135
Siettos, C. I.; Kevrekidis, I. G.; Kevrekidis, P. G.
7
2003
Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico. Zbl 1475.92152
Cuevas-Maraver, J.; Kevrekidis, P. G.; Chen, Q. Y.; Kevrekidis, G. A.; Villalobos-Daniel, Víctor; Rapti, Z.; Drossinos, Y.
7
2021
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. Zbl 1453.37070
Charalampidis, E. G.; Boullé, Nicolas; Farrell, Patrick E.; Kevrekidis, P. G.
7
2020
Nonlinearity from linearity: the Ermakov-Pinney equation revisited. Zbl 1116.34007
Kevrekidis, Panayotis G.; Drossinos, Yannis
6
2007
Exact stationary solutions for the translationally invariant discrete nonlinear Schrödinger equations. Zbl 1121.35128
Dmitriev, S. V.; Kevrekidis, P. G.; Yoshikawa, N.; Frantzeskakis, D. J.
6
2007
Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices. Zbl 1147.35097
Lukas, Mike; Pelinovsky, Dmitry; Kevrekidis, P. G.
6
2008
Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D. Zbl 1216.35142
Kevrekidis, Panayotis; Nahmod, Andrea R.; Zeng, Chongchun
6
2011
Deciding the nature of the coarse equation through microscopic simulations: The baby-bathwater scheme. Zbl 1031.65019
Li, Ju; Kevrekidis, Panayotis G.; Gear, C. William; Kevrekidis, Ioannis G.
6
2003
Bound states of two-dimensional solitons in the discrete nonlinear Schrödinger equation. Zbl 0997.35087
Kevrekidis, P. G.; Malomed, B. A.; Bishop, A. R.
6
2001
On \((2+1)\)-dimensional Friedmann-Robertson-Walker universe: an Ermakov-Pinney equation approach. Zbl 1038.83056
Williams, F. L.; Kevrekidis, P. G.
6
2003
Discrete compactons: Some exact results. Zbl 1040.37067
Kevrekidis, P. G.; Konotop, V. V.; Bishop, A. R.; Takeno, S.
6
2002
Dark solitons in external potentials. Zbl 1157.35089
Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G.
6
2008
Dynamics of phase transitions in a piecewise linear diatomic chain. Zbl 1366.37139
Vainchtein, Anna; Kevrekidis, Panayotis G.
6
2012
Traveling waves of the regularized short pulse equation. Zbl 1302.35093
Shen, Y.; Horikis, T. P.; Kevrekidis, P. G.; Frantzeskakis, D. J.
6
2014
Asymmetric wave propagation through nonlinear PT-symmetric oligomers. Zbl 1263.81153
D’Ambroise, J.; Kevrekidis, P. G.; Lepri, S.
6
2012
Nonlinear \(\mathcal{PT}\)-symmetric plaquettes. Zbl 1263.81169
Li, Kai; Kevrekidis, P. G.; Malomed, Boris A.; Günther, Uwe
6
2012
An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices. Zbl 1402.37086
Xu, Haitao; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna
6
2018
Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation. Zbl 1302.78022
Caplan, R. M.; Carretero-González, R.; Kevrekidis, P. G.; Malomed, B. A.
5
2012
Dynamics and manipulation of matter-wave solitons in optical superlattices. Zbl 1187.78056
Porter, Mason A.; Kevrekidis, P. G.; Carretero-González, R.; Frantzeskakis, D. J.
5
2006
Existence and stability of multisite breathers in honeycomb and hexagonal lattices. Zbl 1191.81113
Koukouloyannis, V.; Kevrekidis, P. G.; Law, K. J. H.; Kourakis, I.; Frantzeskakis, D. J.
5
2010
Being stable and discrete. Zbl 0936.35168
Balmforth, N. J.; Craster, R. V.; Kevrekidis, P. G.
5
2000
Resonant and non-resonant modulated amplitude waves for binary Bose–Einstein condensates in optical lattices. Zbl 1098.81881
Porter, Mason A.; Kevrekidis, P. G.; Malomed, Boris A.
5
2004
Nonlinear lattice dynamics of Bose-Einstein condensates. Zbl 1080.82016
Porter, Mason A.; Carretero-González, R.; Kevrekidis, P. G.; Malomed, Boris A.
5
2005
Domain walls of single-component Bose–Einstein condensates in external potentials. Zbl 1071.82007
Kevrekidis, P. G.; Malomed, B. A.; Frantzeskakis, D. J.; Bishop, A. R.; Nistazakis, H. E.; Carretero-González, R.
5
2005
Vortex nucleation in a dissipative variant of the nonlinear Schrödinger equation under rotation. Zbl 1364.35326
Carretero-González, R.; Kevrekidis, P. G.; Kolokolnikov, T.
5
2016
Higher-order lattice diffraction: solitons in the discrete NLS equation with next-nearest-neighbor interactions. Zbl 1057.82007
Kevrekidis, P. G.; Malomed, B. A.; Saxena, A.; Bishop, A. R.; Frantzeskakis, D. J.
5
2003
On the spectral stability of kinks in some \(\mathcal{PT}\)-symmetric variants of the classical Klein-Gordon field theories. Zbl 1304.35608
Demirkaya, A.; Kapitula, T.; Kevrekidis, P. G.; Stanislavova, M.; Stefanov, A.
5
2014
Stationary multi-kinks in the discrete sine-Gordon equation. Zbl 1487.37088
Parker, Ross; Kevrekidis, P. G.; Aceves, Alejandro
5
2022
Solitary waves in the Ablowitz-Ladik equation with power-law nonlinearity. Zbl 1425.35178
Cuevas-Maraver, J.; Kevrekidis, P. G.; Malomed, Boris A.; Guo, Lijuan
5
2019
Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment. Zbl 1504.92032
Celora, Giulia L.; Byrne, Helen M.; Kevrekidis, P. G.
2
2023
The role of mobility in the dynamics of the COVID-19 epidemic in Andalusia. Zbl 1519.92297
Rapti, Z.; Cuevas-Maraver, J.; Kontou, E.; Liu, S.; Drossinos, Y.; Kevrekidis, P. G.; Barmann, M.; Chen, Q.-Y.; Kevrekidis, G. A.
1
2023
The stability of the \(b\)-family of peakon equations. Zbl 1506.35013
Charalampidis, Efstathios G.; Parker, Ross; Kevrekidis, Panayotis G.; Lafortune, Stéphane
1
2023
Efficient manipulation of Bose-Einstein condensates in a double-well potential. Zbl 1517.35199
Adriazola, Jimmie; Goodman, Roy; Kevrekidis, Panayotis
1
2023
Stationary multi-kinks in the discrete sine-Gordon equation. Zbl 1487.37088
Parker, Ross; Kevrekidis, P. G.; Aceves, Alejandro
5
2022
Neural networks enforcing physical symmetries in nonlinear dynamical lattices: the case example of the Ablowitz-Ladik model. Zbl 1512.35512
Zhu, Wei; Khademi, Wesley; Charalampidis, Efstathios G.; Kevrekidis, Panayotis G.
3
2022
Mixed dispersion nonlinear Schrödinger equation in higher dimensions: theoretical analysis and numerical computations. Zbl 1507.35264
Stefanov, Atanas; Tsolias, Georgios A.; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.
3
2022
Dispersive shock waves in lattices: a dimension reduction approach. Zbl 1517.37083
Chong, Christopher; Herrmann, Michael; Kevrekidis, P. G.
1
2022
Asymptotic dynamics of higher-order lumps in the Davey-Stewartson II equation. Zbl 1511.35079
Guo, Lijuan; Kevrekidis, P. G.; He, Jingsong
1
2022
Unstable dynamics of solitary traveling waves in a lattice with long-range interactions. Zbl 1521.35074
Duran, Henry; Xu, Haitao; Kevrekidis, Panayotis G.; Vainchtein, Anna
1
2022
Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories. Zbl 1461.83073
Christov, Ivan C.; Decker, Robert J.; Demirkaya, A.; Gani, Vakhid A.; Kevrekidis, P. G.; Saxena, Avadh
18
2021
Lockdown measures and their impact on single- and two-age-structured epidemic model for the COVID-19 outbreak in Mexico. Zbl 1475.92152
Cuevas-Maraver, J.; Kevrekidis, P. G.; Chen, Q. Y.; Kevrekidis, G. A.; Villalobos-Daniel, Víctor; Rapti, Z.; Drossinos, Y.
7
2021
Kink-antikink interaction forces and bound states in a \(\phi^4\) model with quadratic and quartic dispersion. Zbl 1519.81385
Tsolias, G. A.; Decker, Robert J.; Demirkaya, A.; Alexander, Tristram J.; Kevrekidis, P. G.
5
2021
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation. Zbl 1453.76029
Kevrekidis, P. G.; Carretero-González, R.; Cuevas-Maraver, J.; Frantzeskakis, D. J.; Caputo, J.-G.; Malomed, B. A.
4
2021
Kink dynamics in a nonlinear beam model. Zbl 1459.76028
Decker, Robert J.; Demirkaya, A.; Kevrekidis, P. G.; Iglesias, Digno; Severino, Jeff; Shavit, Yonatan
4
2021
Universal reductions and solitary waves of weakly nonlocal defocusing nonlinear Schrödinger equations. Zbl 1519.35293
Koutsokostas, G. N.; Horikis, T. P.; Kevrekidis, P. G.; Frantzeskakis, D. J.
2
2021
Solitary waves with intensity-dependent dispersion: variational characterization. Zbl 1519.35057
Pelinovsky, D. E.; Ross, R. M.; Kevrekidis, P. G.
2
2021
Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia. Zbl 1470.92068
Celora, Giulia L.; Byrne, Helen M.; Zois, Christos E.; Kevrekidis, P. G.
1
2021
Localization in optical systems with an intensity-dependent dispersion. Zbl 1479.35820
Ross, R. M.; Kevrekidis, P. G.; Pelinovsky, D. E.
1
2021
Exploring critical points of energy landscapes: from low-dimensional examples to phase field crystal PDEs. Zbl 1467.74071
Subramanian, P.; Kevrekidis, I. G.; Kevrekidis, P. G.
1
2021
Existence and spectral stability of multi-pulses in discrete Hamiltonian lattice systems. Zbl 1493.37089
Parker, Ross; Kevrekidis, P. G.; Sandstede, Björn
8
2020
Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation. Zbl 1453.37070
Charalampidis, E. G.; Boullé, Nicolas; Farrell, Patrick E.; Kevrekidis, P. G.
7
2020
Solitary waves in the resonant nonlinear Schrödinger equation: stability and dynamical properties. Zbl 1448.35484
Williams, F.; Tsitoura, F.; Horikis, T. P.; Kevrekidis, P. G.
4
2020
Kink-antikink interaction forces and bound states in a biharmonic \(\phi^4\) model. Zbl 1519.35261
Decker, Robert J.; Demirkaya, A.; Manton, N. S.; Kevrekidis, P. G.
4
2020
Collision of \(\phi^4\) kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness. Zbl 1490.35373
Askari, Alidad; Moradi Marjaneh, Aliakbar; Rakhmatullina, Zhanna G.; Ebrahimi-Loushab, Mahdy; Saadatmand, Danial; Gani, Vakhid A.; Kevrekidis, Panayotis G.; Dmitriev, Sergey V.
4
2020
Emerging frontiers in nonlinear science. Zbl 1435.00056
4
2020
Stability of traveling waves in a driven Frenkel-Kontorova model. Zbl 1452.37079
Vainchtein, Anna; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Xu, Haitao
2
2020
Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving. Zbl 1451.35184
Fotopoulos, G.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Koukouloyannis, V.; Vetas, K.
2
2020
Propagation of periodic wave trains along the magnetic field in a collision-free plasma. Zbl 1519.82125
Abbas, G.; Kevrekidis, P. G.; Allen, J. E.; Koukouloyannis, V.; Frantzeskakis, D. J.; Karachalios, N.
2
2020
A quantitative framework for exploring exit strategies from the COVID-19 lockdown. Zbl 1495.92082
Fokas, A. S.; Cuevas-Maraver, J.; Kevrekidis, P. G.
2
2020
Vortex pairs in the discrete nonlinear Schrödinger equation. Zbl 1486.34049
Bramburger, J. J.; Cuevas-Maraver, J.; Kevrekidis, P. G.
1
2020
Stability analysis of ground states in a one-dimensional trapped spin-1 Bose gas. Zbl 1451.82050
Schmied, Christian-Marcel; Gasenzer, T.; Oberthaler, M. K.; Kevrekidis, P. G.
1
2020
Solitary waves in the Ablowitz-Ladik equation with power-law nonlinearity. Zbl 1425.35178
Cuevas-Maraver, J.; Kevrekidis, P. G.; Malomed, Boris A.; Guo, Lijuan
5
2019
On the nonexistence of degenerate phase-shift multibreathers in Klein-Gordon models with interactions beyond nearest neighbors. Zbl 1453.37067
Penati, T.; Koukouloyannis, V.; Sansottera, M.; Kevrekidis, P. G.; Paleari, S.
3
2019
Dynamical transitions between equilibria in a dissipative Klein-Gordon lattice. Zbl 1419.82011
Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Koukouloyannis, V.; Vetas, K.
2
2019
Continuous families of solitary waves in non-symmetric complex potentials: a Melnikov theory approach. Zbl 1442.35064
Kominis, Yannis; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Frantzeskakis, Dimitrios J.; Bountis, Anastasios
2
2019
Evaluating the robustness of rogue waves under perturbations. Zbl 1511.65097
Ward, C. B.; Kevrekidis, P. G.; Whitaker, N.
2
2019
A numerical bifurcation analysis of a dryland vegetation model. Zbl 1509.35038
Ward, C. B.; Kevrekidis, P. G.; Whitaker, N.
1
2019
Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation. Zbl 1464.81027
Cisneros-Ake, L. A.; Carretero-González, R.; Kevrekidis, P. G.; Malomed, B. A.
1
2019
Instabilities via negative Krein signature in a weakly non-Hamiltonian DNLS model. Zbl 1435.82016
Kevrekidis, Panayotis G.
1
2019
Breathers and other time-periodic solutions in an array of cantilevers decorated with magnets. Zbl 1448.34084
Chong, Christopher; Foehr, Andre; Charalampidis, Efstathios G.; Kevrekidis, Panayotis G.; Daraio, Chiara
1
2019
Wave propagation in a strongly nonlinear locally resonant granular crystal. Zbl 1380.74024
Vorotnikov, K.; Starosvetsky, Y.; Theocharis, G.; Kevrekidis, P. G.
13
2018
Computing stationary solutions of the two-dimensional Gross-Pitaevskii equation with deflated continuation. Zbl 1510.35291
Charalampidis, Efstathios G.; Kevrekidis, P. G.; Farrell, Patrick Emmet
9
2018
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice. Zbl 1390.37125
Penati, T.; Sansottera, M.; Paleari, S.; Koukouloyannis, V.; Kevrekidis, P. G.
9
2018
An energy-based stability criterion for solitary travelling waves in Hamiltonian lattices. Zbl 1402.37086
Xu, Haitao; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna
6
2018
Resonant interaction of \(\phi^4\) kink with \(\mathcal{PT}\)-symmetric perturbation with spatially periodic gain/loss coefficient. Zbl 1510.35185
Saadatmand, Danial; Borisov, Denis I.; Kevrekidis, Panayotis G.; Zhou, Kun; Dmitriev, Sergey V.
3
2018
Multi-vortex crystal lattices in Bose-Einstein condensates with a rotating trap. Zbl 1402.82020
Xie, Shuangquan; Kevrekidis, Panayotis G.; Kolokolnikov, Theodore
3
2018
Quasiperiodic granular chains and Hofstadter butterflies. Zbl 1404.70056
Martínez, Alejandro J.; Porter, Mason A.; Kevrekidis, P. G.
3
2018
Peregrine solitons and gradient catastrophes in discrete nonlinear Schrödinger systems. Zbl 1404.35414
Hoffmann, C.; Charalampidis, E. G.; Frantzeskakis, D. J.; Kevrekidis, P. G.
2
2018
Solitary waves of the two-dimensional Camassa-Holm-nonlinear Schrödinger equation. Zbl 1411.35246
Ward, C. B.; Mylonas, I. K.; Kevrekidis, P. G.; Frantzeskakis, D. J.
1
2018
Kink dynamics in a parametric \({\phi}^6\) system: a model with controllably many internal modes. Zbl 1383.81128
Demirkaya, A.; Decker, R.; Kevrekidis, P. G.; Christov, I. C.; Saxena, A.
14
2017
Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss. Zbl 1378.35033
Anastassi, Z. A.; Fotopoulos, G.; Frantzeskakis, D. J.; Horikis, T. P.; Karachalios, N. I.; Kevrekidis, P. G.; Stratis, I. G.; Vetas, K.
3
2017
Dark – bright soliton dynamics beyond the mean-field approximation. Zbl 1516.35356
Katsimiga, G. C.; Koutentakis, G. M.; Mistakidis, S. I.; Kevrekidis, P. G.; Schmelcher, P.
3
2017
Asymptotic expansions and solitons of the Camassa-Holm - nonlinear Schrödinger equation. Zbl 1378.35280
Mylonas, I. K.; Ward, C. B.; Kevrekidis, P. G.; Rothos, V. M.; Frantzeskakis, D. J.
2
2017
Existence, stability, and dynamics of harmonically trapped one-dimensional multi-component solitary waves: the near-linear limit. Zbl 1370.35246
Xu, H.; Kevrekidis, P. G.; Kapitula, T.
2
2017
On the characterization of vortex configurations in the steady rotating Bose-Einstein condensates. Zbl 1404.82035
Kevrekidis, P. G.; Pelinovsky, D. E.
2
2017
A Korteweg-de Vries description of dark solitons in polariton superfluids. Zbl 1375.35443
Carretero-González, R.; Cuevas-Maraver, J.; Frantzeskakis, D. J.; Horikis, T. P.; Kevrekidis, P. G.; Rodrigues, A. S.
1
2017
Solitary waves in a two-dimensional nonlinear Dirac equation: from discrete to continuum. Zbl 1380.81103
Cuevas-Maraver, J.; Kevrekidis, P. G.; Aceves, A. B.; Saxena, Avadh
1
2017
Revisiting diffusion: self-similar solutions and the \(t^{-1/2}\) decay in initial and initial-boundary value problems. Zbl 1370.35154
Kevrekidis, P. G.; Williams, M. O.; Mantzavinos, D.; Charalampidis, E. G.; Choi, M.; Kevrekidis, I. G.
1
2017
Editorial. Theoretical and computational advances in nonlinear dynamical systems. Zbl 1412.00028
1
2017
Traveling waves for the mass in mass model of granular chains. Zbl 1345.37083
Kevrekidis, Panayotis G.; Stefanov, Atanas G.; Xu, Haitao
9
2016
Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices. Zbl 1353.34014
Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.
9
2016
Breathers in a locally resonant granular chain with precompression. Zbl 1364.74028
Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna
8
2016
Strongly nonlinear waves in locally resonant granular chains. Zbl 1352.37182
Liu, Lifeng; James, Guillaume; Kevrekidis, Panayotis; Vainchtein, Anna
7
2016
Vortex nucleation in a dissipative variant of the nonlinear Schrödinger equation under rotation. Zbl 1364.35326
Carretero-González, R.; Kevrekidis, P. G.; Kolokolnikov, T.
5
2016
A \(\mathcal{PT}\)-symmetric dual-core system with the sine-Gordon nonlinearity and derivative coupling. Zbl 1373.35195
Cuevas-Maraver, Jesús; Malomed, Boris A.; Kevrekidis, Panayotis G.
2
2016
Collapse for the higher-order nonlinear Schrödinger equation. Zbl 1364.35323
Achilleos, V.; Diamantidis, S.; Frantzeskakis, D. J.; Horikis, T. P.; Karachalios, N. I.; Kevrekidis, P. G.
2
2016
Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators. Zbl 1364.34043
Duanmu, M.; Whitaker, N.; Kevrekidis, P. G.; Vainchtein, A.; Rubin, J. E.
2
2016
On the spontaneous time-reversal symmetry breaking in synchronously-pumped passive Kerr resonators. Zbl 1355.78034
Rossi, J.; Carretero-González, R.; Kevrekidis, P. G.; Haragus, M.
1
2016
Existence, stability and dynamics of discrete solitary waves in a binary waveguide array. Zbl 1346.82042
Shen, Y.; Kevrekidis, P. G.; Srinivasan, G.; Aceves, A. B.
1
2016
Existence and stability of \(\mathcal{PT}\)-symmetric states in nonlinear two-dimensional square lattices. Zbl 1364.39005
Xu, Haitao; Kevrekidis, P. G.; Pelinovsky, Dmitry E.
1
2016
Weakly nonlinear analysis of vortex formation in a dissipative variant of the Gross-Pitaevskii equation. Zbl 1342.35355
Tzou, J. C.; Kevrekidis, P. G.; Kolokolnikov, T.; Carretero-González, R.
1
2016
The defocusing nonlinear Schrödinger equation. From dark solitions to vortices and vortex rings. Zbl 1336.81004
Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Carretero-González, Ricardo
40
2015
Traveling waves and their tails in locally resonant granular systems. Zbl 1312.74007
Xu, H.; Kevrekidis, P. G.; Stefanov, A.
17
2015
Dynamics of vortex dipoles in anisotropic Bose-Einstein condensates. Zbl 1319.34080
Goodman, Roy H.; Kevrekidis, P. G.; Carretero-González, R.
7
2015
Kink scattering from a parity-time-symmetric defect in the \(\phi^4\) model. Zbl 1510.35186
Saadatmand, Danial; Dmitriev, Sergey V.; Borisov, Denis I.; Kevrekidis, Panayotis G.; Fatykhov, Minnekhan A.; Javidan, Kurosh
5
2015
Conservation laws, exact traveling waves and modulation instability for an extended nonlinear Schrödinger equation. Zbl 1330.35370
Achilleos, V.; Diamantidis, S.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.
4
2015
Generating functions, polynomials and vortices with alternating signs in Bose-Einstein condensates. Zbl 1326.81233
Barry, Anna M.; Hajir, F.; Kevrekidis, P. G.
3
2015
Solitary waves in a discrete nonlinear Dirac equation. Zbl 1309.35101
Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh
2
2015
\(\mathcal{PT}\)-symmetric dimer in a generalized model of coupled nonlinear oscillators. Zbl 1329.81200
Cuevas-Maraver, Jesús; Khare, Avinash; Kevrekidis, Panayotis G.; Xu, Haitao; Saxena, Avadh
1
2015
Spectral stability analysis for standing waves of a perturbed Klein-Gordon equation. Zbl 1343.35027
Stefanov, Atanas; Stanislavova, Milena; Kevrekidis, Panayotis G.; Demirkaya, Aslihan
1
2015
Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models. Zbl 1338.37111
Rapti, Zoi; Putkaradze, Vakhtang; Kevrekidis, Panayotis G.
1
2015
The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics. Zbl 1341.37046
56
2014
Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates. Zbl 1331.81100
He, J. S.; Charalampidis, E. G.; Kevrekidis, P. G.; Frantzeskakis, D. J.
19
2014
A tale of two distributions: from few to many vortices in quasi-two-dimensional Bose-Einstein condensates. Zbl 1371.82060
Kolokolnikov, T.; Kevrekidis, P. G.; Carretero-González, R.
11
2014
Traveling waves of the regularized short pulse equation. Zbl 1302.35093
Shen, Y.; Horikis, T. P.; Kevrekidis, P. G.; Frantzeskakis, D. J.
6
2014
On the spectral stability of kinks in some \(\mathcal{PT}\)-symmetric variants of the classical Klein-Gordon field theories. Zbl 1304.35608
Demirkaya, A.; Kapitula, T.; Kevrekidis, P. G.; Stanislavova, M.; Stefanov, A.
5
2014
Justification of leading order quasicontinuum approximations of strongly nonlinear lattices. Zbl 1307.35256
Chong, Christopher; Kevrekidis, P. G.; Schneider, Guido
2
2014
\(\mathcal{PT}\)-symmetric sine-Gordon breathers. Zbl 1307.35033
Lu, Nan; Kevrekidis, Panayotis G.; Cuevas-Maraver, Jesús
2
2014
Quasi-energies, parametric resonances, and stability limits in ac-driven \(PT\)-symmetric systems. Zbl 1345.78009
D’Ambroise, Jennie; Malomed, Boris A.; Kevrekidis, P. G.
2
2014
Solitons and their ghosts in \(\mathcal{P}\mathcal{T}\)-symmetric systems with defocusing nonlinearities. Zbl 1327.35346
Achilleos, V.; Kevrekidis, P. G.; Frantzeskakis, D. J.; Carretero-González, R.
1
2014
Cubic-quintic long-range interactions with double well potentials. Zbl 1293.35306
Tsilifis, Panagiotis A.; Kevrekidis, Panayotis G.; Rothos, Vassilis M.
1
2014
Breathers in oscillator chains with Hertzian interactions. Zbl 1278.37053
James, Guillaume; Kevrekidis, Panayotis G.; Cuevas, Jesús
21
2013
Nonlinear stationary states in PT-symmetric lattices. Zbl 1284.34017
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry
11
2013
Nonlinear dynamics in PT-symmetric lattices. Zbl 1284.35402
Kevrekidis, Panayotis G.; Pelinovsky, Dmitry E.; Tyugin, Dmitry Y.
10
2013
Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors. Zbl 1321.37073
Koukouloyannis, V.; Kevrekidis, P. G.; Cuevas, J.; Rothos, V.
10
2013
Escape dynamics in the discrete repulsive \({\phi}^4\) model. Zbl 1308.35260
Achilleos, V.; Álvarez, A.; Cuevas, J.; Frantzeskakis, D. J.; Karachalios, N. I.; Kevrekidis, P. G.; Sánchez-Rey, B.
10
2013
Traveling waves for monomer chains with precompression. Zbl 1323.37049
Stefanov, Atanas; Kevrekidis, Panayotis
9
2013
Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping. Zbl 1323.37047
Karachalios, N. I.; Sánchez-Rey, B.; Kevrekidis, P. G.; Cuevas, J.
8
2013
Bifurcations of asymmetric vortices in symmetric harmonic traps. Zbl 1270.35069
Pelinovsky, Dmitry E.; Kevrekidis, Panayotis G.
5
2013
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Cited by 1,913 Authors

115 Kevrekidis, Panayotis G.
59 Pelinovsky, Dmitry Efimovich
43 Kevrekidis, Ioannis George
32 Malomed, Boris A.
29 Cuevas Maraver, Jesús
29 Stefanov, Atanas G.
26 Frantzeskakis, Dimitri J.
18 Karachalios, Nikos I.
16 Yang, Jianke
15 Stanislavova, Milena
14 Carretero-González, Ricardo
14 Kapitula, Todd M.
14 Siettos, Constantinos I.
14 Susanto, Hadi
13 Samaey, Giovanni
13 Yan, Zhenya
12 Khare, Avinash
12 Saxena, Avadh Behari
11 Belmonte-Beitia, Juan
11 Dmitriev, Sergey V.
11 Vainchtein, Anna
10 Paleari, Simone
10 Penati, Tiziano
10 Zhou, Zhan
9 Goodman, Roy H.
9 Hennig, Dirk
9 Kutz, J. Nathan
8 Bramburger, Jason J.
8 Charalampidis, Efstathios G.
8 He, Jingsong
8 Hupkes, Hermen Jan
8 James, Guillaume
8 Kolokolnikov, Theodore
8 Maeda, Masaya
8 Parker, Ross
8 Roberts, Anthony John
8 Sandstede, Björn
8 Xu, Haitao
7 Alfimov, Georgiĭ Leonidovich
7 Campos, João G. F.
7 Coclite, Giuseppe Maria
7 Di Ruvo, Lorenzo
7 Gear, Charles William
7 Hakkaev, Sevdzhan A.
7 Horikis, Theodoros P.
7 Koukouloyannis, Vassilis
7 Liu, Qihuai
7 Lustri, Christopher J.
7 Rothos, Vassilis M.
7 Sacchetti, Andrea
7 Schmelcher, Peter
7 Schneider, Guido
7 Weinstein, Michael I.
6 Aceves, Alejandro B.
6 Alejo, Miguel A.
6 Brunton, Steven L.
6 Chong, Christopher
6 Cuccagna, Scipio
6 Demirkaya, Aslihan
6 Ekomasov, Evgeniĭ Grigor’evich
6 Faver, Timothy E.
6 Gani, Vakhid A.
6 Kavousanakis, Michail E.
6 Ma, Shiwang
6 Marzuola, Jeremy Louis
6 Mihalache, Dumitru
6 Mohammadi, Azadeh
6 Porter, Mason Alexander
6 Rapti, Zoi
6 Roose, Dirk
6 Starosvetsky, Yuli
6 Torres, Pedro José
6 Wright, J. Douglas
5 Achilleos, V. A.
5 Bazeia, Dionisio
5 Byrne, Helen Mary
5 Deconinck, Bernard
5 Erban, Radek
5 Fečkan, Michal
5 Guo, Rui
5 Guo, Yujin
5 Haragus, Mariana
5 Herrmann, Michael
5 Hong, Younghun
5 Kofané, Timoléon Crépin
5 Marangell, Robert
5 Nixon, Sean D.
5 Panayotaros, Panayotis
5 Pérez-García, Víctor Manuel
5 Ramadan, Abba Ibrahim
5 Russo, Lucia
5 Simas, Fabiano C.
5 Tchawoua, Clement
5 Tian, Bo
5 Truskinovsky, Lev
5 Xiu, Dongbin
5 Yoshimura, Kazuyuki
4 Abdulle, Assyr
4 Ablowitz, Mark Jay
4 Akylas, T. R.
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Cited in 228 Serials

118 Physica D
46 Physics Letters. A
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42 Journal of Computational Physics
36 Journal of Mathematical Physics
35 Journal of Physics A: Mathematical and Theoretical
31 Chaos
29 Chaos, Solitons and Fractals
28 Journal of Differential Equations
28 Journal of Nonlinear Science
27 SIAM Journal on Applied Dynamical Systems
26 Studies in Applied Mathematics
20 Nonlinearity
19 Journal of Mathematical Analysis and Applications
18 Nonlinear Dynamics
18 Multiscale Modeling & Simulation
17 Wave Motion
16 Communications in Mathematical Physics
16 Discrete and Continuous Dynamical Systems
15 Applied Mathematics and Computation
14 Journal of Computational and Applied Mathematics
13 Computer Methods in Applied Mechanics and Engineering
12 SIAM Journal on Mathematical Analysis
11 SIAM Journal on Scientific Computing
11 Journal of High Energy Physics
10 Mathematics and Computers in Simulation
10 Applied Mathematics Letters
9 Mathematical Methods in the Applied Sciences
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 Applied Numerical Mathematics
9 Journal of Dynamics and Differential Equations
8 Applicable Analysis
8 International Journal of Theoretical Physics
8 Proceedings of the American Mathematical Society
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Journal of Nonlinear Mathematical Physics
7 Computer Physics Communications
7 Theoretical and Mathematical Physics
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Journal of Scientific Computing
7 Communications in Theoretical Physics
7 Mathematics in Engineering
6 General Relativity and Gravitation
6 Journal of Mathematical Biology
6 Quarterly of Applied Mathematics
6 SIAM Journal on Applied Mathematics
6 Discrete and Continuous Dynamical Systems. Series B
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6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Acta Mechanica
5 Journal of Statistical Physics
5 Letters in Mathematical Physics
5 Physics Reports
5 International Journal for Numerical Methods in Engineering
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Applied Mathematical Modelling
5 Regular and Chaotic Dynamics
5 Waves in Random and Complex Media
5 Russian Journal of Nonlinear Dynamics
4 International Journal of Modern Physics B
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3 Archive for Rational Mechanics and Analysis
3 Computers & Mathematics with Applications
3 Communications on Pure and Applied Mathematics
3 Journal of Fluid Mechanics
3 Mathematical Biosciences
3 Physica A
3 Bulletin of Mathematical Biology
3 Automatica
3 SIAM Journal on Numerical Analysis
3 Japan Journal of Industrial and Applied Mathematics
3 Numerical Algorithms
3 Annals of Physics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Continuum Mechanics and Thermodynamics
3 Journal of Mathematical Sciences (New York)
3 NoDEA. Nonlinear Differential Equations and Applications
3 Abstract and Applied Analysis
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Qualitative Theory of Dynamical Systems
3 Foundations of Computational Mathematics
3 Physical Review E. Third Series
3 Milan Journal of Mathematics
3 Journal of Statistical Mechanics: Theory and Experiment
3 Boundary Value Problems
3 Chebyshevskiĭ Sbornik
3 The European Physical Journal B. Condensed Matter and Complex Systems
...and 128 more Serials
all top 5

Cited in 47 Fields

795 Partial differential equations (35-XX)
339 Dynamical systems and ergodic theory (37-XX)
197 Statistical mechanics, structure of matter (82-XX)
191 Numerical analysis (65-XX)
185 Quantum theory (81-XX)
136 Ordinary differential equations (34-XX)
104 Optics, electromagnetic theory (78-XX)
103 Difference and functional equations (39-XX)
103 Fluid mechanics (76-XX)
69 Mechanics of deformable solids (74-XX)
67 Biology and other natural sciences (92-XX)
48 Mechanics of particles and systems (70-XX)
42 Operator theory (47-XX)
40 Computer science (68-XX)
36 Probability theory and stochastic processes (60-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
19 Relativity and gravitational theory (83-XX)
19 Systems theory; control (93-XX)
16 Statistics (62-XX)
11 Operations research, mathematical programming (90-XX)
10 Special functions (33-XX)
10 Classical thermodynamics, heat transfer (80-XX)
9 Combinatorics (05-XX)
8 Functional analysis (46-XX)
8 Information and communication theory, circuits (94-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Real functions (26-XX)
5 Approximations and expansions (41-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Functions of a complex variable (30-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Differential geometry (53-XX)
3 Number theory (11-XX)
3 Integral equations (45-XX)
3 Geophysics (86-XX)
2 General and overarching topics; collections (00-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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