## Nonlinearity

 Short Title: Nonlinearity Publisher: IOP Publishing, Bristol; London Mathematical Society, London ISSN: 0951-7715; 1361-6544/e Online: http://iopscience.iop.org/0951-7715 Comments: Indexed cover-to-cover
 Documents Indexed: 4,418 Publications (since 1988) References Indexed: 1,147 Publications with 40,189 References.
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### Authors

 29 MacKay, Robert Sinclair 21 Krauskopf, Bernd 19 Kukavica, Igor 19 Titi, Edriss Saleh 19 Zakrzewski, Wojciech J. 18 Gibbon, John D. 17 Llibre, Jaume 17 Melbourne, Ian 17 Vivaldi, Franco 16 Ashwin, Peter 16 Simó, Carles 15 Broer, Henk W. 15 Bunimovich, Leonid Abramovich 15 Eckmann, Jean-Pierre 15 Majda, Andrew J. 14 Constantin, Peter 14 Díaz, Lorenzo Justiniano 14 Meiss, James D. 14 Pelinovsky, Dmitry Efimovich 14 Robinson, James Cooper 14 Turaev, Dmitry V. 13 Fokas, Athanassios S. 13 Glendinning, Paul Alexander 13 Kevrekidis, Panayotis G. 13 Ryzhik, Lenya 13 Vaienti, Sandro 12 Bizoń, Piotr 12 Collet, Pierre 12 Golubitsky, Martin A. 12 Keller, Gerhard 11 de la Llave, Rafael 11 Dullin, Holger R. 11 Forrester, Peter J. 11 Froyland, Gary 11 Keating, Jonathan Peter 11 Lamb, Jeroen S. W. 11 Wu, Jiahong 11 Yagasaki, Kazuyuki 10 Galatolo, Stefano 10 Joshi, Nalini 10 King, John Robert 10 Li, Wenxia 10 Nicol, Matthew 10 Sandstede, Björn 10 Scheel, Arnd 10 Sutcliffe, Paul Michael 10 Troubetzkoy, Serge Eugene 10 Urbański, Mariusz 10 Winkler, Michael 10 Young, Lai-Sang 9 Baladi, Viviane 9 Barreira, Luis Manuel 9 Chazottes, Jean-René 9 Cvitanović, Predrag 9 Dias, Ana Paula S. 9 Gelfreich, Vassili 9 Gonchenko, Sergey V. 9 Holm, Darryl D. 9 Knobloch, Edgar 9 Lebowitz, Joel Louis 9 Marmi, Stefano 9 Osinga, Hinke Maria 9 Piette, Bernard M. A. G. 9 Rand, David A. 9 Saut, Jean-Claude 9 Speight, James Martin 9 Stewart, Ian Nicholas 8 Ablowitz, Mark Jay 8 Afraimovich, Valentin S. 8 Bahsoun, Wael 8 Bambusi, Dario 8 Blank, Michael 8 Bruin, Henk 8 Chae, Dongho 8 Champneys, Alan R. 8 Dumortier, Freddy 8 Feireisl, Eduard 8 Ha, Seung-Yeal 8 Haydn, Nicolai T. A. 8 Kevrekidis, Ioannis George 8 Levi, Mark L. 8 Martín de Diego, David 8 Montgomery, Richard 8 Oprocha, Piotr 8 Ozorio de Almeida, Alfredo M. 8 Pego, Robert L. 8 Witte, Nicholas S. 8 Yorke, James Alan 8 Zgliczyński, Piotr 8 Ziane, Mohammed 7 Berry, Michael Victor 7 Bona, Jerry Lloyd 7 Delshams, Amadeu 7 Foiaş, Ciprian Ilie 7 Galaktionov, Victor Aleksandrovich 7 Its, Alexander Rudolfovich 7 Jolly, Michael S. 7 Jorba, Àngel 7 Kim, Donghan 7 Kiriki, Shin ...and 5,079 more Authors
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### Fields

 2,327 Dynamical systems and ergodic theory (37-XX) 1,711 Partial differential equations (35-XX) 730 Ordinary differential equations (34-XX) 637 Fluid mechanics (76-XX) 358 Mechanics of particles and systems (70-XX) 316 Statistical mechanics, structure of matter (82-XX) 289 Biology and other natural sciences (92-XX) 288 Probability theory and stochastic processes (60-XX) 252 Quantum theory (81-XX) 221 Measure and integration (28-XX) 185 Numerical analysis (65-XX) 168 Global analysis, analysis on manifolds (58-XX) 122 Differential geometry (53-XX) 112 Number theory (11-XX) 103 Operator theory (47-XX) 95 Mechanics of deformable solids (74-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 86 General topology (54-XX) 78 Difference and functional equations (39-XX) 78 Optics, electromagnetic theory (78-XX) 71 Functions of a complex variable (30-XX) 68 Geophysics (86-XX) 61 Systems theory; control (93-XX) 50 Integral equations (45-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 44 Special functions (33-XX) 42 Classical thermodynamics, heat transfer (80-XX) 39 Manifolds and cell complexes (57-XX) 37 Real functions (26-XX) 36 Functional analysis (46-XX) 34 Computer science (68-XX) 31 Information and communication theory, circuits (94-XX) 30 Combinatorics (05-XX) 28 Algebraic geometry (14-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 24 Approximations and expansions (41-XX) 21 Several complex variables and analytic spaces (32-XX) 19 Statistics (62-XX) 15 Convex and discrete geometry (52-XX) 15 Relativity and gravitational theory (83-XX) 14 Operations research, mathematical programming (90-XX) 13 Topological groups, Lie groups (22-XX) 12 Group theory and generalizations (20-XX) 12 Potential theory (31-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Commutative algebra (13-XX) 8 Integral transforms, operational calculus (44-XX) 8 Astronomy and astrophysics (85-XX) 7 Mathematical logic and foundations (03-XX) 6 Nonassociative rings and algebras (17-XX) 5 Sequences, series, summability (40-XX) 5 Algebraic topology (55-XX) 3 Field theory and polynomials (12-XX) 3 Geometry (51-XX) 2 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

3,793 Publications have been cited 42,444 times in 28,433 Documents Cited by Year
Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar. Zbl 0809.35057
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1994
On the equations of the large-scale ocean. Zbl 0766.35039
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1992
New formulations of the primitive equations of atmosphere and applications. Zbl 0746.76019
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1992
Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators. Zbl 0811.70017
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1994
Sensitive dependence on initial conditions. Zbl 0790.58025
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Systems of differential equations which are competitive or cooperative. III: Competing species. Zbl 0658.34024
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1988
Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity. Zbl 1276.35080
Chang, X; Wang, Z.-Q.
2013
Existence of travelling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems. Zbl 1103.35049
Li, Wantong; Lin, Guo; Ruan, Shigui
2006
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation. Zbl 1338.37099
Ablowitz, Mark J.; Musslimani, Ziad H.
2016
The Cauchy problem for the Novikov equation. Zbl 1232.35145
Himonas, A. Alexandrou; Holliman, Curtis
2012
Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046
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2010
Finite-time blow-up in a quasilinear system of chemotaxis. Zbl 1136.92006
Cieślak, Tomasz; Winkler, Michael
2008
Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Zbl 1392.34036
Panaggio, Mark J.; Abrams, Daniel M.
2015
A reaction-diffusion SIS epidemic model in a time-periodic environment. Zbl 1250.35172
Peng, Rui; Zhao, Xiao-Qiang
2012
Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Zbl 1009.35062
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2000
Li-Yorke sensitivity. Zbl 1045.37004
2003
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103
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2004
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
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2009
On the regularity of the solutions of the Navier-Stokes equations via one velocity component. Zbl 1190.35179
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2010
Symplectic integration of Hamiltonian systems. Zbl 0704.65052
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1990
Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays. Zbl 1118.37038
Cao, Jinde; Song, Qiankun
2006
Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. Zbl 1194.35053
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2009
Generic properties and problems of minimizing measures of Lagrangian systems. Zbl 0886.58037
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1996
Energy conservation and Onsager’s conjecture for the Euler equations. Zbl 1138.76020
Cheskidov, A.; Constantin, P.; Friedlander, S.; Shvydkoy, R.
2008
From attractor to chaotic saddle: A tale of transverse instability. Zbl 0887.58034
Ashwin, Peter; Buescu, Jorge; Stewart, Ian
1996
Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Zbl 1078.34035
2005
The nonlinear Schrödinger equation on the half-line. Zbl 1181.37095
Fokas, A. S.; Its, A. R.; Sung, L.-Y.
2005
On the nonexistence, existence and uniqueness of limit cycles. Zbl 0886.58087
Giacomini, H.; Llibre, J.; Viano, M.
1996
On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions. Zbl 0911.76014
Clopeau, Thierry; Mikelić, Andro; Robert, Raoul
1998
On the extension of the Painlevé property to difference equations. Zbl 0956.39003
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2000
Low-dimensional behaviour in the complex Ginzburg-Landau equation. Zbl 0655.58021
Doering, Charles R.; Gibbon, John D.; Holm, Darryl D.; Nicolaenko, Basil
1988
A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems. Zbl 1227.35161
Mielke, Alexander
2011
Extracting macroscopic dynamics: model problems and algorithms. Zbl 1073.82038
Givon, Dror; Kupferman, Raz; Stuart, Andrew
2004
Pattern formation in the one-dimensional Gray-Scott model. Zbl 0905.35044
Doelman, Arjen; Kaper, Tasso J.; Zegeling, Paul A.
1997
Stabilization in a two-species chemotaxis system with a logistic source. Zbl 1260.92014
Tello, J. I.; Winkler, M.
2012
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus. Zbl 1169.82306
Mouhot, Clément; Neumann, Lukas
2006
One component regularity for the Navier-Stokes equations. Zbl 1149.35069
Kukavica, Igor; Ziane, Mohammed
2006
A free boundary problem for a predator-prey model. Zbl 1126.35111
Lin, Zhigui
2007
Spacetime chaos in coupled map lattices. Zbl 0679.58028
Bunimovich, L. A.; Sinaj, Ya. G.
1988
Recycling of strange sets. I: Cycle expansions. II: Applications. Zbl 0702.58064
Artuso, Roberto; Aurell, Erik; Cvitanović, Predrag
1990
Existence of ground states for a modified nonlinear Schrödinger equation. Zbl 1189.35316
Ruiz, David; Siciliano, Gaetano
2010
On the initial value problem for the Davey-Stewartson systems. Zbl 0727.35111
Ghidaglia, Jean-Michel; Saut, Jean-Claude
1990
Stronger forms of sensitivity for dynamical systems. Zbl 1132.54023
Moothathu, T. K. Subrahmonian
2007
Ground states for fractional Schrödinger equations with critical growth. Zbl 1287.35027
Shang, Xudong; Zhang, Jihui
2014
Smooth attractors for strongly damped wave equations. Zbl 1113.35023
Pata, Vittorino; Zelik, Sergey
2006
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation. Zbl 1339.37066
Fokas, A. S.
2016
Attractors for modulation equations on unbounded domains – existence and comparison. Zbl 0833.35016
Mielke, Alexander; Schneider, Guido
1995
Attractors for non-compact semigroups via energy equations. Zbl 0914.35023
Moise, Ioana; Rosa, Ricardo; Wang, Xiaoming
1998
Solitary waves on FPU lattices. I: Qualitative properties, renormalization and continuum limit. Zbl 0962.82015
Friesecke, G.; Pego, R. L.
1999
Large deviations estimates for dynamical systems without the specification property. Application to the $$\beta$$-shifts. Zbl 1069.60029
Pfister, C.-E.; Sullivan, W. G.
2005
The boundedness-by-entropy method for cross-diffusion systems. Zbl 1326.35175
Jüngel, Ansgar
2015
Swarm dynamics and equilibria for a nonlocal aggregation model. Zbl 1288.92031
Fetecau, R. C.; Huang, Y.; Kolokolnikov, T.
2011
Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Zbl 1196.82102
Li, Xiaodi; Cao, Jinde
2010
Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015
Blank, Michael; Keller, Gerhard; Liverani, Carlangelo
2002
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
2010
Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional $$p$$-Laplacian. Zbl 1349.35413
Xiang, Mingqi; Zhang, Binlin; Rădulescu, Vicenţiu D.
2016
Gap solitons in periodic discrete nonlinear Schrödinger equations. Zbl 1220.35163
Pankov, A.
2006
On stationary patterns of a reaction-diffusion model with autocatalysis and saturation law. Zbl 1148.35094
Peng, Rui; Shi, Junping; Wang, Mingxin
2008
Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. Zbl 1167.34386
Huang, Tingwen; Li, Chuandong; Yu, Wenwu; Chen, Guanrong
2009
Ground states and concentration phenomena for the fractional Schrödinger equation. Zbl 1320.35320
Fall, Mouhamed Moustapha; Mahmoudi, Fethi; Valdinoci, Enrico
2015
An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331
Geng, Xianguo; Xue, Bo
2009
Determining nodes, finite differences schemes and inertial manifolds. Zbl 0714.34078
Foias, Ciprian; Titi, Edriss S.
1991
Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Zbl 1089.37024
Wu, Chai Wah
2005
Infinitely many solutions for the stationary Kirchhoff problems involving the fractional $$p$$-Laplacian. Zbl 1334.35406
Xiang, Mingqi; Molica Bisci, Giovanni; Tian, Guohua; Zhang, Binlin
2016
Nonlinear modulation of gravity waves: A region approach. Zbl 0742.76012
Craig, W.; Sulem, C.; Sulem, P. L.
1992
On the regularity of the primitive equations of the ocean. Zbl 1136.35069
Kukavica, Igor; Ziane, Mohammed
2007
Eleven small limit cycles in a cubic vector field. Zbl 0837.34042
Żołądek, Henryk
1995
The two loop soliton solution of the Vakhnenko equation. Zbl 0914.35115
Vakhnenko, V. O.; Parkes, E. J.
1998
Local and global well-posedness for aggregation equations and Patlak-Keller-Segel models with degenerate diffusion. Zbl 1222.49038
Bedrossian, Jacob; Rodríguez, Nancy; Bertozzi, Andrea L.
2011
Excitation thresholds for nonlinear localized modes on lattices. Zbl 0984.35147
Weinstein, M. I.
1999
Yang-Mills fields on quaternionic spaces. Zbl 0681.53037
Capria, M. Mamone; Salamon, S. M.
1988
The accuracy of symplectic integrators. Zbl 0747.58032
McLachlan, Robert I.; Atela, Pau
1992
Nonlinear dynamics and statistical physics of DNA. Zbl 1092.82015
Peyrard, Michel
2004
Stability and instability results for standing waves of quasi-linear Schrödinger equations. Zbl 1192.35163
Colin, Mathieu; Jeanjean, Louis; Squassina, Marco
2010
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Zbl 0839.76093
Majda, Andrew J.; Souganidis, Panagiotis E.
1994
Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves. Zbl 1419.35056
Bahrouni, Anouar; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2019
Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions. Zbl 1393.35090
Mingqi, Xiang; Rădulescu, Vicenţiu D.; Zhang, Binlin
2018
An analytical approach to the Schrödinger-Newton equations. Zbl 0942.35077
Tod, Paul; Moroz, Irene M.
1999
Superlinear nonlocal fractional problems with infinitely many solutions. Zbl 1322.35158
Zhang, Binlin; Molica Bisci, Giovanni; Servadei, Raffaella
2015
Cubic Liénard equations with linear damping. Zbl 0716.58023
Dumortier, Freddy; Rousseau, Christiane
1990
Universality in blow-up for nonlinear heat equations. Zbl 0857.35018
Bricmont, J.; Kupiainen, A.
1994
A modified-Leray-$$\alpha$$ subgrid scale model of turbulence. Zbl 1106.35050
Ilyin, Alexei A.; Lunasin, Evelyn M.; Titi, Edriss S.
2006
Finite-time aggregation into a single point in a reaction-diffusion system. Zbl 0909.35071
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
1997
Asymptotic stability of solitons of the subcritical gKdV equations revisited. Zbl 1064.35171
Martel, Yvan; Merle, Frank
2005
Inviscid limits for the Navier-Stokes equations with Navier friction boundary conditions. Zbl 1169.35365
Iftimie, Dragoş; Planas, Gabriela
2006
Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007
Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D.
2004
A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305
Ruelle, David
2009
Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians. Zbl 0921.58044
Horozov, Emil; Iliev, Iliya D.
1998
Global solution for a chemotactic-haptotactic model of cancer invasion. Zbl 1160.35431
Tao, Youshan; Wang, Mingjun
2008
On the 2D Zakharov system with $$L^{2}$$ Schrödinger data. Zbl 1173.35651
Bejenaru, I.; Herr, S.; Holmer, J.; Tataru, D.
2009
Higher order averaging theory for finding periodic solutions via Brouwer degree. Zbl 1291.34077
Llibre, Jaume; Novaes, Douglas D.; Teixeira, Marco A.
2014
Billiards with polynomial mixing rates. Zbl 1143.37314
Chernov, N.; Zhang, H.-K.
2005
Travelling wave solutions for an infection-age structured epidemic model with external supplies. Zbl 1227.92044
Ducrot, Arnaud; Magal, Pierre
2011
Decomposition of the $$(2+1)$$-dimensional Gardner equation and its quasi-periodic solutions. Zbl 1160.37405
Geng, Xianguo; Cao, Cewen
2001
Planar systems of piecewise linear differential equations with a line of discontinuity. Zbl 1003.34009
Giannakopoulos, Fotios; Pliete, Karin
2001
Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces. Zbl 0932.28006
Hunt, Brian R.; Kaloshin, Vadim Yu
1999
Monotone wavefronts of the nonlocal Fisher-KPP equation. Zbl 1231.35034
Fang, Jian; Zhao, Xiao-Qiang
2011
Existence and stability of time-periodic solutions to the Navier-Stokes equations in the whole space. Zbl 0737.35065
Maremonti, Paolo
1991
A simple framework to justify linear response theory. Zbl 1186.82006
Hairer, Martin; Majda, Andrew J.
2010
A phase field formulation of the Willmore problem. Zbl 1125.35366
Du, Qiang; Liu, Chun; Ryham, Rolf; Wang, Xiaoqiang
2005
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning. Zbl 07455604
E, Weinan; Han, Jiequn; Jentzen, Arnulf
2022
Center manifolds without a phase space for quasilinear problems in elasticity, biology, and hydrodynamics. Zbl 07489725
Chen, Robin Ming; Walsh, Samuel; Wheeler, Miles H.
2022
Local well-posedness of the coupled Yang-Mills and Dirac system for low regularity data. Zbl 1477.35196
Pecher, Hartmut
2022
Spectral stability of pattern-forming fronts in the complex Ginzburg-Landau equation with a quenching mechanism. Zbl 1482.35036
Goh, Ryan; de Rijk, Björn
2022
Vectorial variational problems in $$L^\infty$$ constrained by the Navier-Stokes equations. Zbl 1481.35307
Clark, Ed; Katzourakis, Nikos; Muha, Boris
2022
Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. Zbl 1481.35023
Lankeit, Johannes; Winkler, Michael
2022
The shock formation and optimal regularities of the resulting shock curves for 1D scalar conservation laws. Zbl 1481.35276
Huicheng, Yin; Lu, Zhu
2022
Weighted $$L^2$$-contractivity of Langevin dynamics with singular potentials. Zbl 07455622
Camrud, Evan; Herzog, David P.; Stoltz, Gabriel; Gordina, Maria
2022
Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem. Zbl 07479719
Kajihara, Yuika; Shibayama, Mitsuru
2022
Inverse variational principles for control systems. Zbl 07479723
Wang, Tao; Huang, Yu
2022
Turnpike in Lipschitz-nonlinear optimal control. Zbl 07479725
Esteve-Yagüe, Carlos; Geshkovski, Borjan; Pighin, Dario; Zuazua, Enrique
2022
Asymptotic spreading speeds for a predator-prey system with two predators and one prey. Zbl 1458.35106
Ducrot, Arnaud; Giletti, Thomas; Guo, Jong-Shenq; Shimojo, Masahiko
2021
Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit. Zbl 1477.34074
Uldall Kristiansen, K.; Szmolyan, P.
2021
Wild pseudohyperbolic attractor in a four-dimensional Lorenz system. Zbl 1472.34106
Gonchenko, Sergey; Kazakov, Alexey; Turaev, Dmitry
2021
Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations. Zbl 1472.35352
Dinh, Van Duong
2021
Statistical properties of physical-like measures. Zbl 1464.37033
Gan, Shaobo; Yang, Fan; Yang, Jiagang; Zheng, Rusong
2021
Existence and regularity results for terminal value problem for nonlinear fractional wave equations. Zbl 1460.35368
Bao, Ngoc Tran; Caraballo, Tomás; Tuan, Nguyen Huy; Zhou, Yong
2021
Higher-dimensional Euler fluids and Hasimoto transform: counterexamples and generalizations. Zbl 1459.76032
Khesin, Boris; Yang, Cheng
2021
Roots of generalised Hermite polynomials when both parameters are large. Zbl 1460.33012
Masoero, Davide; Roffelsen, Pieter
2021
On the origins of Riemann-Hilbert problems in mathematics. Zbl 1462.30070
Bothner, Thomas
2021
Periodic travelling waves on damped 2D lattices with oscillating external forces. Zbl 07353384
Zhang, Ling; Guo, Shangjiang
2021
On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport. Zbl 1468.35217
Scarpa, Luca; Signori, Andrea
2021
Singularly perturbed boundary-equilibrium bifurcations. Zbl 1480.34056
Jelbart, S.; Kristiansen, K. U.; Wechselberger, M.
2021
Torus knot choreographies in the $$n$$-body problem. Zbl 1476.70035
Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D.
2021
Attractive Riesz potentials acting on hard spheres. Zbl 1475.49020
Kubin, A.; Ponsiglione, M.
2021
Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W. Si and J. Si and extensions. Zbl 1473.37075
Cheng, Hongyu; de la Llave, Rafael; Wang, Fenfen
2021
Extremes and extremal indices for level set observables on hyperbolic systems. Zbl 1464.37005
Carney, Meagan; Holland, Mark; Nicol, Matthew
2021
Traveling fronts in dissipative granular chains and nonlinear lattices. Zbl 1462.37084
James, Guillaume
2021
The Dirichlet problem for the 1-Laplacian with a general singular term and $$L^1$$-data. Zbl 1465.35230
Latorre, Marta; Oliva, Francescantonio; Petitta, Francesco; Segura de León, Sergio
2021
On the emerging asymptotic patterns of the Winfree model with frustrations. Zbl 1466.34072
Ha, Seung-Yeal; Kang, Myeongju; Moon, Bora
2021
Influence of a background magnetic field on a 2D magnetohydrodynamic flow. Zbl 1466.35295
Feng, Wen; Hafeez, Farzana; Wu, Jiahong
2021
Asymptotics for the second-largest Lyapunov exponent for some Perron-Frobenius operator cocycles. Zbl 1466.37045
Horan, Joseph
2021
Linear instability criterion for the Korteweg-de Vries equation on metric star graphs. Zbl 1468.35164
Angulo Pava, Jaime; Cavalcante, Márcio
2021
A direct approach to nonuniqueness and failure of compactness for the SQG equation. Zbl 1473.35580
Isett, Philip; Ma, Andrew
2021
Tanaka-Ito $$\alpha$$-continued fractions and matching. Zbl 1475.37010
Carminati, Carlo; Langeveld, Niels; Steiner, Wolfgang
2021
Oblique interactions between solitons and mean flows in the Kadomtsev-Petviashvili equation. Zbl 1467.35094
Ryskamp, S.; Hoefer, M. A.; Biondini, G.
2021
Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation. Zbl 1472.35351
Cingolani, S.; Gallo, M.; Tanaka, K.
2021
Global dynamics of a quintic Liénard system with $$\mathbb{Z}_2$$-symmetry. I: Saddle case. Zbl 1478.34033
Chen, Hebai; Tang, Yilei; Xiao, Dongmei
2021
Computing Garsia entropy for Bernoulli convolutions with algebraic parameters. Zbl 1473.37009
Hare, Kevin G.; Kempton, Tom; Persson, Tomas; Sidorov, Nikita
2021
Moments of generalized Cauchy random matrices and continuous-Hahn polynomials. Zbl 1467.60004
Assiotis, Theodoros; Bedert, Benjamin; Gunes, Mustafa Alper; Soor, Arun
2021
Nonlinear stability of fast invading fronts in a Ginzburg-Landau equation with an additional conservation law. Zbl 1469.35027
Hilder, Bastian
2021
Nonlinear scalar field equation with competing nonlocal terms. Zbl 1471.35142
d&rsquo;Avenia, Pietro; Mederski, Jarosław; Pomponio, Alessio
2021
EDP-convergence for nonlinear fast-slow reaction systems with detailed balance. Zbl 1475.35183
Mielke, Alexander; Peletier, Mark A.; Stephan, Artur
2021
Almost sure invariance principle for random dynamical systems via Gouëzel’s approach. Zbl 07384587
Dragičević, D.; Hafouta, Y.
2021
Long time finite dimensionality in charged fluids. Zbl 1476.35189
Abdo, Elie; Ignatova, Mihaela
2021
Stability of the multi-solitons of the modified Korteweg-de Vries equation. Zbl 1479.35738
Le Coz, Stefan; Wang, Zhong
2021
Dynamical zeta functions in the nonorientable case. Zbl 07396387
Borns-Weil, Yonah; Shen, Shu
2021
Rigorous derivation of the Whitham equations from the water waves equations in the shallow water regime. Zbl 1479.35663
Emerald, Louis
2021
Invariant probabilities for discrete time linear dynamics via thermodynamic formalism. Zbl 07430795
Lopes, Artur O.; Messaoudi, Ali; Stadlbauer, Manuel; Vargas, Victor
2021
On some rigorous aspects of fragmented condensation. Zbl 1452.81175
Dimonte, Daniele; Falconi, Marco; Olgiati, Alessandro
2021
Extreme value distributions of observation recurrences. Zbl 1473.37010
Caby, Theo; Faranda, Davide; Vaienti, S.; Yiou, Pascal
2021
Recursion and Hamiltonian operators for integrable nonabelian difference equations. Zbl 1461.37074
Casati, Matteo; Wang, Jing Ping
2021
Linear instability for periodic orbits of non-autonomous Lagrangian systems. Zbl 1456.58013
Portaluri, Alessandro; Wu, Li; Yang, Ran
2021
Competition instabilities of spike patterns for the 1D Gierer-Meinhardt and Schnakenberg models are subcritical. Zbl 1456.35013
Kolokolnikov, Theodore; Paquin-Lefebvre, Frédéric; Ward, Michael J.
2021
The pendulum under vibrations revisited. Zbl 1481.70083
Artstein, Zvi
2021
New structurally unstable families of planar vector fields. Zbl 1460.37021
Goncharuk, Nataliya; Kudryashov, Yury G.; Solodovnikov, Nikita
2021
Modulated equations of Hamiltonian PDEs and dispersive shocks. Zbl 1457.35052
Benzoni-Gavage, Sylvie; Mietka, Colin; Rodrigues, Luis Miguel
2021
Semi-infinite travelling waves arising in a general reaction-diffusion Stefan model. Zbl 1458.35107
2021
The Boussinesq system revisited. Zbl 1460.35295
Molinet, Luc; Talhouk, Raafat; Zaiter, Ibtissam
2021
Braids of the $$N$$-body problem. I: Cabling a body in a central configuration. Zbl 1479.70029
Fontaine, Marine; García-Azpeitia, Carlos
2021
Global stability for the three-dimensional logistic map. Zbl 1473.39025
Dudás, János; Krisztin, Tibor
2021
A weighted eigenvalue problem of the biased infinity Laplacian. Zbl 1459.35299
Liu, Fang; Yang, Xiao-Ping
2021
New examples of stably ergodic diffeomorphisms in dimension 3. Zbl 1472.37021
Núñez, Gabriel; Obata, Davi; Rodriguez Hertz, Jana
2021
Singular diffusion with Neumann boundary conditions. Zbl 1459.35230
Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik
2021
One-dimensional multi-agent optimal control with aggregation and distance constraints: qualitative properties and mean-field limit. Zbl 1467.82048
Cesaroni, Annalisa; Cirant, Marco
2021
Fractal squares with finitely many connected components. Zbl 1466.28013
Xiao, Jian-Ci
2021
Solution landscape of a reduced Landau-de Gennes model on a hexagon. Zbl 1466.35296
Han, Yucen; Yin, Jianyuan; Zhang, Pingwen; Majumdar, Apala; Zhang, Lei
2021
Global weak solutions to a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential. Zbl 1464.35058
He, Jingning
2021
A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa-Holm system. Zbl 1464.35280
Galtung, Sondre Tesdal; Raynaud, Xavier
2021
Wasserstein stability estimates for covariance-preconditioned Fokker-Planck equations. Zbl 1466.35343
Carrillo, J. A.; Vaes, U.
2021
On the fast rotation asymptotics of a non-homogeneous incompressible MHD system. Zbl 1464.35215
Cobb, Dimitri; Fanelli, Francesco
2021
On the structure of Hamiltonian impact systems. Zbl 1470.37082
Pnueli, M.; Rom-Kedar, V.
2021
Stability of the planar rarefaction wave to three-dimensional Navier-Stokes-Korteweg equations of compressible fluids. Zbl 1468.35142
Li, Yeping; Luo, Zhen
2021
Some properties of circle maps with zero topological entropy. Zbl 1469.37032
Yang, Yini
2021
The multiplicative constant for the Meijer-$$G$$ kernel determinant. Zbl 1470.60130
Charlier, Christophe; Lenells, Jonatan; Mauersberger, Julian
2021
Hénon-Devaney like maps. Zbl 1472.37055
2021
The classical Kelvin-Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity. Zbl 1468.35125
Antontsev, S. N.; de Oliveira, H. B.; Khompysh, Kh
2021
The local universality of Muttalib-Borodin ensembles when the parameter $$\theta$$ is the reciprocal of an integer. Zbl 1468.30066
Molag, L. D.
2021
The stochastic Cahn-Hilliard equation with degenerate mobility and logarithmic potential. Zbl 1467.35199
Scarpa, Luca
2021
Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a sub-spherical sector. Zbl 1467.35173
Chen, Hongbin; Li, Rui; Yao, Ruofei
2021
Existence, uniqueness and regularity for the stochastic Ericksen-Leslie equation. Zbl 1467.60046
De Bouard, Anne; Hocquet, Antoine; Prohl, Andreas
2021
Multiple timescales and the parametrisation method in geometric singular perturbation theory. Zbl 1471.34112
Lizarraga, Ian; Rink, Bob; Wechselberger, Martin
2021
Almost additive multifractal analysis for flows. Zbl 1472.37037
Barreira, Luis; Holanda, Carllos
2021
Strong Feller property of the magnetohydrodynamics system forced by space-time white noise. Zbl 1472.35389
Yamazaki, Kazuo
2021
Bicycle paths, elasticae and sub-Riemannian geometry. Zbl 1468.53029
Ardentov, Andrei; Bor, Gil; Le Donne, Enrico; Montgomery, Richard; Sachkov, Yuri
2021
Method of nose stretching in Newton’s problem of minimal resistance. Zbl 1467.49008
Plakhov, Alexander
2021
Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction. Zbl 1473.37092
Gallone, M.; Pasquali, S.
2021
Applications of Nijenhuis geometry. II: Maximal pencils of multi-Hamiltonian structures of hydrodynamic type. Zbl 1475.37075
Bolsinov, Alexey V.; Konyaev, Andrey Yu; Matveev, Vladimir S.
2021
Conditional variational principles of conditional entropies for amenable group actions. Zbl 1475.37024
Changrong, Zhu
2021
Symmetry structure of multi-dimensional time-fractional partial differential equations. Zbl 1468.76049
Zhang, Zhi-Yong; Zheng, Jia
2021
Spectral asymptotics of Laplacians associated with a class of higher-dimensional graph-directed self-similar measures. Zbl 07368124
Ngai, Sze-Man; Xie, Yuanyuan
2021
Global existence to a diagonal hyperbolic system for any BV initial data. Zbl 1467.35213
Al Zohbi, Maryam; El Hajj, Ahmad; Jazar, Mustapha
2021
Global smooth solution of 2D temperature-dependent tropical climate model. Zbl 1473.35438
Dong, Bo-Qing; Li, Chaoying; Xu, Xiaojing; Ye, Zhuan
2021
The planar Schrödinger-Poisson system with a positive potential. Zbl 1471.35118
Azzollini, Antonio
2021
Erratum to: “The local universality of Muttalib-Borodin ensembles when the parameter $$\theta$$ is the reciprocal of an integer”. Zbl 1472.30016
Molag, L. D.
2021
Weak-strong uniqueness property for models of compressible viscous fluids near vacuum. Zbl 1479.35609
Feireisl, Eduard; Novotný, Antonín
2021
Traveling waves in a mean field learning model. Zbl 1469.91033
Papanicolaou, George; Ryzhik, Lenya; Velcheva, Katerina
2021
Soft congestion approximation to the one-dimensional constrained Euler equations. Zbl 1479.35647
Bianchini, Roberta; Perrin, Charlotte
2021
Gevrey stability of hydrostatic approximate for the Navier-Stokes equations in a thin domain. Zbl 1479.35699
Wang, Chao; Wang, Yuxi; Zhang, Zhifei
2021
On minimal energy solutions to certain classes of integral equations related to soliton gases for integrable systems. Zbl 1479.31001
Kuijlaars, Arno; Tovbis, Alexander
2021
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### Cited by 23,054 Authors

 199 Llibre, Jaume 89 Titi, Edriss Saleh 88 Guo, Boling 72 Ha, Seung-Yeal 71 Li, Wan-Tong 69 Mu, Chunlai 68 Algaba, Antonio 67 Winkler, Michael 66 Wei, Juncheng 65 Kevrekidis, Panayotis G. 64 de la Llave, Rafael 64 Pelinovsky, Dmitry Efimovich 63 Wu, Jiahong 61 Cao, Jinde 61 Geng, Xianguo 61 Han, Maoan 60 Valls Anglés, Cláudia 56 Giné, Jaume 55 Temam, Roger Meyer 51 Ashwin, Peter 51 Carrillo de la Plata, José Antonio 51 Majda, Andrew J. 48 Knobloch, Edgar 48 Rădulescu, Vicenţiu D. 47 Duan, Jinqiao 47 Melbourne, Ian 46 Kukavica, Igor 46 Zhang, Binlin 45 Tang, Xianhua 44 Wang, Bixiang 42 García, Cristóbal 41 Varandas, Paulo 40 Chen, Guanrong 40 Kevrekidis, Ioannis George 40 MacKay, Robert Sinclair 40 Shi, Junping 40 Yu, Pei 39 Urbański, Mariusz 39 Xu, Junxiang 38 Constantin, Peter 38 Gardini, Laura 38 Jüngel, Ansgar 38 Schneider, Guido 38 Stewart, Ian Nicholas 38 Tachim Medjo, Theodore 37 Kühn, Christian 37 Lopes, Artur Oscar 37 Vaienti, Sandro 37 Wei, Junjie 36 Gasull, Armengol 36 Guo, Shangjiang 36 Krauskopf, Bernd 36 Robinson, James Cooper 36 Turaev, Dmitry V. 36 Wu, Xinxing 36 Zelik, Sergey V. 35 Feireisl, Eduard 35 He, Jingsong 35 Mielke, Alexander 35 Perthame, Benoît 35 Tao, Youshan 35 Zaag, Hatem 35 Zhang, Zujin 34 Cordoba, Diego 34 Langa, Jose’ Antonio 34 Ruan, Shigui 34 Xiang, Mingqi 33 Chae, Dongho 33 Gao, Hongjun 33 Oprocha, Piotr 33 Saut, Jean-Claude 33 Wiggins, Stephen 32 Fan, Engui 32 Lin, Zhigui 32 Shen, Wenxian 32 Xi, Lifeng 32 Zhao, Caidi 31 Ambrosio, Vincenzo 31 Borisov, Alekseĭ Vladimirovich 31 Fan, Jishan 31 Feng, Zhaosheng 31 Froyland, Gary 31 Li, Fucai 31 Meiss, James D. 31 Wang, Zhi Cheng 31 Zhang, Xiang 31 Zheng, Pan 30 Choi, Young-Pil 30 Vicol, Vlad C. 30 Ye, Xiangdong 30 Zhao, Yulin 29 Broer, Henk W. 29 Gala, Sadek 29 Galatolo, Stefano 29 Grasselli, Maurizio 29 Liu, Zhengrong 29 Liu, Zuhan 29 Osinga, Hinke Maria 29 Ward, Michael J. 29 Wu, Shiliang ...and 22,954 more Authors
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### Cited in 841 Journals

 1,428 Journal of Differential Equations 1,122 Physica D 1,021 Journal of Mathematical Analysis and Applications 718 Journal of Mathematical Physics 689 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 663 Chaos 645 Communications in Mathematical Physics 579 Nonlinearity 573 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 553 Discrete and Continuous Dynamical Systems 429 Journal of Statistical Physics 421 Ergodic Theory and Dynamical Systems 419 Nonlinear Analysis. Real World Applications 374 Archive for Rational Mechanics and Analysis 367 Chaos, Solitons and Fractals 349 Journal of Nonlinear Science 341 Discrete and Continuous Dynamical Systems. Series B 315 Communications in Nonlinear Science and Numerical Simulation 310 Applied Mathematics and Computation 308 Journal of Dynamics and Differential Equations 300 ZAMP. Zeitschrift für angewandte Mathematik und Physik 298 SIAM Journal on Mathematical Analysis 276 Journal of Fluid Mechanics 257 Transactions of the American Mathematical Society 254 Nonlinear Dynamics 248 Proceedings of the American Mathematical Society 244 Applied Mathematics Letters 235 Journal of Computational Physics 225 Advances in Mathematics 218 SIAM Journal on Applied Dynamical Systems 213 Dynamical Systems 213 Communications on Pure and Applied Analysis 200 Calculus of Variations and Partial Differential Equations 190 Regular and Chaotic Dynamics 180 Applicable Analysis 176 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 175 Computers & Mathematics with Applications 165 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 162 Journal of Functional Analysis 154 Journal of Mathematical Fluid Mechanics 147 Abstract and Applied Analysis 137 Mathematical Methods in the Applied Sciences 136 Journal of Computational and Applied Mathematics 136 Qualitative Theory of Dynamical Systems 134 Journal of Mathematical Biology 134 Advances in Difference Equations 133 Acta Applicandae Mathematicae 133 Communications in Partial Differential Equations 124 Physics of Fluids 120 Journal of Geometry and Physics 120 Boundary Value Problems 120 Discrete and Continuous Dynamical Systems. Series S 117 Acta Mathematica Sinica. English Series 117 Science China. Mathematics 112 Journal de Mathématiques Pures et Appliquées. Neuvième Série 112 Journal of Difference Equations and Applications 110 Journal of Nonlinear Mathematical Physics 109 Celestial Mechanics and Dynamical Astronomy 101 Theoretical and Mathematical Physics 100 Journal of Evolution Equations 100 Comptes Rendus. Mathématique. Académie des Sciences, Paris 94 NoDEA. Nonlinear Differential Equations and Applications 94 Stochastics and Dynamics 93 Annales Henri Poincaré 91 Physics Letters. A 88 Studies in Applied Mathematics 85 Israel Journal of Mathematics 79 Inventiones Mathematicae 79 Topology and its Applications 79 SIAM Journal on Applied Mathematics 77 Monatshefte für Mathematik 73 Chinese Annals of Mathematics. Series B 73 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 70 Mathematische Zeitschrift 69 Journal of High Energy Physics 68 Journal of Theoretical Biology 67 Journal of Dynamical and Control Systems 66 Journal of Scientific Computing 66 Communications in Contemporary Mathematics 65 Mathematics and Computers in Simulation 63 Bulletin of Mathematical Biology 62 Applied Mathematics and Optimization 62 Advances in Nonlinear Analysis 61 Communications on Pure and Applied Mathematics 61 Applied Numerical Mathematics 61 Journal of Physics A: Mathematical and Theoretical 60 Annales de l’Institut Fourier 60 Mathematische Annalen 60 Bulletin des Sciences Mathématiques 60 Complex Variables and Elliptic Equations 60 Kinetic and Related Models 59 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 58 Letters in Mathematical Physics 58 Annali di Matematica Pura ed Applicata. Serie Quarta 58 Stochastic Processes and their Applications 58 Discrete Dynamics in Nature and Society 56 Computer Methods in Applied Mechanics and Engineering 56 Journal of Mathematical Sciences (New York) 55 Numerische Mathematik 54 Journal of the Franklin Institute ...and 741 more Journals
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### Cited in 63 Fields

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