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SIAM Journal on Applied Dynamical Systems

Short Title: SIAM J. Appl. Dyn. Syst.
Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
ISSN: 1536-0040/e
Online: http://epubs.siam.org/loi/sjaday
Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2002).
Documents Indexed: 1,149 Publications (since 2002)
References Indexed: 598 Publications with 25,384 References.
all top 5

Authors

24 Krauskopf, Bernd
18 Osinga, Hinke Maria
14 Ward, Michael J.
13 Bressloff, Paul C.
13 Champneys, Alan R.
13 Guckenheimer, John M.
13 Kutz, J. Nathan
13 Rubin, Jonathan E.
13 Uldall Kristiansen, K.
12 Golubitsky, Martin A.
12 Meiss, James D.
11 Wechselberger, Martin
10 Ha, Seung-Yeal
10 Mischaikow, Konstantin
10 Rademacher, Jens Diederich Michael
10 Sandstede, Björn
9 de la Llave, Rafael
9 Doelman, Arjen
9 Mireles-James, Jason D.
8 Bollt, Erik M.
8 Brunton, Steven L.
8 Hogan, S. John
8 Kirk, Vivien
8 Kolokolnikov, Theodore
8 Lessard, Jean-Philippe
8 Moehlis, Jeff
7 Desroches, Mathieu
7 Ermentrout, Bard G.
7 Holmes, Philip J.
7 Kevrekidis, Ioannis George
7 Kevrekidis, Panayotis G.
7 Kilpatrick, Zachary P.
7 Knobloch, Edgar
7 Mezić, Igor
7 Pelinovsky, Dmitry Efimovich
7 Porter, Mason Alexander
7 Postlethwaite, Claire M.
7 Wilson, Dan D.
7 Zgliczyński, Piotr
6 Ashwin, Peter
6 Clément, Frédérique
6 Coombes, Stephen
6 Dullin, Holger R.
6 Gedeon, Tomáš
6 Kopell, Nancy J.
6 Kühn, Christian
6 Palacián, Jesús F.
6 Scheel, Arnd
6 Stewart, Ian Nicholas
6 van den Berg, Jan Bouwe
6 Wilczak, Daniel
6 Yanguas, Patricia
6 Yorke, James Alan
5 Avitabile, Daniele
5 Colombo, Alessandro G.
5 Folias, Stefanos E.
5 Gottwald, Georg A.
5 Kuznetsov, Yuri Alexandrovich
5 Lloyd, David J. B.
5 Mrozek, Marian
5 Rotstein, Horacio G.
5 Rowley, Clarence W.
5 Rucklidge, Alastair M.
5 Sieber, Jan
5 Wanner, Thomas
5 Wayne, Clarence Eugene
5 Wulff, Claudia
5 Yanchuk, Sergiĭ Volodymyrovych
4 Atay, Fatihcan M.
4 Balasuriya, Sanjeeva
4 Beck, Margaret
4 Bose, Amitabha
4 Buono, Pietro-Luciano
4 Capinski, Maciej J.
4 Chow, Carson C.
4 Cors, Josep Maria
4 Cummins, Bree
4 Dankowicz, Harry J.
4 Dawes, Jonathan H. P.
4 Day, Sarah L.
4 di Bernardo, Mario
4 Dias, Ana Paula S.
4 Faye, Grégory
4 Fetecau, Razvan C.
4 Froyland, Gary
4 Giesl, Peter
4 Hupkes, Hermen Jan
4 Jeffrey, Mike R.
4 Keener, James P.
4 Laing, Carlo R.
4 Lewis, Timothy J.
4 Li, Zhuchun
4 MacLaurin, James N.
4 Neuberger, John M.
4 Oldeman, Bart E.
4 Porfiri, Maurizio
4 Roberts, Anthony John
4 Rom-Kedar, Vered
4 Sepulchre, Rodolphe J.
4 Sieben, Nándor
...and 1,720 more Authors
all top 5

Fields

669 Dynamical systems and ergodic theory (37-XX)
497 Ordinary differential equations (34-XX)
336 Biology and other natural sciences (92-XX)
270 Partial differential equations (35-XX)
167 Numerical analysis (65-XX)
148 Mechanics of particles and systems (70-XX)
69 Fluid mechanics (76-XX)
67 Systems theory; control (93-XX)
64 Probability theory and stochastic processes (60-XX)
39 Statistical mechanics, structure of matter (82-XX)
32 Mechanics of deformable solids (74-XX)
31 Optics, electromagnetic theory (78-XX)
27 Computer science (68-XX)
25 Combinatorics (05-XX)
25 Operations research, mathematical programming (90-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Difference and functional equations (39-XX)
22 Integral equations (45-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
20 Operator theory (47-XX)
20 Statistics (62-XX)
18 Classical thermodynamics, heat transfer (80-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
12 Geophysics (86-XX)
12 Information and communication theory, circuits (94-XX)
8 General topology (54-XX)
8 Quantum theory (81-XX)
7 Differential geometry (53-XX)
6 Convex and discrete geometry (52-XX)
6 Algebraic topology (55-XX)
6 Manifolds and cell complexes (57-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Group theory and generalizations (20-XX)
5 Approximations and expansions (41-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
3 Field theory and polynomials (12-XX)
3 Commutative algebra (13-XX)
3 Algebraic geometry (14-XX)
3 Measure and integration (28-XX)
3 Functional analysis (46-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Mathematical logic and foundations (03-XX)
1 Real functions (26-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

957 Publications have been cited 9,808 times in 6,238 Documents Cited by Year
Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120
Wang, Wendi; Zhao, Xiao-Qiang
184
2012
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
127
2003
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
113
2003
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
111
2005
On the critical coupling for Kuramoto oscillators. Zbl 1242.34096
Dörfler, Florian; Bullo, Francesco
108
2011
Global synchronization of linearly hybrid coupled networks with time-varying delay. Zbl 1161.94011
Yu, Wenwu; Cao, Jinde; Lü, Jinhu
99
2008
Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020
Freire, Emilio; Ponce, Enrique; Torres, Francisco
95
2012
Existence and bifurcation of canards in \(\mathbb R^3\) in the case of a folded node. Zbl 1090.34047
Wechselberger, Martin
92
2005
Sufficient conditions for fast switching synchronization in time-varying network topologies. Zbl 1145.37345
Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray
79
2006
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
64
2016
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
58
2003
Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008
Coombes, S.
57
2008
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
54
2011
A vaccination model for transmission dynamics of influenza. Zbl 1067.92051
Alexander, M. E.; Bowman, C.; Moghadas, S. M.; Summers, R.; Gumel, A. B.; Sahai, B. M.
53
2004
Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330
Verwoerd, Mark; Mason, Oliver
52
2008
Projecting to a slow manifold: singularly perturbed systems and legacy codes. Zbl 1170.34343
Gear, C. W.; Kaper, T. J.; Kevrekidis, I. G.; Zagaris, A.
50
2005
Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
49
2005
Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019
Coombes, S.; Owen, M. R.
49
2004
Singular Hopf bifurcation in systems with two slow variables. Zbl 1168.37025
Guckenheimer, John
48
2008
On the implementation of the 0-1 test for chaos. Zbl 1161.37054
Gottwald, Georg A.; Melbourne, Ian
47
2009
A database schema for the analysis of global dynamics of multiparameter systems. Zbl 1186.37021
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Paweł
47
2009
Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation. Zbl 1382.35035
Song, Yongli; Jiang, Heping; Liu, Quan-Xing; Yuan, Yuan
46
2017
Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096
Arbabi, Hassan; Mezić, Igor
46
2017
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
46
2008
A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity. Zbl 1210.37062
Haro, A.; de la Llave, R.
45
2007
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
45
2008
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
45
2004
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
44
2004
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
44
2010
A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030
Guillamon, Antoni; Huguet, Gemma
42
2009
The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504
Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren
41
2003
A geometric approach to the global attractor conjecture. Zbl 1301.34063
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne
40
2014
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
39
2004
Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109
Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G.
38
2016
Chaos in the Hodgkin–Huxley model. Zbl 1002.92005
Guckenheimer, John; Oliva, Ricardo A.
37
2002
On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph. Zbl 1167.34331
Verwoerd, Mark; Mason, Oliver
37
2009
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
37
2009
Freezing solutions of equivariant evolution equations. Zbl 1061.65078
Beyn, W.-J.; Thümmler, V.
37
2004
\(R_0\) analysis of a spatiotemporal model for a stream population. Zbl 1252.35068
Mckenzie, H. W.; Jin, Y.; Jacobsen, J.; Lewis, M. A.
37
2012
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
37
2016
Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044
Colombo, Alessandro; Jeffrey, Mike R.
36
2011
The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. Zbl 1223.35033
Chen, W.; Ward, M. J.
36
2011
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
36
2003
The two-fold singularity of discontinuous vector fields. Zbl 1178.34042
Jeffrey, M. R.; Colombo, A.
35
2009
A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208
Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
35
2016
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
34
2012
Computation of mixed type functional differential boundary value problems. Zbl 1090.65093
Abell, Kate A.; Elmer, Christopher E.; Humphries, A. R.; Van Vleck, Erik S.
34
2005
Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060
Choi, Sun-Ho; Ha, Seung-Yeal
33
2014
To snake or not to snake in the planar Swift-Hohenberg equation. Zbl 1200.37014
Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn
33
2010
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
32
2009
Rigorous numerics for global dynamics: a study of the Swift-Hohenberg equation. Zbl 1058.35050
Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki
32
2005
Stationary coexistence of hexagons and rolls via rigorous computations. Zbl 1371.37036
van den Berg, Jan Bouwe; Deschênes, Andréa; Lessard, Jean-Philippe; Mireles James, Jason D.
32
2015
Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018
Jeffrey, Mike R.
31
2014
Existence and stability of standing pulses in neural networks. I: Existence. Zbl 1109.34002
Guo, Yixin; Chow, Carson C.
31
2005
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
31
2013
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
31
2010
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
31
2012
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
31
2015
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
31
2014
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
30
2002
Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012
Wiuf, Carsten; Feliu, Elisenda
30
2013
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
30
2013
Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361
Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi
30
2008
An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks. Zbl 1210.34086
Xu, Jian; Chung, Kwok-Wai; Chan, Chuen-Lit
29
2007
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
29
2003
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
29
2005
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
29
2013
The slow dynamics of two-spike solutions for the Gray-Scott and Gierer-Meinhardt systems: competition and oscillatory instabilities. Zbl 1145.35404
Sun, Wentao; Ward, Michael J.; Russell, Robert
29
2005
Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model. Zbl 1167.34353
Rotstein, Horacio G.; Wechselberger, Martin; Kopell, Nancy
29
2008
Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423
Huang, Jianhua; Shen, Wenxian
29
2009
Computing slow manifolds of saddle type. Zbl 1176.37026
Guckenheimer, John; Kuehn, Christian
29
2009
Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015
Veltz, Romain; Faugeras, Olivier
29
2010
Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118
Atay, Fatihcan M.; Hutt, Axel
28
2006
Dynamics on networks of cluster states for globally coupled phase oscillators. Zbl 1167.34326
Ashwin, Peter; Orosz, Gábor; Wordsworth, John; Townley, Stuart
28
2007
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
28
2008
Computing one-dimensional stable manifolds and stable sets of planar maps without the inverse. Zbl 1059.37067
England, J. P.; Krauskopf, B.; Osinga, H. M.
28
2004
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086
Guardia, Marcel; Hogan, S. John; Seara, Tere M.
28
2010
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
27
2007
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
27
2007
Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. Zbl 1145.74370
Goodman, Roy H.; Haberman, Richard
27
2005
A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems. Zbl 1059.37068
Day, S.; Junge, O.; Mischaikow, K.
27
2004
On the use of blowup to study regularizations of singularities of piecewise smooth dynamical systems in \(\mathbb{R}^3\). Zbl 1370.37100
Kristiansen, K. Uldall; Hogan, S. J.
27
2015
Parameterization of invariant manifolds for periodic orbits. I: Efficient numerics via the Floquet normal form. Zbl 1376.37057
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, J. D.
27
2015
The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation. Zbl 1210.35016
Kolokolnikov, Theodore; Sun, Wentao; Ward, Michael; Wei, Juncheng
26
2006
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
26
2005
Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060
Guckenheimer, John; Kuehn, Christian
26
2010
The structure of MESSI biological systems. Zbl 1395.92071
Pérez Millán, Mercedes; Dickenstein, Alicia
25
2018
Continuation-based computation of global isochrons. Zbl 1232.37014
Osinga, Hinke M.; Moehlis, Jeff
25
2010
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
25
2013
TC-HAT (\(\widehat{TC}\)): a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems. Zbl 1192.34004
Thota, Phanikrishna; Dankowicz, Harry
25
2008
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters \(H\in(1/3,1/2]\). Zbl 1336.60103
Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn
25
2016
Compressive sensing and low-rank libraries for classification of bifurcation regimes in nonlinear dynamical systems. Zbl 1354.37078
Brunton, Steven L.; Tu, Jonathan H.; Bright, Ido; Kutz, J. Nathan
24
2014
Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system. Zbl 1213.37046
Wilczak, Daniel
24
2010
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster. Zbl 1263.37036
Linaro, Daniele; Champneys, Alan; Desroches, Mathieu; Storace, Marco
24
2012
The forced van der Pol equation. II: Canards in the reduced system. Zbl 1089.37013
Bold, Katherine; Edwards, Chantal; Guckenheimer, John; Guharay, Sabyasachi; Hoffman, Kathleen; Hubbard, Judith; Oliva, Ricardo; Weckesser, Warren
24
2003
Reliable computation of robust response tori on the verge of breakdown. Zbl 1253.37077
Figueras, Jordi-Lluís; Haro, Àlex
24
2012
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
23
2019
Scaling in singular perturbation problems: blowing up a relaxation oscillator. Zbl 1243.34066
Kosiuk, Ilona; Szmolyan, Peter
23
2011
Poisson-Nernst-Planck systems for ion flow with a local hard-sphere potential for ion size effects. Zbl 1284.34078
Lin, Guojian; Liu, Weishi; Yi, Yingfei; Zhang, Mingji
23
2013
Front interactions in a three-component system. Zbl 1197.35047
van Heijster, P.; Doelman, A.; Kaper, T. J.; Promislow, K.
23
2010
On a competition-diffusion-advection system from river ecology: mathematical analysis and numerical study. Zbl 07484039
Yan, Xiao; Nie, Hua; Zhou, Peng
3
2022
A dynamical theory for singular stochastic delay differential equations. I: Linear equations and a multiplicative ergodic theorem on fields of Banach spaces. Zbl 07484043
Varzaneh, M. Ghani; Riedel, S.; Scheutzow, M.
2
2022
Rigorous verification of Hopf bifurcations via desingularization and continuation. Zbl 1476.37094
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena
4
2021
A simple proof of asymptotic consensus in the Hegselmann-Krause and Cucker-Smale models with normalization and delay. Zbl 1466.34073
Haskovec, Jan
4
2021
Symbolic proof of bistability in reaction networks. Zbl 1465.37105
Torres, Angélica; Feliu, Elisenda
3
2021
High-order approximation of heteroclinic bifurcations in truncated 2D-normal forms for the generic cases of Hopf-zero and nonresonant double Hopf singularities. Zbl 1478.34067
Qin, B. W.; Chung, K. W.; Algaba, A.; Rodríguez-Luis, A. J.
3
2021
Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation. Zbl 1482.34047
Wang, Yangyang; Gill, Jeffrey P.; Chiel, Hillel J.; Thomas, Peter J.
2
2021
The pair-replica-mean-field limit for intensity-based neural networks. Zbl 1465.37064
Baccelli, François; Taillefumier, Thibaud
2
2021
Pseudospectral approximation of Hopf bifurcation for delay differential equations. Zbl 1470.34185
de Wolff, B. A. J.; Scarabel, F.; Verduyn Lunel, S. M.; Diekmann, O.
2
2021
Synchrony and oscillatory dynamics for a 2-d PDE-ODE model of diffusion-mediated communication between small signaling compartments. Zbl 1462.35227
Iyaniwura, Sarafa A.; Ward, Michael J.
2
2021
High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga
2
2021
Nanoptera in weakly nonlinear woodpile chains and diatomic granular chains. Zbl 07444704
Deng, Guo; Lustri, Christopher J.; Porter, Mason A.
2
2021
How to coordinate vaccination and social distancing to mitigate SARS-CoV-2 outbreaks. Zbl 1472.92137
Grundel, Sara M.; Heyder, Stefan; Hotz, Thomas; Ritschel, Tobias K. S.; Sauerteig, Philipp; Worthmann, Karl
1
2021
The role of multiple repetitions on the size of a rumor. Zbl 1478.60268
Rada, Alejandra; Coletti, Cristian; Lebensztayn, Elcio; Rodriguez, Pablo M.
1
2021
High-order accuracy computation of coupling functions for strongly coupled oscillators. Zbl 1472.92051
Park, Youngmin; Wilson, Dan D.
1
2021
Abundance of strange attractors near an attracting periodically perturbed network. Zbl 1476.37059
Rodrigues, Alexandre A. P.
1
2021
Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow. Zbl 1461.76172
Han, Daozhi; Hernandez, Marco; Wang, Quan
1
2021
Stability of motion induced by a point vortex under arbitrary polynomial perturbations. Zbl 1466.37046
Liu, Qihuai; Torres, Pedro J.
1
2021
Rate-induced tipping and saddle-node bifurcation for quadratic differential equations with nonautonomous asymptotic dynamics. Zbl 1468.34053
Longo, Iacopo P.; Núñez, Carmen; Obaya, Rafael; Rasmussen, Martin
1
2021
Nonlinear consensus on networks: equilibria, effective resistance, and trees of motifs. Zbl 1478.05142
Homs-Dones, Marc; Devriendt, Karel; Lambiotte, Renaud
1
2021
Optimal control of oscillation timing and entrainment using large magnitude inputs: an adaptive phase-amplitude-coordinate-based approach. Zbl 1475.92021
Wilson, Dan
1
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Data assimilation for the Navier-Stokes equations using local observables. Zbl 1480.35309
Biswas, Animikh; Bradshaw, Zachary; Jolly, Michael S.
1
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A stiction oscillator under slowly varying forcing: uncovering small scale phenomena using blowup. Zbl 07444702
Kristiansen, Kristian U.
1
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Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
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From the Lohe tensor model to the Lohe Hermitian sphere model and emergent dynamics. Zbl 1441.82011
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8
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Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability. Zbl 1442.37090
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8
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Data assimilation in large Prandtl Rayleigh-Bénard convection from thermal measurements. Zbl 1434.76041
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7
2020
Intralayer synchronization in evolving multiplex hypernetworks: analytical approach. Zbl 1441.37093
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7
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Mathematical modeling for schistosomiasis with seasonal influence: a case study in Hubei, China. Zbl 1445.37074
Zhang, Tailei; Zhao, Xiao-Qiang
6
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Robust feedback control of nonlinear PDEs by numerical approximation of high-dimensional Hamilton-Jacobi-Isaacs equations. Zbl 1443.49041
Kalise, Dante; Kundu, Sudeep; Kunisch, Karl
6
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Permanence of weakly reversible mass-action systems with a single linkage class. Zbl 1443.92110
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6
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Affine invariant interacting Langevin dynamics for Bayesian inference. Zbl 1472.65118
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6
2020
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
5
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Time-delay observables for Koopman: theory and applications. Zbl 1441.37090
Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan
5
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LOR for analysis of periodic dynamics: a one-stop shop approach. Zbl 1461.34065
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4
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Computational singular perturbation method for nonstandard slow-fast systems. Zbl 1457.37102
Lizarraga, Ian; Wechselberger, Martin
4
2020
Data-driven model predictive control using interpolated Koopman generators. Zbl 1461.49007
Peitz, Sebastian; Otto, Samuel E.; Rowley, Clarence W.
4
2020
Barriers to the transport of diffusive scalars in compressible flows. Zbl 1448.76146
Haller, George; Karrasch, Daniel; Kogelbauer, Florian
3
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Data based reconstruction of duplex networks. Zbl 1437.37123
Ma, Chuang; Chen, Han-Shuang; Li, Xiang; Lai, Ying-Cheng; Zhang, Hai-Feng
3
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Finding extremal periodic orbits with polynomial optimization, with application to a nine-mode model of shear flow. Zbl 1475.37094
Lakshmi, Mayur V.; Fantuzzi, Giovanni; Fernández-Caballero, Jesús D.; Hwang, Yongyun; Chernyshenko, Sergei I.
3
2020
Bifurcations on fully inhomogeneous networks. Zbl 1443.34039
Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang
3
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On the Koopman operator of algorithms. Zbl 1437.47048
Dietrich, Felix; Thiem, Thomas N.; Kevrekidis, Ioannis G.
3
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Endotactic networks and toric differential inclusions. Zbl 1461.37077
Craciun, Gheorghe; Deshpande, Abhishek
3
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Centering data improves the dynamic mode decomposition. Zbl 1465.37092
Hirsh, Seth M.; Harris, Kameron Decker; Kutz, J. Nathan; Brunton, Bingni W.
3
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Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations. Zbl 1443.35072
Alfaro, Matthieu; Ducrot, Arnaud; Faye, Grégory
2
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Alternative reduction by stages of Keplerian systems. Positive, negative, and zero energy. Zbl 1473.70027
Crespo, Francisco; Ferrer, Sebastián
2
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Clusters tend to be of equal size in a negative feedback population model of cell cycle dynamics. Zbl 1447.37083
Rombouts, Jan; Prathom, Kiattisak; Young, Todd R.
2
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Pulse solutions for an extended Klausmeier model with spatially varying coefficients. Zbl 1431.35071
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Neurologically motivated coupling functions in models of motor coordination. Zbl 1446.34092
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2
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Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations. Zbl 07175469
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Emergent behaviors of the Kuramoto model with a time delay on a general digraph. Zbl 07175470
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
2
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Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
2
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Lotka-Volterra competition model on graphs. Zbl 1437.92103
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2
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Invariant synchrony subspaces of sets of matrices. Zbl 1442.15045
Neuberger, John M.; Sieben, Nándor; Swift, James W.
2
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Hubs-attracting Laplacian and related synchronization on networks. Zbl 1439.05210
Gambuzza, Lucia Valentina; Frasca, Mattia; Estrada, Ernesto
2
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Kimrey, Joshua; Vo, Theodore; Bertram, Richard
2
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Probabilistic foundations of spatial mean-field models in ecology and applications. Zbl 1466.60050
Patterson, Denis D.; Levin, Simon A.; Staver, Carla; Touboul, Jonathan D.
2
2020
Tipping phenomena and points of no return in ecosystems: beyond classical bifurcations. Zbl 1467.37091
O’Keeffe, Paul E.; Wieczorek, Sebastian
2
2020
Rate-induced tipping in discrete-time dynamical systems. Zbl 1445.37016
Kiers, Claire
1
2020
Emergence of bicluster aggregation for the swarm sphere model with attractive-repulsive couplings. Zbl 1447.82022
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun
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On the stability of symmetric periodic orbits of the elliptic Sitnikov problem. Zbl 1476.70015
Cen, Xiuli; Cheng, Xuhua; Huang, Zaitang; Zhang, Meirong
1
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Understanding mass transfer directions via data-driven models with application to mobile phone data. Zbl 1448.76028
Alla, Alessandro; Balzotti, Caterina; Briani, Maya; Cristiani, Emiliano
1
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Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis. Zbl 1445.37063
Contreras-Julio, Dana; Aguirre, Pablo; Mujica, José; Vasilieva, Olga
1
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Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a twofold cycle. Zbl 1459.34059
Novaes, Douglas D.; Seara, Tere M.; Teixeira, Marco A.; Zeli, Iris O.
1
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Phase reduction of stochastic biochemical oscillators. Zbl 1433.92015
Bressloff, Paul C.; MacLaurin, James N.
1
2020
Synchronization in discrete-time, discrete-state random dynamical systems. Zbl 1433.37055
Huang, Wen; Qian, Hong; Wang, Shirou; Ye, Felix X.-F.; Yi, Yingfei
1
2020
Computing invariant sets of random differential equations using polynomial chaos. Zbl 1441.37057
Breden, Maxime; Kuehn, Christian
1
2020
Invariant sets in quasiperiodically forced dynamical systems. Zbl 1442.37012
Susuki, Yoshihiko; Mezić, Igor
1
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Elliptic bubbles in Moser’s 4D quadratic map: the quadfurcation. Zbl 1444.37046
Bäcker, Arnd; Meiss, James D.
1
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Ribosome flow model with different site sizes. Zbl 1441.92020
Bar-Shalom, Eyal; Ovseevich, Alexander; Margaliot, Michael
1
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State-dependent dynamics of the Lohe matrix ensemble on the unitary group under the gradient flow. Zbl 1443.34035
Kim, Dohyun
1
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Stability in a Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve. Zbl 1454.34083
Zhao, Xiaoxue; Li, Zhuchun; Xue, Xiaoping
1
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Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration. Zbl 1468.37058
Froyland, Gary; Koltai, Péter; Stahn, Martin
1
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Global time-renormalization of the gravitational \(N\)-body problem. Zbl 1476.70033
Antoñana, Mikel; Chartier, Philippe; Makazaga, Joseba; Murua, Ander
1
2020
Koopman analysis of isolated fronts and solitons. Zbl 1465.37097
Parker, Jeremy P.; Page, Jacob
1
2020
Bounding extreme events in nonlinear dynamics using convex optimization. Zbl 1461.93202
Fantuzzi, Giovanni; Goluskin, David
1
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Effects of large permanent charges on ionic flows via Poisson-Nernst-Planck models. Zbl 1464.78003
Zhang, Liwei; Liu, Weishi
1
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Weakly nonlinear analysis of peanut-shaped deformations for localized spots of singularly perturbed reaction-diffusion systems. Zbl 1472.35026
Wong, Tony; Ward, Michael J.
1
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On the pitchfork bifurcation of the folded node and other unbounded time-reversible connection problems in \(\mathbb{R}^3\). Zbl 1470.37074
Kristiansen, Kristian U.
1
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Stoker’s problem for quasi-periodically forced reversible systems with multidimensional Liouvillean frequency. Zbl 1470.70026
Xu, Xiaodan; Si, Wen; Si, Jianguo
1
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On the number of limit cycles in generalized Abel equations. Zbl 1472.34065
Huang, Jianfeng; Torregrosa, Joan; Villadelprat, Jordi
1
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Extended and symmetric loss of stability for canards in planar fast-slow maps. Zbl 1478.37054
Engel, Maximilian; Jardón-Kojakhmetov, Hildeberto
1
2020
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
23
2019
Linearly recurrent autoencoder networks for learning dynamics. Zbl 07068540
Otto, Samuel E.; Rowley, Clarence W.
22
2019
A collisionless singular Cucker-Smale model with decentralized formation control. Zbl 1432.34063
Choi, Young-Pil; Kalise, Dante; Peszek, Jan; Peters, Andrés A.
16
2019
Bifurcation analysis of a Mosquito population model with a saturated release rate of sterile mosquitoes. Zbl 1428.34066
Huang, Jicai; Ruan, Shigui; Yu, Pei; Zhang, Yuyue
12
2019
A second-order particle swarm model on a sphere and emergent dynamics. Zbl 1412.34157
Ha, Seung-Yeal; Kim, Dohyun
11
2019
Online dynamic mode decomposition for time-varying systems. Zbl 07122844
Zhang, Hao; Rowley, Clarence W.; Deem, Eric A.; Cattafesta, Louis N.
11
2019
The linear stability of symmetric spike patterns for a bulk-membrane coupled Gierer-Meinhardt model. Zbl 1419.35107
Gomez, Daniel; Ward, Michael J.; Wei, Juncheng
9
2019
Randomized dynamic mode decomposition. Zbl 1427.65410
Erichson, N. Benjamin; Mathelin, Lionel; Kutz, J. Nathan; Brunton, Steven L.
8
2019
Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. Zbl 1428.35276
Celik, Emine; Olson, Eric; Titi, Edriss S.
8
2019
Stability of traveling waves for reaction-diffusion equations with multiplicative noise. Zbl 1414.35117
Hamster, C. H. S.; Hupkes, H. J.
8
2019
Discovery of nonlinear multiscale systems: sampling strategies and embeddings. Zbl 1474.65476
Champion, Kathleen P.; Brunton, Steven L.; Kutz, J. Nathan
8
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Pattern formation and synchronism in an allelopathic plankton model with delay in a network. Zbl 1416.34071
Tian, Canrong; Ruan, Shigui
7
2019
Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401
Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H.
7
2019
Nonlinear dynamics in queueing theory: determining the size of oscillations in queues with delay. Zbl 1417.34202
Novitzky, Sophia; Pender, Jamol; Rand, Richard H.; Wesson, Elizabeth
7
2019
The Kuramoto model on oriented and signed graphs. Zbl 1420.34083
Delabays, Robin; Jacquod, Philippe; Dörfler, Florian
7
2019
Persistent homology of Morse decompositions in combinatorial dynamics. Zbl 1415.37058
Dey, Tamal K.; Juda, Mateusz; Kapela, Tomasz; Kubica, Jacek; Lipiński, Michał; Mrozek, Marian
6
2019
Number and stability of relaxation oscillations for predator-prey systems with small death rates. Zbl 1411.34064
Hsu, Ting-Hao
6
2019
Pattern formation and oscillatory dynamics in a two-dimensional coupled bulk-surface reaction-diffusion system. Zbl 1428.37071
Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J.
6
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82 Ha, Seung-Yeal
46 Llibre, Jaume
42 Ward, Michael J.
41 Lessard, Jean-Philippe
39 Krauskopf, Bernd
36 Osinga, Hinke Maria
35 Mireles-James, Jason D.
33 Kühn, Christian
33 Kutz, J. Nathan
32 Bressloff, Paul C.
32 Wechselberger, Martin
30 Kevrekidis, Ioannis George
30 Sandstede, Björn
29 Brunton, Steven L.
29 Stewart, Ian Nicholas
27 Rubin, Jonathan E.
27 Scheel, Arnd
25 de la Llave, Rafael
24 Carrillo de la Plata, José Antonio
23 Coombes, Stephen
23 Desroches, Mathieu
23 Shen, Wenxian
23 Zhao, Xiao-Qiang
22 Kevrekidis, Panayotis G.
22 Mezić, Igor
22 Pelinovsky, Dmitry Efimovich
22 Wei, Juncheng
21 Laing, Carlo R.
21 Mischaikow, Konstantin
21 Park, Hansol
21 Teixeira, Marco Antonio
20 Hupkes, Hermen Jan
20 Kim, Dohyun
20 Novaes, Douglas Duarte
20 Ponce, Enrique
20 Uldall Kristiansen, K.
20 van den Berg, Jan Bouwe
20 van Heijster, Peter
19 Adimy, Mostafa
19 Ashwin, Peter
19 Knobloch, Edgar
19 Kolokolnikov, Theodore
19 Moehlis, Jeff
19 Wang, Bixiang
19 Zgliczyński, Piotr
18 Balasuriya, Sanjeeva
18 Chen, Guanrong
18 Craciun, Gheorghe
18 Doelman, Arjen
18 Golubitsky, Martin A.
18 Jeffrey, Mike R.
18 Krupa, Martin
18 Porfiri, Maurizio
17 de Carvalho, Tiago
17 Dias, Ana Paula S.
17 Kilpatrick, Zachary P.
17 Lawley, Sean D.
17 Sherratt, Jonathan A.
17 Wilson, Dan D.
16 Blömker, Dirk
16 Bollt, Erik M.
16 Faye, Grégory
16 Fetecau, Razvan C.
15 Aguiar, Manuela A. D.
15 Cao, Jinde
15 Park, Jinyeong
15 Rademacher, Jens Diederich Michael
15 Wyller, John A.
14 Belykh, Igor V.
14 Duan, Jinqiao
14 Gardini, Laura
14 Li, Zhuchun
14 Mrozek, Marian
14 Shi, Junping
14 Simpson, David John Warwick
14 Wanner, Thomas
14 Xu, Jian
13 Crauste, Fabien
13 Feliu, Elisenda
13 Kaper, Tasso J.
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13 M-Seara, Tere
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12 Giannakis, Dimitrios
12 Lăzureanu, Cristian
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12 Tang, Sanyi
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Cited in 460 Journals

391 SIAM Journal on Applied Dynamical Systems
328 Physica D
306 Chaos
275 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
253 Journal of Differential Equations
154 Journal of Nonlinear Science
150 Discrete and Continuous Dynamical Systems. Series B
128 Communications in Nonlinear Science and Numerical Simulation
117 Nonlinear Dynamics
116 Journal of Mathematical Analysis and Applications
107 Journal of Mathematical Biology
104 Nonlinearity
101 Journal of Dynamics and Differential Equations
97 Bulletin of Mathematical Biology
90 Journal of Fluid Mechanics
89 Applied Mathematics and Computation
82 Nonlinear Analysis. Real World Applications
78 SIAM Journal on Applied Mathematics
77 Discrete and Continuous Dynamical Systems
75 Chaos, Solitons and Fractals
73 Journal of Computational Physics
70 Automatica
68 Journal of Theoretical Biology
56 The Journal of Mathematical Neuroscience
55 SIAM Journal on Mathematical Analysis
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50 Journal of Statistical Physics
48 Journal of Mathematical Physics
48 Mathematical Biosciences
48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
45 Qualitative Theory of Dynamical Systems
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44 Journal of Computational Neuroscience
43 Applied Mathematics Letters
41 Regular and Chaotic Dynamics
40 Biological Cybernetics
36 Celestial Mechanics and Dynamical Astronomy
33 SIAM Journal on Scientific Computing
32 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
31 European Journal of Applied Mathematics
31 Journal of Computational Dynamics
30 Neural Computation
30 Dynamical Systems
29 Archive for Rational Mechanics and Analysis
29 Journal of the Franklin Institute
29 Mathematical Modelling of Natural Phenomena
29 Discrete and Continuous Dynamical Systems. Series S
28 Computer Methods in Applied Mechanics and Engineering
27 Abstract and Applied Analysis
26 Computers & Mathematics with Applications
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26 Communications on Pure and Applied Analysis
25 Applicable Analysis
25 ZAMP. Zeitschrift für angewandte Mathematik und Physik
25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
24 Communications in Mathematical Physics
24 Acta Applicandae Mathematicae
23 Journal of Difference Equations and Applications
23 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
22 Mathematical Problems in Engineering
21 SIAM Journal on Control and Optimization
21 SIAM Review
21 Advances in Difference Equations
20 Proceedings of the American Mathematical Society
20 Journal of Biological Dynamics
19 Mathematics and Computers in Simulation
19 Quarterly of Applied Mathematics
19 Nonlinear Analysis. Hybrid Systems
18 Systems & Control Letters
17 Physica A
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17 Studies in Applied Mathematics
17 Networks and Heterogeneous Media
16 Transactions of the American Mathematical Society
16 Journal of Scientific Computing
16 Complexity
16 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
16 Multiscale Modeling & Simulation
15 Mathematical Methods in the Applied Sciences
15 Numerische Mathematik
14 Japan Journal of Industrial and Applied Mathematics
14 Advances in Computational Mathematics
14 Journal of Mathematical Chemistry
14 Discrete Dynamics in Nature and Society
14 International Journal of Biomathematics
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13 SIAM Journal on Numerical Analysis
13 Neural Networks
13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
13 Kinetic and Related Models
13 SIAM/ASA Journal on Uncertainty Quantification
12 Ergodic Theory and Dynamical Systems
12 Applied Numerical Mathematics
12 Journal of Mathematical Sciences (New York)
12 Foundations of Computational Mathematics
11 Advances in Mathematical Physics
11 Journal of Applied Analysis and Computation
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1,961 Ordinary differential equations (34-XX)
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