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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: 1,189 Publications (since 2002)
References Indexed: 638 Publications with 27,117 References.
all top 5

Authors

24 Krauskopf, Bernd
18 Osinga, Hinke Maria
14 Rubin, Jonathan E.
14 Uldall Kristiansen, K.
14 Ward, Michael J.
13 Bressloff, Paul C.
13 Champneys, Alan R.
13 Guckenheimer, John M.
13 Kutz, J. Nathan
12 Golubitsky, Martin A.
12 Ha, Seung-Yeal
12 Meiss, James D.
11 Mischaikow, Konstantin
11 Wechselberger, Martin
10 Rademacher, Jens Diederich Michael
10 Sandstede, Björn
9 de la Llave, Rafael
9 Doelman, Arjen
9 Hogan, S. John
9 Mireles-James, Jason D.
8 Bollt, Erik M.
8 Brunton, Steven L.
8 Ermentrout, Bard G.
8 Kirk, Vivien
8 Kolokolnikov, Theodore
8 Lessard, Jean-Philippe
8 Mezić, Igor
8 Moehlis, Jeff
8 Porter, Mason Alexander
7 Desroches, Mathieu
7 Gedeon, Tomáš
7 Holmes, Philip J.
7 Kevrekidis, Ioannis George
7 Kevrekidis, Panayotis G.
7 Kilpatrick, Zachary P.
7 Knobloch, Edgar
7 Pelinovsky, Dmitry Efimovich
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 Kopell, Nancy J.
6 Kühn, Christian
6 Palacián, Jesús F.
6 Rucklidge, Alastair M.
6 Scheel, Arnd
6 Stewart, Ian Nicholas
6 van den Berg, Jan Bouwe
6 Wilczak, Daniel
6 Yanchuk, Sergiĭ Volodymyrovych
6 Yanguas, Patricia
6 Yorke, James Alan
5 Avitabile, Daniele
5 Colombo, Alessandro G.
5 Cummins, Bree
5 Fetecau, Razvan C.
5 Folias, Stefanos E.
5 Froyland, Gary
5 Gottwald, Georg A.
5 Kuznetsov, Yuri Alexandrovich
5 Lewis, Mark Alun
5 Lewis, Timothy J.
5 Lloyd, David J. B.
5 Mrozek, Marian
5 Rom-Kedar, Vered
5 Rotstein, Horacio G.
5 Rowley, Clarence W.
5 Sieber, Jan
5 Teixeira, Marco Antonio
5 Wanner, Thomas
5 Wayne, Clarence Eugene
5 Wulff, Claudia
4 Atay, Fatihcan M.
4 Balasuriya, Sanjeeva
4 Beck, Margaret
4 Bertram, Richard
4 Booth, Victoria
4 Bose, Amitabha
4 Buono, Pietro-Luciano
4 Capinski, Maciej J.
4 Chow, Carson C.
4 Cors, Josep Maria
4 Dankowicz, Harry J.
4 Dawes, Jonathan H. P.
4 Day, Sarah L.
4 di Bernardo, Mario
4 Dias, Ana Paula S.
4 Diniz Behn, Cecilia G.
4 Faye, Grégory
4 Giesl, Peter
4 Hüls, Thorsten
4 Hupkes, Hermen Jan
4 Jeffrey, Mike R.
4 Keener, James P.
4 Kim, Dohyun
4 Laing, Carlo R.
4 Li, Zhuchun
...and 1,784 more Authors
all top 5

Fields

686 Dynamical systems and ergodic theory (37-XX)
506 Ordinary differential equations (34-XX)
351 Biology and other natural sciences (92-XX)
280 Partial differential equations (35-XX)
174 Numerical analysis (65-XX)
157 Mechanics of particles and systems (70-XX)
73 Systems theory; control (93-XX)
70 Fluid mechanics (76-XX)
67 Probability theory and stochastic processes (60-XX)
41 Statistical mechanics, structure of matter (82-XX)
33 Mechanics of deformable solids (74-XX)
32 Optics, electromagnetic theory (78-XX)
30 Computer science (68-XX)
29 Combinatorics (05-XX)
25 Operations research, mathematical programming (90-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
24 Difference and functional equations (39-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
22 Integral equations (45-XX)
21 Statistics (62-XX)
20 Operator theory (47-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
18 Classical thermodynamics, heat transfer (80-XX)
12 Geophysics (86-XX)
12 Information and communication theory, circuits (94-XX)
9 Quantum theory (81-XX)
8 General topology (54-XX)
7 Convex and discrete geometry (52-XX)
7 Differential geometry (53-XX)
6 Group theory and generalizations (20-XX)
6 Approximations and expansions (41-XX)
6 Algebraic topology (55-XX)
6 Manifolds and cell complexes (57-XX)
6 Global analysis, analysis on manifolds (58-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Measure and integration (28-XX)
3 Algebraic geometry (14-XX)
3 Functional analysis (46-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Mathematical logic and foundations (03-XX)
1 Topological groups, Lie groups (22-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

976 Publications have been cited 10,344 times in 6,579 Documents Cited by Year
Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120
Wang, Wendi; Zhao, Xiao-Qiang
211
2012
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
130
2003
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
117
2003
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
114
2005
On the critical coupling for Kuramoto oscillators. Zbl 1242.34096
Dörfler, Florian; Bullo, Francesco
112
2011
Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020
Freire, Emilio; Ponce, Enrique; Torres, Francisco
105
2012
Global synchronization of linearly hybrid coupled networks with time-varying delay. Zbl 1161.94011
Yu, Wenwu; Cao, Jinde; Lü, Jinhu
101
2008
Existence and bifurcation of canards in \(\mathbb R^3\) in the case of a folded node. Zbl 1090.34047
Wechselberger, Martin
95
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
68
2016
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
61
2003
Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008
Coombes, S.
60
2008
Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation. Zbl 1382.35035
Song, Yongli; Jiang, Heping; Liu, Quan-Xing; Yuan, Yuan
60
2017
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.
56
2004
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
56
2011
Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330
Verwoerd, Mark; Mason, Oliver
52
2008
Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019
Coombes, S.; Owen, M. R.
51
2004
Singular Hopf bifurcation in systems with two slow variables. Zbl 1168.37025
Guckenheimer, John
51
2008
Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
50
2005
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
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
49
2010
On the implementation of the 0-1 test for chaos. Zbl 1161.37054
Gottwald, Georg A.; Melbourne, Ian
49
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
49
2009
Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096
Arbabi, Hassan; Mezić, Igor
49
2017
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
48
2008
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
47
2004
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
47
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.
46
2007
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
45
2004
Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109
Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G.
45
2016
A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030
Guillamon, Antoni; Huguet, Gemma
43
2009
The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504
Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren
42
2003
A geometric approach to the global attractor conjecture. Zbl 1301.34063
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne
42
2014
Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044
Colombo, Alessandro; Jeffrey, Mike R.
40
2011
\(R_0\) analysis of a spatiotemporal model for a stream population. Zbl 1252.35068
Mckenzie, H. W.; Jin, Y.; Jacobsen, J.; Lewis, M. A.
40
2012
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
39
2004
Chaos in the Hodgkin–Huxley model. Zbl 1002.92005
Guckenheimer, John; Oliva, Ricardo A.
39
2002
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.
39
2016
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
39
2016
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
39
2009
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
38
2015
On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph. Zbl 1167.34331
Verwoerd, Mark; Mason, Oliver
38
2009
Freezing solutions of equivariant evolution equations. Zbl 1061.65078
Beyn, W.-J.; Thümmler, V.
37
2004
The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. Zbl 1223.35033
Chen, W.; Ward, M. J.
37
2011
The two-fold singularity of discontinuous vector fields. Zbl 1178.34042
Jeffrey, M. R.; Colombo, A.
37
2009
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
36
2003
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
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
34
2010
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
34
2016
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
34
2009
Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060
Choi, Sun-Ho; Ha, Seung-Yeal
34
2014
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
34
2012
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.
33
2015
Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012
Wiuf, Carsten; Feliu, Elisenda
33
2013
Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018
Jeffrey, Mike R.
33
2014
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
33
2014
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
Existence and stability of standing pulses in neural networks. I: Existence. Zbl 1109.34002
Guo, Yixin; Chow, Carson C.
32
2005
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
Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361
Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi
31
2008
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
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
31
2013
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
30
2005
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
30
2002
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086
Guardia, Marcel; Hogan, S. John; Seara, Tere M.
30
2010
Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423
Huang, Jianhua; Shen, Wenxian
30
2009
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
30
2007
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
30
2007
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.
29
2004
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
29
2003
Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015
Veltz, Romain; Faugeras, Olivier
29
2010
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
Computing slow manifolds of saddle type. Zbl 1176.37026
Guckenheimer, John; Kuehn, Christian
29
2009
Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118
Atay, Fatihcan M.; Hutt, Axel
29
2006
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
29
2013
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.
29
2015
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
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.
28
2015
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
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
28
2007
Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060
Guckenheimer, John; Kuehn, Christian
28
2010
Higher order dynamic mode decomposition. Zbl 1373.37169
Le Clainche, Soledad; Vega, José M.
28
2017
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
28
2005
Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. Zbl 1145.74370
Goodman, Roy H.; Haberman, Richard
28
2005
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
28
2020
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
TC-HAT (\(\widehat{TC}\)): a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems. Zbl 1192.34004
Thota, Phanikrishna; Dankowicz, Harry
27
2008
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
26
2019
The Melnikov method and subharmonic orbits in a piecewise-smooth system. Zbl 1262.37028
Granados, A.; Hogan, S. J.; Seara, T. M.
26
2012
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
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
26
2013
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
26
2014
The structure of MESSI biological systems. Zbl 1395.92071
Pérez Millán, Mercedes; Dickenstein, Alicia
25
2018
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
25
2003
Continuation-based computation of global isochrons. Zbl 1232.37014
Osinga, Hinke M.; Moehlis, Jeff
25
2010
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster. Zbl 1263.37036
Linaro, Daniele; Champneys, Alan; Desroches, Mathieu; Storace, Marco
25
2012
Linearly recurrent autoencoder networks for learning dynamics. Zbl 1489.65164
Otto, Samuel E.; Rowley, Clarence W.
24
2019
On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain. Zbl 1267.35027
Cvitanović, Predrag; Davidchack, Ruslan L.; Siminos, Evangelos
24
2010
On a competition-diffusion-advection system from river ecology: mathematical analysis and numerical study. Zbl 1484.35034
Yan, Xiao; Nie, Hua; Zhou, Peng
4
2022
Derivative-free Bayesian inversion using multiscale dynamics. Zbl 07484035
Pavliotis, G. A.; Stuart, A. M.; Vaes, U.
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 1490.34103
Varzaneh, M. Ghani; Riedel, S.; Scheutzow, M.
2
2022
A bounded-confidence model of opinion dynamics on hypergraphs. Zbl 1482.91163
Hickok, Abigail; Kureh, Yacoub; Brooks, Heather Z.; Feng, Michelle; Porter, Mason A.
1
2022
Graphop mean-field limits for Kuramoto-type models. Zbl 1483.35270
Gkogkas, Marios Antonios; Kuehn, Christian
1
2022
Emergent behaviors of rotation matrix flocks. Zbl 07537151
Fetecau, Razvan C.; Ha, Seung-Yeal; Park, Hansol
1
2022
Symbolic proof of bistability in reaction networks. Zbl 1465.37105
Torres, Angélica; Feliu, Elisenda
5
2021
A simple proof of asymptotic consensus in the Hegselmann-Krause and Cucker-Smale models with normalization and delay. Zbl 1466.34073
Haskovec, Jan
5
2021
Rigorous verification of Hopf bifurcations via desingularization and continuation. Zbl 1476.37094
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena
4
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
Multistability of small reaction networks. Zbl 1469.92051
Tang, Xiaoxian; Xu, Hao
3
2021
High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga
3
2021
Data assimilation for the Navier-Stokes equations using local observables. Zbl 1480.35309
Biswas, Animikh; Bradshaw, Zachary; Jolly, Michael S.
3
2021
Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow. Zbl 1461.76172
Han, Daozhi; Hernandez, Marco; Wang, Quan
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
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
Equilibria and their stability in networks with steep sigmoidal nonlinearities. Zbl 1483.37107
Duncan, William; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
2
2021
Nanoptera in weakly nonlinear woodpile chains and diatomic granular chains. Zbl 1484.34061
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
Periodic solutions in threshold-linear networks and their entrainment. Zbl 1481.37106
Bel, Andrea; Cobiaga, Romina; Reartes, Walter; Rotstein, Horacio G.
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
Global dynamics of a Lotka-Volterra competition-diffusion system in advective heterogeneous environments. Zbl 1476.35053
Tang, De; Chen, Yuming
1
2021
On differential equations with codimension-\(n\) discontinuity sets. Zbl 1484.34065
Varkonyi, Peter L.; Antali, Mate
1
2021
High-order accuracy computation of coupling functions for strongly coupled oscillators. Zbl 1472.92051
Park, Youngmin; Wilson, Dan D.
1
2021
Regularization of isolated codimension-2 discontinuity sets. Zbl 07462005
Cheesman, Noah; Kristiansen, Kristian Uldall; Hogan, S. J.
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
Abundance of strange attractors near an attracting periodically perturbed network. Zbl 1476.37059
Rodrigues, Alexandre A. P.
1
2021
Type III responses to transient inputs in hybrid nonlinear neuron models. Zbl 1476.37107
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.
1
2021
Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane. Zbl 1487.37094
Gimeno, Joan; Yang, Jiaqi; de la Llave, Rafael
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
A mathematical model of anaerobic digestion with syntrophic relationship, substrate inhibition, and distinct removal rates. Zbl 1483.34064
Fekih-Salem, Radhouane; Daoud, Yessmine; Abdellatif, Nahla; Sari, Tewfik
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
2021
A stiction oscillator under slowly varying forcing: uncovering small scale phenomena using blowup. Zbl 07444702
Kristiansen, Kristian U.
1
2021
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
28
2020
Data assimilation in large Prandtl Rayleigh-Bénard convection from thermal measurements. Zbl 1434.76041
Farhat, A.; Glatt-Holtz, N. E.; Martinez, V. R.; McQuarrie, S. A.; Whitehead, J. P.
11
2020
Affine invariant interacting Langevin dynamics for Bayesian inference. Zbl 1472.65118
Garbuno-Inigo, Alfredo; Nüsken, Nikolas; Reich, Sebastian
10
2020
Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability. Zbl 1442.37090
Pan, Shaowu; Duraisamy, Karthik
10
2020
From the Lohe tensor model to the Lohe Hermitian sphere model and emergent dynamics. Zbl 1441.82011
Ha, Seung-Yeal; Park, Hansol
10
2020
Mathematical modeling for schistosomiasis with seasonal influence: a case study in Hubei, China. Zbl 1445.37074
Zhang, Tailei; Zhao, Xiao-Qiang
9
2020
Intralayer synchronization in evolving multiplex hypernetworks: analytical approach. Zbl 1441.37093
Rakshit, Sarbendu; Bera, Bidesh K.; Bollt, Erik M.; Ghosh, Dibakar
7
2020
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
6
2020
Permanence of weakly reversible mass-action systems with a single linkage class. Zbl 1443.92110
Boros, Balázs; Hofbauer, Josef
6
2020
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
2020
Time-delay observables for Koopman: theory and applications. Zbl 1441.37090
Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan
5
2020
LOR for analysis of periodic dynamics: a one-stop shop approach. Zbl 1461.34065
Letson, Benjamin; Rubin, Jonathan E.
4
2020
Emergent behaviors of the Kuramoto model with a time delay on a general digraph. Zbl 1484.34160
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
4
2020
Data-driven model predictive control using interpolated Koopman generators. Zbl 1461.49007
Peitz, Sebastian; Otto, Samuel E.; Rowley, Clarence W.
4
2020
Tipping phenomena and points of no return in ecosystems: beyond classical bifurcations. Zbl 1467.37091
O’Keeffe, Paul E.; Wieczorek, Sebastian
4
2020
Big ducks in the heart: canard analysis can explain large early afterdepolarizations in cardiomyocytes. Zbl 1460.92052
Kimrey, Joshua; Vo, Theodore; Bertram, Richard
4
2020
Bifurcations on fully inhomogeneous networks. Zbl 1443.34039
Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang
4
2020
Computational singular perturbation method for nonstandard slow-fast systems. Zbl 1457.37102
Lizarraga, Ian; Wechselberger, Martin
4
2020
Barriers to the transport of diffusive scalars in compressible flows. Zbl 1448.76146
Haller, George; Karrasch, Daniel; Kogelbauer, Florian
3
2020
Data based reconstruction of duplex networks. Zbl 1437.37123
Ma, Chuang; Chen, Han-Shuang; Li, Xiang; Lai, Ying-Cheng; Zhang, Hai-Feng
3
2020
Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
3
2020
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
Centering data improves the dynamic mode decomposition. Zbl 1465.37092
Hirsh, Seth M.; Harris, Kameron Decker; Kutz, J. Nathan; Brunton, Bingni W.
3
2020
Weakly nonlinear analysis of peanut-shaped deformations for localized spots of singularly perturbed reaction-diffusion systems. Zbl 1472.35026
Wong, Tony; Ward, Michael J.
3
2020
Endotactic networks and toric differential inclusions. Zbl 1461.37077
Craciun, Gheorghe; Deshpande, Abhishek
3
2020
On the Koopman operator of algorithms. Zbl 1437.47048
Dietrich, Felix; Thiem, Thomas N.; Kevrekidis, Ioannis G.
3
2020
Pulse solutions for an extended Klausmeier model with spatially varying coefficients. Zbl 1431.35071
Bastiaansen, Robbin; Chirilus-Bruckner, Martina; Doelman, Arjen
2
2020
Neurologically motivated coupling functions in models of motor coordination. Zbl 1446.34092
Słowiński, Piotr; Al-Ramadhani, Sohaib; Tsaneva-Atanasova, Krasimira
2
2020
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations. Zbl 07175469
Bosschaert, Maikel M.; Janssens, Sebastiaan G.; Kuznetsov, Yu. A.
2
2020
Lotka-Volterra competition model on graphs. Zbl 1437.92103
Slavík, Antonín
2
2020
Global time-renormalization of the gravitational \(N\)-body problem. Zbl 1476.70033
Antoñana, Mikel; Chartier, Philippe; Makazaga, Joseba; Murua, Ander
2
2020
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
Effects of large permanent charges on ionic flows via Poisson-Nernst-Planck models. Zbl 1464.78003
Zhang, Liwei; Liu, Weishi
2
2020
Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration. Zbl 1468.37058
Froyland, Gary; Koltai, Péter; Stahn, Martin
2
2020
Invariant synchrony subspaces of sets of matrices. Zbl 1442.15045
Neuberger, John M.; Sieben, Nándor; Swift, James W.
2
2020
Hubs-attracting Laplacian and related synchronization on networks. Zbl 1439.05210
Gambuzza, Lucia Valentina; Frasca, Mattia; Estrada, Ernesto
2
2020
Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations. Zbl 1443.35072
Alfaro, Matthieu; Ducrot, Arnaud; Faye, Grégory
2
2020
Alternative reduction by stages of Keplerian systems. Positive, negative, and zero energy. Zbl 1473.70027
Crespo, Francisco; Ferrer, Sebastián
2
2020
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
2020
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
Koopman analysis of isolated fronts and solitons. Zbl 1465.37097
Parker, Jeremy P.; Page, Jacob
1
2020
Lyapunov coefficients for Hopf bifurcations in systems with piecewise smooth nonlinearity. Zbl 1477.34063
Zazo, Miriam Steinherr; Rademacher, Jens D. M.
1
2020
Bounding extreme events in nonlinear dynamics using convex optimization. Zbl 1461.93202
Fantuzzi, Giovanni; Goluskin, David
1
2020
Sensitivity analysis of limit cycles in an alpha Stirling engine: a bifurcation-theory approach. Zbl 1466.80002
Gromov, Dmitry; Castaños, Fernando
1
2020
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
2020
Stoker’s problem for quasi-periodically forced reversible systems with multidimensional Liouvillean frequency. Zbl 1470.70026
Xu, Xiaodan; Si, Wen; Si, Jianguo
1
2020
On the number of limit cycles in generalized Abel equations. Zbl 1472.34065
Huang, Jianfeng; Torregrosa, Joan; Villadelprat, Jordi
1
2020
Analysis of spot patterns on a coordinate-invariant model for vegetation on a curved terrain. Zbl 1462.35039
Tzou, J. C.; Tzou, L.
1
2020
Extended and symmetric loss of stability for canards in planar fast-slow maps. Zbl 1478.37054
Engel, Maximilian; Jardón-Kojakhmetov, Hildeberto
1
2020
Analysis of spherical shell solutions for the radially symmetric aggregation equation. Zbl 1472.35400
Guardia, Daniel Balagué; Barbaro, Alethea; Carrillo, Jose A.; Volkin, Robert
1
2020
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
2020
Invariant sets in quasiperiodically forced dynamical systems. Zbl 1442.37012
Susuki, Yoshihiko; Mezić, Igor
1
2020
Elliptic bubbles in Moser’s 4D quadratic map: the quadfurcation. Zbl 1444.37046
Bäcker, Arnd; Meiss, James D.
1
2020
Ribosome flow model with different site sizes. Zbl 1441.92020
Bar-Shalom, Eyal; Ovseevich, Alexander; Margaliot, Michael
1
2020
State-dependent dynamics of the Lohe matrix ensemble on the unitary group under the gradient flow. Zbl 1443.34035
Kim, Dohyun
1
2020
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
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
1
2020
On the stability of symmetric periodic orbits of the elliptic Sitnikov problem. Zbl 1476.70015
Cen, Xiuli; Cheng, Xuhua; Huang, Zaitang; Zhang, Meirong
1
2020
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
2020
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
2020
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
26
2019
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Cited by 8,310 Authors

85 Ha, Seung-Yeal
48 Llibre, Jaume
43 Ward, Michael J.
42 Lessard, Jean-Philippe
40 Krauskopf, Bernd
37 Osinga, Hinke Maria
35 Kühn, Christian
35 Mireles-James, Jason D.
33 Kutz, J. Nathan
32 Bressloff, Paul C.
32 Wechselberger, Martin
31 Sandstede, Björn
30 Kevrekidis, Ioannis George
30 Stewart, Ian Nicholas
29 Brunton, Steven L.
28 Rubin, Jonathan E.
27 Scheel, Arnd
26 Carrillo de la Plata, José Antonio
26 de la Llave, Rafael
25 Teixeira, Marco Antonio
24 Park, Hansol
24 Zhao, Xiao-Qiang
23 Coombes, Stephen
23 Desroches, Mathieu
23 Kevrekidis, Panayotis G.
23 Mezić, Igor
23 Mischaikow, Konstantin
23 Pelinovsky, Dmitry Efimovich
23 Shen, Wenxian
23 Wei, Juncheng
21 Kim, Dohyun
21 Laing, Carlo R.
21 Novaes, Douglas Duarte
21 Uldall Kristiansen, K.
21 Wang, Bixiang
20 Craciun, Gheorghe
20 Hupkes, Hermen Jan
20 Ponce, Enrique
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 Zgliczyński, Piotr
18 Balasuriya, Sanjeeva
18 Chen, Guanrong
18 Dias, Ana Paula S.
18 Doelman, Arjen
18 Golubitsky, Martin A.
18 Jeffrey, Mike R.
18 Krupa, Martin
18 Porfiri, Maurizio
17 de Carvalho, Tiago
17 Fetecau, Razvan C.
17 Kilpatrick, Zachary P.
17 Lawley, Sean D.
17 Sherratt, Jonathan A.
17 Simpson, David John Warwick
17 Wilson, Dan D.
16 Aguiar, Manuela A. D.
16 Blömker, Dirk
16 Bollt, Erik M.
16 Faye, Grégory
15 Cai, Yongli
15 Cao, Jinde
15 Duan, Jinqiao
15 Park, Jinyeong
15 Rademacher, Jens Diederich Michael
15 Shi, Junping
15 Wang, Weiming
15 Wanner, Thomas
15 Wyller, John A.
15 Xu, Jian
14 Belykh, Igor V.
14 Feliu, Elisenda
14 Froyland, Gary
14 Gardini, Laura
14 Gedeon, Tomáš
14 Li, Zhuchun
14 Mrozek, Marian
14 M-Seara, Tere
14 Zhang, Mingji
13 Crauste, Fabien
13 Ghosh, Dibakar
13 Kaper, Tasso J.
13 Palacián, Jesús F.
13 Tonon, Durval José
13 Yang, Xiaosong
13 Yanguas, Patricia
12 Anderson, David Frederick
12 Bi, Qinsheng
12 Bramburger, Jason J.
12 Gameiro, Marcio F.
12 Gao, Hongjun
12 Giannakis, Dimitrios
12 Huang, Lihong
12 Lăzureanu, Cristian
12 Liu, Weishi
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Cited in 477 Journals

416 SIAM Journal on Applied Dynamical Systems
338 Physica D
306 Chaos
284 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
261 Journal of Differential Equations
164 Discrete and Continuous Dynamical Systems. Series B
161 Journal of Nonlinear Science
135 Communications in Nonlinear Science and Numerical Simulation
120 Journal of Mathematical Analysis and Applications
117 Nonlinear Dynamics
108 Journal of Mathematical Biology
105 Journal of Dynamics and Differential Equations
104 Nonlinearity
104 Bulletin of Mathematical Biology
94 Chaos, Solitons and Fractals
93 Journal of Fluid Mechanics
93 Applied Mathematics and Computation
89 Nonlinear Analysis. Real World Applications
81 SIAM Journal on Applied Mathematics
81 Discrete and Continuous Dynamical Systems
78 Journal of Computational Physics
74 Automatica
71 Journal of Theoretical Biology
60 Mathematical Biosciences and Engineering
57 SIAM Journal on Mathematical Analysis
56 The Journal of Mathematical Neuroscience
52 Journal of Computational and Applied Mathematics
50 Journal of Statistical Physics
49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
49 Qualitative Theory of Dynamical Systems
48 Journal of Mathematical Physics
48 Mathematical Biosciences
47 Journal of Computational Neuroscience
46 Applied Mathematics Letters
44 Physica A
43 Biological Cybernetics
41 Regular and Chaotic Dynamics
38 Celestial Mechanics and Dynamical Astronomy
37 Discrete and Continuous Dynamical Systems. Series S
35 Journal of Computational Dynamics
34 SIAM Journal on Scientific Computing
32 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
31 Computer Methods in Applied Mechanics and Engineering
31 European Journal of Applied Mathematics
31 Dynamical Systems
30 Journal of the Franklin Institute
30 Neural Computation
29 Archive for Rational Mechanics and Analysis
29 ZAMP. Zeitschrift für angewandte Mathematik und Physik
29 Mathematical Modelling of Natural Phenomena
28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
27 Computers & Mathematics with Applications
27 Abstract and Applied Analysis
27 Communications on Pure and Applied Analysis
26 Applicable Analysis
26 Applied Mathematical Modelling
25 Communications in Mathematical Physics
25 Acta Applicandae Mathematicae
24 Advances in Difference Equations
23 Mathematics and Computers in Simulation
23 Journal of Difference Equations and Applications
23 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
22 SIAM Journal on Control and Optimization
22 Mathematical Problems in Engineering
21 Proceedings of the American Mathematical Society
21 SIAM Review
21 Journal of Biological Dynamics
20 Quarterly of Applied Mathematics
20 Nonlinear Analysis. Hybrid Systems
19 Systems & Control Letters
19 Networks and Heterogeneous Media
17 Physics Letters. A
17 Studies in Applied Mathematics
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17 Multiscale Modeling & Simulation
16 Numerische Mathematik
16 SIAM Journal on Numerical Analysis
16 Transactions of the American Mathematical Society
16 Complexity
16 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
16 International Journal of Biomathematics
16 SIAM/ASA Journal on Uncertainty Quantification
15 Mathematical Methods in the Applied Sciences
15 Applied Numerical Mathematics
15 Stochastics and Dynamics
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
13 Journal of Functional Analysis
13 Neural Networks
13 Journal of Mathematical Sciences (New York)
13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
13 Foundations of Computational Mathematics
13 Kinetic and Related Models
12 Ergodic Theory and Dynamical Systems
11 Advances in Mathematical Physics
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10 Physics Reports
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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Cited in 61 Fields

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