## 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

### Latest Issues

 21, No. 2 (2022) 21, No. 1 (2022) 20, No. 4 (2021) 20, No. 3 (2021) 20, No. 2 (2021) 20, No. 1 (2021) 19, No. 4 (2020) 19, No. 3 (2020) 19, No. 2 (2020) 19, No. 1 (2020) 18, No. 4 (2019) 18, No. 3 (2019) 18, No. 2 (2019) 18, No. 1 (2019) 17, No. 4 (2018) 17, No. 3 (2018) 17, No. 2 (2018) 17, No. 1 (2018) 16, No. 4 (2017) 16, No. 3 (2017) 16, No. 2 (2017) 16, No. 1 (2017) 15, No. 4 (2016) 15, No. 3 (2016) 15, No. 2 (2016) 15, No. 1 (2016) 14, No. 4 (2015) 14, No. 3 (2015) 14, No. 2 (2015) 14, No. 1 (2015) 13, No. 4 (2014) 13, No. 3 (2014) 13, No. 2 (2014) 13, No. 1 (2014) 12, No. 4 (2013) 12, No. 3 (2013) 12, No. 2 (2013) 12, No. 1 (2013) 11, No. 4 (2012) 11, No. 3 (2012) 11, No. 2 (2012) 11, No. 1 (2012) 10, No. 4 (2011) 10, No. 3 (2011) 10, No. 2 (2011) 10, No. 1 (2011) 9, No. 4 (2010) 9, No. 3 (2010) 9, No. 2 (2010) 9, No. 1 (2010) 8, No. 4 (2009) 8, No. 3 (2009) 8, No. 2 (2009) 8, No. 1 (2009) 7, No. 4 (2008) 7, No. 3 (2008) 7, No. 2 (2008) 7, No. 1 (2008) 6, No. 4 (2007) 6, No. 3 (2007) 6, No. 2 (2007) 6, No. 1 (2007) 5, No. 4 (2006) 5, No. 3 (2006) 5, No. 2 (2006) 5, No. 1 (2006) 4, No. 4 (2005) 4, No. 3 (2005) 4, No. 2 (2005) 4, No. 1 (2005) 3, No. 4 (2004) 3, No. 3 (2004) 3, No. 2 (2004) 3, No. 1 (2004) 2, No. 4 (2003) 2, No. 3 (2003) 2, No. 2 (2003) 2, No. 1 (2003) 1, No. 2 (2002) 1, No. 1 (2002)
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)

### 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
2012
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
2003
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
2003
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
2005
On the critical coupling for Kuramoto oscillators. Zbl 1242.34096
Dörfler, Florian; Bullo, Francesco
2011
Global synchronization of linearly hybrid coupled networks with time-varying delay. Zbl 1161.94011
Yu, Wenwu; Cao, Jinde; Lü, Jinhu
2008
Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020
Freire, Emilio; Ponce, Enrique; Torres, Francisco
2012
Existence and bifurcation of canards in $$\mathbb R^3$$ in the case of a folded node. Zbl 1090.34047
Wechselberger, Martin
2005
Sufficient conditions for fast switching synchronization in time-varying network topologies. Zbl 1145.37345
Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray
2006
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
2016
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
2003
Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008
Coombes, S.
2008
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
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.
2004
Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330
Verwoerd, Mark; Mason, Oliver
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.
2005
Long period oscillations in a $$G_{0}$$ model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
2005
Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019
Coombes, S.; Owen, M. R.
2004
Singular Hopf bifurcation in systems with two slow variables. Zbl 1168.37025
Guckenheimer, John
2008
On the implementation of the 0-1 test for chaos. Zbl 1161.37054
Gottwald, Georg A.; Melbourne, Ian
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
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
2017
Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096
Arbabi, Hassan; Mezić, Igor
2017
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
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.
2007
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
2008
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
2004
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
2004
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
2010
A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030
Guillamon, Antoni; Huguet, Gemma
2009
The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504
Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren
2003
A geometric approach to the global attractor conjecture. Zbl 1301.34063
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne
2014
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
2004
Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109
Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G.
2016
Chaos in the Hodgkin–Huxley model. Zbl 1002.92005
Guckenheimer, John; Oliva, Ricardo A.
2002
On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph. Zbl 1167.34331
Verwoerd, Mark; Mason, Oliver
2009
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
2009
Freezing solutions of equivariant evolution equations. Zbl 1061.65078
Beyn, W.-J.; Thümmler, V.
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.
2012
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
2016
Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044
Colombo, Alessandro; Jeffrey, Mike R.
2011
The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. Zbl 1223.35033
Chen, W.; Ward, M. J.
2011
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
2003
The two-fold singularity of discontinuous vector fields. Zbl 1178.34042
Jeffrey, M. R.; Colombo, A.
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.
2016
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
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.
2005
Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060
Choi, Sun-Ho; Ha, Seung-Yeal
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
2010
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
2009
Rigorous numerics for global dynamics: a study of the Swift-Hohenberg equation. Zbl 1058.35050
Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki
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.
2015
Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018
Jeffrey, Mike R.
2014
Existence and stability of standing pulses in neural networks. I: Existence. Zbl 1109.34002
Guo, Yixin; Chow, Carson C.
2005
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
2013
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
2010
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
2012
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
2015
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
2014
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
2002
Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012
Wiuf, Carsten; Feliu, Elisenda
2013
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
2013
Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361
Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi
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
2007
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
2003
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
2005
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
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
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
2008
Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423
Huang, Jianhua; Shen, Wenxian
2009
Computing slow manifolds of saddle type. Zbl 1176.37026
Guckenheimer, John; Kuehn, Christian
2009
Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015
Veltz, Romain; Faugeras, Olivier
2010
Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118
Atay, Fatihcan M.; Hutt, Axel
2006
Dynamics on networks of cluster states for globally coupled phase oscillators. Zbl 1167.34326
Ashwin, Peter; Orosz, Gábor; Wordsworth, John; Townley, Stuart
2007
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
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.
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.
2010
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
2007
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
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
2005
A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems. Zbl 1059.37068
Day, S.; Junge, O.; Mischaikow, K.
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.
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.
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
2006
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
2005
Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060
Guckenheimer, John; Kuehn, Christian
2010
The structure of MESSI biological systems. Zbl 1395.92071
Pérez Millán, Mercedes; Dickenstein, Alicia
2018
Continuation-based computation of global isochrons. Zbl 1232.37014
Osinga, Hinke M.; Moehlis, Jeff
2010
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
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
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
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
2014
Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system. Zbl 1213.37046
Wilczak, Daniel
2010
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster. Zbl 1263.37036
Linaro, Daniele; Champneys, Alan; Desroches, Mathieu; Storace, Marco
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
2003
Reliable computation of robust response tori on the verge of breakdown. Zbl 1253.37077
Figueras, Jordi-Lluís; Haro, Àlex
2012
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
2019
Scaling in singular perturbation problems: blowing up a relaxation oscillator. Zbl 1243.34066
Kosiuk, Ilona; Szmolyan, Peter
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
2013
Front interactions in a three-component system. Zbl 1197.35047
van Heijster, P.; Doelman, A.; Kaper, T. J.; Promislow, K.
2010
On a competition-diffusion-advection system from river ecology: mathematical analysis and numerical study. Zbl 07484039
Yan, Xiao; Nie, Hua; Zhou, Peng
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.
2022
Rigorous verification of Hopf bifurcations via desingularization and continuation. Zbl 1476.37094
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena
2021
A simple proof of asymptotic consensus in the Hegselmann-Krause and Cucker-Smale models with normalization and delay. Zbl 1466.34073
2021
Symbolic proof of bistability in reaction networks. Zbl 1465.37105
Torres, Angélica; Feliu, Elisenda
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.
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.
2021
The pair-replica-mean-field limit for intensity-based neural networks. Zbl 1465.37064
Baccelli, François; Taillefumier, Thibaud
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.
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.
2021
High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga
2021
Nanoptera in weakly nonlinear woodpile chains and diatomic granular chains. Zbl 07444704
Deng, Guo; Lustri, Christopher J.; Porter, Mason A.
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
2021
The role of multiple repetitions on the size of a rumor. Zbl 1478.60268
Rada, Alejandra; Coletti, Cristian; Lebensztayn, Elcio; Rodriguez, Pablo M.
2021
High-order accuracy computation of coupling functions for strongly coupled oscillators. Zbl 1472.92051
Park, Youngmin; Wilson, Dan D.
2021
Abundance of strange attractors near an attracting periodically perturbed network. Zbl 1476.37059
Rodrigues, Alexandre A. P.
2021
Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow. Zbl 1461.76172
Han, Daozhi; Hernandez, Marco; Wang, Quan
2021
Stability of motion induced by a point vortex under arbitrary polynomial perturbations. Zbl 1466.37046
Liu, Qihuai; Torres, Pedro J.
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
2021
Nonlinear consensus on networks: equilibria, effective resistance, and trees of motifs. Zbl 1478.05142
Homs-Dones, Marc; Devriendt, Karel; Lambiotte, Renaud
2021
Optimal control of oscillation timing and entrainment using large magnitude inputs: an adaptive phase-amplitude-coordinate-based approach. Zbl 1475.92021
Wilson, Dan
2021
Data assimilation for the Navier-Stokes equations using local observables. Zbl 1480.35309
Biswas, Animikh; Bradshaw, Zachary; Jolly, Michael S.
2021
A stiction oscillator under slowly varying forcing: uncovering small scale phenomena using blowup. Zbl 07444702
Kristiansen, Kristian U.
2021
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
2020
From the Lohe tensor model to the Lohe Hermitian sphere model and emergent dynamics. Zbl 1441.82011
Ha, Seung-Yeal; Park, Hansol
2020
Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability. Zbl 1442.37090
Pan, Shaowu; Duraisamy, Karthik
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.
2020
Intralayer synchronization in evolving multiplex hypernetworks: analytical approach. Zbl 1441.37093
Rakshit, Sarbendu; Bera, Bidesh K.; Bollt, Erik M.; Ghosh, Dibakar
2020
Mathematical modeling for schistosomiasis with seasonal influence: a case study in Hubei, China. Zbl 1445.37074
Zhang, Tailei; Zhao, Xiao-Qiang
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
2020
Permanence of weakly reversible mass-action systems with a single linkage class. Zbl 1443.92110
Boros, Balázs; Hofbauer, Josef
2020
Affine invariant interacting Langevin dynamics for Bayesian inference. Zbl 1472.65118
Garbuno-Inigo, Alfredo; Nüsken, Nikolas; Reich, Sebastian
2020
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
2020
Time-delay observables for Koopman: theory and applications. Zbl 1441.37090
Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan
2020
LOR for analysis of periodic dynamics: a one-stop shop approach. Zbl 1461.34065
Letson, Benjamin; Rubin, Jonathan E.
2020
Computational singular perturbation method for nonstandard slow-fast systems. Zbl 1457.37102
Lizarraga, Ian; Wechselberger, Martin
2020
Data-driven model predictive control using interpolated Koopman generators. Zbl 1461.49007
Peitz, Sebastian; Otto, Samuel E.; Rowley, Clarence W.
2020
Barriers to the transport of diffusive scalars in compressible flows. Zbl 1448.76146
Haller, George; Karrasch, Daniel; Kogelbauer, Florian
2020
Data based reconstruction of duplex networks. Zbl 1437.37123
Ma, Chuang; Chen, Han-Shuang; Li, Xiang; Lai, Ying-Cheng; Zhang, Hai-Feng
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.
2020
Bifurcations on fully inhomogeneous networks. Zbl 1443.34039
Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang
2020
On the Koopman operator of algorithms. Zbl 1437.47048
Dietrich, Felix; Thiem, Thomas N.; Kevrekidis, Ioannis G.
2020
Endotactic networks and toric differential inclusions. Zbl 1461.37077
Craciun, Gheorghe; Deshpande, Abhishek
2020
Centering data improves the dynamic mode decomposition. Zbl 1465.37092
Hirsh, Seth M.; Harris, Kameron Decker; Kutz, J. Nathan; Brunton, Bingni W.
2020
Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations. Zbl 1443.35072
Alfaro, Matthieu; Ducrot, Arnaud; Faye, Grégory
2020
Alternative reduction by stages of Keplerian systems. Positive, negative, and zero energy. Zbl 1473.70027
Crespo, Francisco; Ferrer, Sebastián
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.
2020
Pulse solutions for an extended Klausmeier model with spatially varying coefficients. Zbl 1431.35071
Bastiaansen, Robbin; Chirilus-Bruckner, Martina; Doelman, Arjen
2020
Neurologically motivated coupling functions in models of motor coordination. Zbl 1446.34092
Słowiński, Piotr; Al-Ramadhani, Sohaib; Tsaneva-Atanasova, Krasimira
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.
2020
Emergent behaviors of the Kuramoto model with a time delay on a general digraph. Zbl 07175470
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
2020
Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
2020
Lotka-Volterra competition model on graphs. Zbl 1437.92103
Slavík, Antonín
2020
Invariant synchrony subspaces of sets of matrices. Zbl 1442.15045
Neuberger, John M.; Sieben, Nándor; Swift, James W.
2020
Hubs-attracting Laplacian and related synchronization on networks. Zbl 1439.05210
Gambuzza, Lucia Valentina; Frasca, Mattia; Estrada, Ernesto
2020
Big ducks in the heart: canard analysis can explain large early afterdepolarizations in cardiomyocytes. Zbl 1460.92052
Kimrey, Joshua; Vo, Theodore; Bertram, Richard
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.
2020
Tipping phenomena and points of no return in ecosystems: beyond classical bifurcations. Zbl 1467.37091
O&rsquo;Keeffe, Paul E.; Wieczorek, Sebastian
2020
Rate-induced tipping in discrete-time dynamical systems. Zbl 1445.37016
Kiers, Claire
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
2020
On the stability of symmetric periodic orbits of the elliptic Sitnikov problem. Zbl 1476.70015
Cen, Xiuli; Cheng, Xuhua; Huang, Zaitang; Zhang, Meirong
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
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
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.
2020
Phase reduction of stochastic biochemical oscillators. Zbl 1433.92015
Bressloff, Paul C.; MacLaurin, James N.
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
2020
Computing invariant sets of random differential equations using polynomial chaos. Zbl 1441.37057
Breden, Maxime; Kuehn, Christian
2020
Invariant sets in quasiperiodically forced dynamical systems. Zbl 1442.37012
Susuki, Yoshihiko; Mezić, Igor
2020
Bäcker, Arnd; Meiss, James D.
2020
Ribosome flow model with different site sizes. Zbl 1441.92020
Bar-Shalom, Eyal; Ovseevich, Alexander; Margaliot, Michael
2020
State-dependent dynamics of the Lohe matrix ensemble on the unitary group under the gradient flow. Zbl 1443.34035
Kim, Dohyun
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
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
2020
Global time-renormalization of the gravitational $$N$$-body problem. Zbl 1476.70033
Antoñana, Mikel; Chartier, Philippe; Makazaga, Joseba; Murua, Ander
2020
Koopman analysis of isolated fronts and solitons. Zbl 1465.37097
Parker, Jeremy P.; Page, Jacob
2020
Bounding extreme events in nonlinear dynamics using convex optimization. Zbl 1461.93202
Fantuzzi, Giovanni; Goluskin, David
2020
Effects of large permanent charges on ionic flows via Poisson-Nernst-Planck models. Zbl 1464.78003
Zhang, Liwei; Liu, Weishi
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.
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.
2020
Stoker’s problem for quasi-periodically forced reversible systems with multidimensional Liouvillean frequency. Zbl 1470.70026
Xu, Xiaodan; Si, Wen; Si, Jianguo
2020
On the number of limit cycles in generalized Abel equations. Zbl 1472.34065
Huang, Jianfeng; Torregrosa, Joan; Villadelprat, Jordi
2020
Extended and symmetric loss of stability for canards in planar fast-slow maps. Zbl 1478.37054
Engel, Maximilian; Jardón-Kojakhmetov, Hildeberto
2020
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
2019
Linearly recurrent autoencoder networks for learning dynamics. Zbl 07068540
Otto, Samuel E.; Rowley, Clarence W.
2019
A collisionless singular Cucker-Smale model with decentralized formation control. Zbl 1432.34063
Choi, Young-Pil; Kalise, Dante; Peszek, Jan; Peters, Andrés A.
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
2019
A second-order particle swarm model on a sphere and emergent dynamics. Zbl 1412.34157
Ha, Seung-Yeal; Kim, Dohyun
2019
Online dynamic mode decomposition for time-varying systems. Zbl 07122844
Zhang, Hao; Rowley, Clarence W.; Deem, Eric A.; Cattafesta, Louis N.
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
2019
Randomized dynamic mode decomposition. Zbl 1427.65410
Erichson, N. Benjamin; Mathelin, Lionel; Kutz, J. Nathan; Brunton, Steven L.
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.
2019
Stability of traveling waves for reaction-diffusion equations with multiplicative noise. Zbl 1414.35117
Hamster, C. H. S.; Hupkes, H. J.
2019
Discovery of nonlinear multiscale systems: sampling strategies and embeddings. Zbl 1474.65476
Champion, Kathleen P.; Brunton, Steven L.; Kutz, J. Nathan
2019
Pattern formation and synchronism in an allelopathic plankton model with delay in a network. Zbl 1416.34071
Tian, Canrong; Ruan, Shigui
2019
Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401
Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H.
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
2019
The Kuramoto model on oriented and signed graphs. Zbl 1420.34083
Delabays, Robin; Jacquod, Philippe; Dörfler, Florian
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
2019
Number and stability of relaxation oscillations for predator-prey systems with small death rates. Zbl 1411.34064
Hsu, Ting-Hao
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.
2019
...and 857 more Documents
all top 5

### Cited by 7,913 Authors

 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. 13 Palacián, Jesús F. 13 M-Seara, Tere 13 Tonon, Durval José 13 Yang, Xiaosong 13 Yanguas, Patricia 13 Zhang, Mingji 12 Bramburger, Jason J. 12 Cai, Yongli 12 Froyland, Gary 12 Ghosh, Dibakar 12 Giannakis, Dimitrios 12 Lăzureanu, Cristian 12 Liu, Weishi 12 Tang, Sanyi 12 Wang, Weiming 12 Yu, Wenwu 11 Alla, Alessandro 11 Anderson, David Frederick 11 Avitabile, Daniele 11 Barrio, Roberto ...and 7,813 more Authors
all top 5

### 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 52 Journal of Computational and Applied Mathematics 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 45 Mathematical Biosciences and Engineering 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 26 Applied Mathematical Modelling 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 17 Physics Letters. A 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 13 Journal of Functional Analysis 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 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Indagationes Mathematicae. New Series ...and 360 more Journals
all top 5

### Cited in 61 Fields

 1,961 Ordinary differential equations (34-XX) 1,946 Dynamical systems and ergodic theory (37-XX) 1,938 Biology and other natural sciences (92-XX) 1,828 Partial differential equations (35-XX) 734 Numerical analysis (65-XX) 553 Systems theory; control (93-XX) 481 Mechanics of particles and systems (70-XX) 423 Fluid mechanics (76-XX) 367 Probability theory and stochastic processes (60-XX) 245 Statistical mechanics, structure of matter (82-XX) 173 Mechanics of deformable solids (74-XX) 165 Computer science (68-XX) 163 Calculus of variations and optimal control; optimization (49-XX) 147 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 126 Operations research, mathematical programming (90-XX) 124 Operator theory (47-XX) 110 Integral equations (45-XX) 107 Statistics (62-XX) 96 Combinatorics (05-XX) 95 Information and communication theory, circuits (94-XX) 92 Difference and functional equations (39-XX) 78 Optics, electromagnetic theory (78-XX) 71 Quantum theory (81-XX) 70 Classical thermodynamics, heat transfer (80-XX) 58 Global analysis, analysis on manifolds (58-XX) 55 Differential geometry (53-XX) 48 Geophysics (86-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 37 Real functions (26-XX) 20 Algebraic topology (55-XX) 19 Approximations and expansions (41-XX) 17 Functional analysis (46-XX) 16 Commutative algebra (13-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Convex and discrete geometry (52-XX) 16 Relativity and gravitational theory (83-XX) 15 Astronomy and astrophysics (85-XX) 14 Special functions (33-XX) 13 Manifolds and cell complexes (57-XX) 12 General and overarching topics; collections (00-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 General topology (54-XX) 10 Algebraic geometry (14-XX) 10 Measure and integration (28-XX) 9 Group theory and generalizations (20-XX) 7 Topological groups, Lie groups (22-XX) 6 Number theory (11-XX) 6 Field theory and polynomials (12-XX) 5 History and biography (01-XX) 4 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Mathematical logic and foundations (03-XX) 3 Functions of a complex variable (30-XX) 3 Geometry (51-XX) 3 Mathematics education (97-XX) 2 Category theory; homological algebra (18-XX) 2 Integral transforms, operational calculus (44-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX)