Journal of Nonlinear Science Short Title: J. Nonlinear Sci. Publisher: Springer US, New York, NY ISSN: 0938-8974; 1432-1467/e Online: https://link.springer.com/journal/332/volumes-and-issues Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,313 Publications (since 1991) References Indexed: 1,116 Publications with 43,356 References. all top 5 Latest Issues 34, No. 2 (2024) 34, No. 1 (2024) 33, No. 6 (2023) 33, No. 5 (2023) 33, No. 4 (2023) 33, No. 3 (2023) 33, No. 2 (2023) 33, No. 1 (2023) 32, No. 6 (2022) 32, No. 5 (2022) 32, No. 4 (2022) 32, No. 3 (2022) 32, No. 2 (2022) 32, No. 1 (2022) 31, No. 6 (2021) 31, No. 5 (2021) 31, No. 4 (2021) 31, No. 3 (2021) 31, No. 2 (2021) 31, No. 1 (2021) 30, No. 6 (2020) 30, No. 5 (2020) 30, No. 4 (2020) 30, No. 3 (2020) 30, No. 2 (2020) 30, No. 1 (2020) 29, No. 6 (2019) 29, No. 5 (2019) 29, No. 4 (2019) 29, No. 3 (2019) 29, No. 2 (2019) 29, No. 1 (2019) 28, No. 6 (2018) 28, No. 5 (2018) 28, No. 4 (2018) 28, No. 3 (2018) 28, No. 2 (2018) 28, No. 1 (2018) 27, No. 6 (2017) 27, No. 5 (2017) 27, No. 4 (2017) 27, No. 3 (2017) 27, No. 2 (2017) 27, No. 1 (2017) 26, No. 6 (2016) 26, No. 5 (2016) 26, No. 4 (2016) 26, No. 3 (2016) 26, No. 2 (2016) 26, No. 1 (2016) 25, No. 6 (2015) 25, No. 5 (2015) 25, No. 4 (2015) 25, No. 3 (2015) 25, No. 2 (2015) 25, No. 1 (2015) 24, No. 6 (2014) 24, No. 5 (2014) 24, No. 4 (2014) 24, No. 3 (2014) 24, No. 2 (2014) 24, No. 1 (2014) 23, No. 6 (2013) 23, No. 5 (2013) 23, No. 4 (2013) 23, No. 3 (2013) 23, No. 2 (2013) 23, No. 1 (2013) 22, No. 6 (2012) 22, No. 5 (2012) 22, No. 4 (2012) 22, No. 3 (2012) 22, No. 2 (2012) 22, No. 1 (2012) 21, No. 6 (2011) 21, No. 5 (2011) 21, No. 4 (2011) 21, No. 3 (2011) 21, No. 2 (2011) 21, No. 1 (2011) 20, No. 6 (2010) 20, No. 5 (2010) 20, No. 4 (2010) 20, No. 3 (2010) 20, No. 2 (2010) 20, No. 1 (2010) 19, No. 6 (2009) 19, No. 5 (2009) 19, No. 4 (2009) 19, No. 3 (2009) 19, No. 2 (2009) 19, No. 1 (2009) 18, No. 6 (2008) 18, No. 5 (2008) 18, No. 4 (2008) 18, No. 3 (2008) 18, No. 2 (2008) 18, No. 1 (2008) 17, No. 6 (2007) 17, No. 5 (2007) ...and 90 more Volumes all top 5 Authors 16 Holm, Darryl Dallas 15 Titi, Edriss Saleh 11 Majda, Andrew J. 10 Jiang, Daqing 9 Ashwin, Peter 9 Wei, Juncheng 8 Chossat, Pascal 8 Doelman, Arjen 8 Domokos, Gábor 8 Gay-Balmaz, François 8 Holmes, Philip J. 8 Kohn, Robert Vita 8 Pelinovsky, Dmitry Efimovich 8 Scheel, Arnd 8 Wu, Jiahong 7 Celletti, Alessandra 7 Chae, Dongho 7 Mezić, Igor 7 Schneider, Guido 7 M-Seara, Tere 7 Zenkov, Dmitry V. 6 Degond, Pierre 6 Golubitsky, Martin A. 6 Kanso, Eva Adnan 6 Koltai, Péter 6 LeBlanc, Victor G. 6 Llibre, Jaume 6 Medvedev, Georgi S. 6 Mielke, Alexander 6 Rademacher, Jens Diederich Michael 6 Ratiu, Tudor Stefan 6 Sandstede, Björn 6 Stewart, Ian Nicholas 6 Yavari, Arash 6 Zhao, Xiao-Qiang 5 Birnir, Bjorn 5 Bona, Jerry Lloyd 5 de la Llave, Rafael 5 Fokas, Athanassios S. 5 James, Richard D. 5 Kaper, Tasso J. 5 Klein, Christian 5 Klus, Stefan 5 Kühn, Christian 5 Leok, Melvin 5 Liu, Jianguo 5 Liu, Qun 5 Marsden, Jerrold Eldon 5 Martín de Diego, David 5 McLaughlin, David W. 5 Pego, Robert Leo 5 Pérez-Chavela, Ernesto 5 Putkaradze, Vakhtang 5 Rowley, Clarence Worth 5 Schütte, Christof 5 Shi, Donghua 5 Uldall Kristiansen, K. 5 Wiggins, Stephen R. 5 Yi, Yingfei 4 Al-saedi, Ahmed Eid Salem 4 Bloch, Anthony Michael 4 Boyer, Frédéric 4 Constantin, Peter 4 Crowdy, Darren Gregory 4 Davoli, Elisa 4 Dias, Ana Paula S. 4 Ercolani, Nicholas M. 4 Fonseca, Irene 4 Geng, Xianguo 4 Grabovsky, Yury 4 Grotta Ragazzo, Clodoaldo 4 Ha, Seung-Yeal 4 Hayat, Tasawar 4 Hogan, S. John 4 Holcman, David 4 Kevrekidis, Ioannis George 4 Kevrekidis, Panayotis G. 4 Knobloch, Edgar 4 Lawley, Sean D. 4 Lenells, Jonatan 4 Li, Y. Charles 4 Liu, Meng 4 Luesink, Erwin 4 MacKay, Robert Sinclair 4 Marangell, Robert 4 Mei, Ming 4 Murray, James Dickson 4 Neff, Patrizio 4 Niethammer, Barbara 4 Noble, Pascal 4 Otto, Felix 4 Protas, Bartosz 4 Qi, Di 4 Saut, Jean-Claude 4 Shi, Junping 4 Swift, James W. 4 Szalai, Róbert 4 Valls Anglés, Cláudia 4 Wang, Hao 4 Ward, Michael J. ...and 2,024 more Authors all top 5 Fields 563 Partial differential equations (35-XX) 492 Dynamical systems and ergodic theory (37-XX) 274 Fluid mechanics (76-XX) 265 Ordinary differential equations (34-XX) 206 Biology and other natural sciences (92-XX) 196 Mechanics of particles and systems (70-XX) 144 Mechanics of deformable solids (74-XX) 112 Numerical analysis (65-XX) 109 Statistical mechanics, structure of matter (82-XX) 107 Probability theory and stochastic processes (60-XX) 84 Calculus of variations and optimal control; optimization (49-XX) 66 Systems theory; control (93-XX) 53 Differential geometry (53-XX) 34 Global analysis, analysis on manifolds (58-XX) 33 Geophysics (86-XX) 31 Optics, electromagnetic theory (78-XX) 28 Operator theory (47-XX) 22 Computer science (68-XX) 18 Operations research, mathematical programming (90-XX) 15 Integral equations (45-XX) 14 Difference and functional equations (39-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Combinatorics (05-XX) 12 Measure and integration (28-XX) 12 Statistics (62-XX) 11 Quantum theory (81-XX) 11 Information and communication theory, circuits (94-XX) 10 Real functions (26-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Algebraic geometry (14-XX) 9 Convex and discrete geometry (52-XX) 6 Approximations and expansions (41-XX) 6 Functional analysis (46-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 5 Potential theory (31-XX) 5 Special functions (33-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 General topology (54-XX) 4 Commutative algebra (13-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geometry (51-XX) 2 Topological groups, Lie groups (22-XX) 2 Manifolds and cell complexes (57-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,097 Publications have been cited 14,408 times in 11,503 Documents Cited by ▼ Year ▼ Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044 Bona, J. L.; Chen, M.; Saut, J.-C. 227 2002 A data-driven approximation of the koopman operator: extending dynamic mode decomposition. Zbl 1329.65310 Williams, Matthew O.; Kevrekidis, Ioannis G.; Rowley, Clarence W. 225 2015 Stability of the Camassa-Holm solitons. Zbl 1022.35053 Constantin, A.; Strauss, W. A. 219 2002 Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020 Ball, J. M. 202 1997 Time integration and discrete Hamiltonian systems. Zbl 0866.58030 Gonzalez, O. 191 1996 How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040 Winkler, Michael 154 2014 Formation and dynamics of shock waves in the Degasperis-Procesi equation. Zbl 1185.35194 Lundmark, H. 144 2007 Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species. Zbl 1262.35203 Horstmann, Dirk 114 2011 Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations. Zbl 1442.91116 Beck, Christian; E, Weinan; Jentzen, Arnulf 105 2019 Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses. Zbl 1259.35009 Chen, Kevin K.; Tu, Jonathan H.; Rowley, Clarence W. 100 2012 The membrane shell model in nonlinear elasticity: A variational asymptotic derivation. Zbl 0844.73045 Le Dret, Hervé; Raoult, Annie 88 1996 The dynamics of \(n\) weakly coupled identical oscillators. Zbl 0872.58049 Ashwin, P.; Swift, J. W. 85 1992 Continuous data assimilation using general interpolant observables. Zbl 1291.35168 Azouani, Abderrahim; Olson, Eric; Titi, Edriss S. 84 2014 A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035 Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G. 83 1997 Bounds and new approaches for the 3D MHD equations. Zbl 1029.76062 Wu, Jiahong 79 2002 Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. Zbl 1084.74501 Friesecke, G.; Theil, F. 78 2002 On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083 Constantin, A. 77 2000 Robust heteroclinic cycles. Zbl 0879.58054 Krupa, M. 77 1997 Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012 Collins, J. J.; Stewart, I. N. 77 1993 On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064 Li, W.-T.; Ruan, S.; Wang, Z.-C. 76 2007 The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325 Geng, Xianguo; Liu, Huan 76 2018 Numerical integration of ordinary differential equations on manifolds. Zbl 0798.34012 Crouch, P. E.; Grossman, R. 76 1993 Permanence of stochastic Lotka-Volterra systems. Zbl 1387.60106 Liu, Meng; Fan, Meng 75 2017 Spatial dynamics of a nonlocal dispersal population model in a shifting environment. Zbl 1394.35240 Li, Wan-Tong; Wang, Jia-Bing; Zhao, Xiao-Qiang 71 2018 Singular perturbation and the energy of folds. Zbl 0973.49009 Jin, W.; Kohn, R. V. 69 2000 The spectrum of the partially locked state for the Kuramoto model. Zbl 1119.37051 Mirollo, R.; Strogatz, S. H. 68 2007 Poisson geometry of the filament equation. Zbl 0795.35115 Langer, Joel; Perline, Ron 68 1991 Dynamics of a two-prey one-predator system in random environments. Zbl 1279.92088 Liu, Meng; Wang, Ke 66 2013 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032 Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 65 2005 Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model. Zbl 1030.35011 Ward, M. J.; Wei, J. 65 2003 On the validity of the Ginzburg-Landau equation. Zbl 0795.35112 van Harten, A. 64 1991 Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. Zbl 1370.76015 Hou, Thomas Y.; Li, Ruo 62 2006 The transition from bursting to continuous spiking in excitable membrane models. Zbl 0900.92059 Terman, D. 60 1992 The \(n\)-body problem in spaces of constant curvature. I: Relative equilibria. Zbl 1247.70031 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 59 2012 Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case. Zbl 1141.35345 Wei, J.; Winter, M. 57 2001 Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. Zbl 1104.37031 Zou, Y.; Kupper, T.; Beyn, W.-J. 57 2006 A vector general nonlinear Schrödinger equation with \((m+n)\) components. Zbl 1437.35627 Geng, Xianguo; Li, Ruomeng; Xue, Bo 57 2020 Data-driven model reduction and transfer operator approximation. Zbl 1396.37083 Klus, Stefan; Nüske, Feliks; Koltai, Péter; Wu, Hao; Kevrekidis, Ioannis; Schütte, Christof; Noé, Frank 57 2018 Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152 Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S. 56 2009 On universality of critical behavior in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the Tritronquée solution to the Painlevé-I equation. Zbl 1220.37048 Dubrovin, B.; Grava, T.; Klein, C. 55 2009 A theoretical approach to understanding population dynamics with seasonal developmental durations. Zbl 1384.37116 Lou, Yijun; Zhao, Xiao-Qiang 54 2017 On convergence of extended dynamic mode decomposition to the Koopman operator. Zbl 1457.37103 Korda, Milan; Mezić, Igor 52 2018 Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019 Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 51 2013 Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model. Zbl 1270.35093 van der Stelt, Sjors; Doelman, Arjen; Hek, Geertje; Rademacher, Jens D. M. 51 2013 The Sobolev stability threshold for 2D shear flows near Couette. Zbl 1403.35228 Bedrossian, Jacob; Vicol, Vlad; Wang, Fei 51 2018 Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013 Mainik, Andreas; Mielke, Alexander 50 2009 Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups. Zbl 0799.58069 Lewis, Debra; Simo, J. C. 49 1994 Nonconstant positive steady states and pattern formation of 1D prey-taxis systems. Zbl 1368.92160 Wang, Qi; Song, Yang; Shao, Lingjie 49 2017 Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051 Crisan, Dan; Flandoli, Franco; Holm, Darryl D. 49 2019 Analysis of the computational singular perturbation reduction method for chemical kinetics. Zbl 1053.92051 Zagaris, A.; Kaper, H. G.; Kaper, T. J. 48 2004 Optimal strokes for low Reynolds number swimmers: an example. Zbl 1146.76062 Alouges, François; DeSimone, Antonio; Lefebvre, Aline 47 2008 Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024 Liang, D.; Wu, J. 47 2003 Quasi-neutral limit for Euler-Poisson system. Zbl 0997.34033 Slemrod, M.; Sternberg, N. 46 2001 A mathematical model of intermittent androgen suppression for prostate cancer. Zbl 1172.92021 Ideta, Aiko Miyamura; Tanaka, Gouhei; Takeuchi, Takumi; Aihara, Kazuyuki 46 2008 Nonholonomic LR systems as generalized Chaplygin systems with an invariant measure and flows on homogeneous spaces. Zbl 1125.37045 Fedorov, Y. N.; Jovanović, Božidar Žarko 46 2004 On the integrability and perturbation of three-dimensional fluid flows with symmetry. Zbl 0796.76021 Mezić, I.; Wiggins, S. 46 1994 Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. Zbl 1335.35120 Guo, Shangjiang; Ma, Li 46 2016 Optimal harvesting of a stochastic logistic model with time delay. Zbl 1329.60186 Liu, Meng; Bai, Chuanzhi 45 2015 The \(n\)-body problem in spaces of constant curvature. II: Singularities. Zbl 1247.70029 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 44 2012 A predator-prey model with a Holling type I functional response including a predator mutual interference. Zbl 1238.92049 Seo, Gunog; DeAngelis, Donald L. 44 2011 Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain. Zbl 1178.35039 Kolokolnikov, T.; Ward, M. J.; Wei, J. 44 2009 On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions. Zbl 1348.35171 Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio 43 2016 Dynamics of a stochastic predator-prey model with stage structure for predator and Holling type II functional response. Zbl 1395.34053 Liu, Qun; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed 43 2018 A geometric theory of growth mechanics. Zbl 1428.74157 Yavari, Arash 42 2010 Scaling laws in microphase separation of diblock copolymers. Zbl 1023.82015 Choksi, R. 42 2001 Centre manifold reduction for quasilinear discrete systems. Zbl 1185.37158 James, G. 42 2003 Some curious phenomena in coupled cell networks. Zbl 1136.37359 Golubitsky, M.; Nicol, M.; Stewart, I. 41 2004 Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling. Zbl 1123.35327 Li, Bo; Liu, Jian-Guo 41 2004 On the dynamics of fine structure. Zbl 0791.35030 Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J. 41 1991 Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Zbl 1271.34071 Chen, Shanshan; Shi, Junping; Wei, Junjie 41 2013 New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems. Zbl 1151.82364 Abramov, Rafail V.; Majda, Andrew J. 40 2008 A reaction-diffusion model of vector-borne disease with periodic delays. Zbl 1411.35170 Wu, Ruiwen; Zhao, Xiao-Qiang 40 2019 Wave breaking of the Camassa-Holm equation. Zbl 1247.35104 Jiang, Zaihong; Ni, Lidiao; Zhou, Yong 39 2012 A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071 Horstmann, D.; Stevens, A. 39 2004 Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. Zbl 1254.37053 Aguiar, M.; Ashwin, P.; Dias, A.; Field, M. 38 2011 Dressing for a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1209.35130 Lenells, Jonatan 38 2010 Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems. Zbl 1242.35147 Wang, Haiyan 38 2011 Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336 Constantin, A.; Kolev, B. 38 2006 On the persistence of lower dimensional invariant tori under quasi-periodic perturbations. Zbl 0898.58044 Jorba, À.; Villanueva, J. 38 1997 Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116 Barbu, Viorel; Röckner, Michael; Zhang, Deng 38 2014 Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241 Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur 38 2010 Integrators for nonholonomic mechanical systems. Zbl 1104.37043 McLachlan, R.; Perlmutter, M. 37 2006 Computing (un)stable manifolds with validated error bounds: non-resonant and resonant spectra. Zbl 1360.37176 van den Berg, Jan Bouwe; Mireles James, Jason D.; Reinhardt, Christian 37 2016 Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy. Zbl 1309.37070 Geng, Xianguo; Wu, Lihua; He, Guoliang 36 2013 The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032 Fokas, A. S.; Zakharov, V. E. 35 1992 Hölder continuity for the Fokas-Olver-Rosenau-Qiao equation. Zbl 1309.35109 Himonas, A. Alexandrou; Mantzavinos, Dionyssios 35 2014 Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150 Klein, Christian; Saut, Jean-Claude 35 2012 Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation. Zbl 1428.35485 Bilman, Deniz; Buckingham, Robert 34 2019 Theory and computation of covariant Lyapunov vectors. Zbl 1301.37065 Kuptsov, Pavel V.; Parlitz, Ulrich 34 2012 Soliton splitting by external delta potentials. Zbl 1128.35384 Holmer, J.; Marzuola, J.; Zworski, M. 33 2007 Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131 Bona, J. L.; McKinney, W. R.; Restrepo, J. M. 33 2000 Local Lyapunov exponents computed from observed data. Zbl 0802.58041 Abarbanel, H. D. I.; Brown, R.; Kennel, M. B. 33 1992 Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043 Klein, Christian; Sparber, Christof; Markowich, Peter 33 2007 Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361 Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping 33 2002 Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background. Zbl 1427.35226 Chen, Jinbing; Pelinovsky, Dmitry E. 33 2019 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011 Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 32 2001 Families of periodic solutions of resonant PDEs. Zbl 0994.37040 Bambusi, Dario; Paleari, Simone 32 2001 Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems. Zbl 1051.37031 Delshams, A.; Gutiérrez, P. 32 2000 Stability of traveling pulses with oscillatory tails in the FitzHugh-Nagumo system. Zbl 1361.35024 Carter, Paul; de Rijk, Björn; Sandstede, Björn 32 2016 Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect. Zbl 1420.35238 Gui, Guilong; Liu, Yue; Luo, Ting 32 2019 A hydrodynamical model of nematic liquid crystal films with a general state of orientational order. Zbl 07765722 Bouck, Lucas; Nochetto, Ricardo H.; Yushutin, Vladimir 1 2024 Threshold dynamics and probability density function of a stochastic avian influenza epidemic model with nonlinear incidence rate and psychological effect. Zbl 1512.34100 Zhou, Baoquan; Jiang, Daqing; Dai, Yucong; Hayat, Tasawar 9 2023 Evolution of dispersal in advective patchy environments. Zbl 1510.92157 Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang 7 2023 Stochastic variational principles for dissipative equations with advected quantities. Zbl 1524.76329 Chen, Xin; Cruzeiro, Ana Bela; Ratiu, Tudor S. 6 2023 Optimal decay rates of the compressible Euler equations with time-dependent damping in \(\mathbb{R}^n\). I: Under-damping case. Zbl 07615135 Ji, Shanming; Mei, Ming 6 2023 Stochastic gradient descent with noise of machine learning type. I: Discrete time analysis. Zbl 1518.90085 Wojtowytsch, Stephan 3 2023 Pushed-to-pulled front transitions: continuation, speed scalings, and hidden monotonicty. Zbl 1526.35037 Avery, Montie; Holzer, Matt; Scheel, Arnd 3 2023 Finite-data error bounds for Koopman-based prediction and control. Zbl 1509.37122 Nüske, Feliks; Peitz, Sebastian; Philipp, Friedrich; Schaller, Manuel; Worthmann, Karl 3 2023 Global small solutions to a special \(2\frac{1}{2}\)-D compressible viscous non-resistive MHD system. Zbl 1504.35309 Dong, Boqing; Wu, Jiahong; Zhai, Xiaoping 3 2023 Analysis of a stochastic HBV infection model with DNA-containing capsids and virions. Zbl 1510.34097 Liu, Qun; Shi, Zhenfeng 3 2023 Adaptive image processing: first order PDE constraint regularizers and a bilevel training scheme. Zbl 1511.94010 Davoli, Elisa; Fonseca, Irene; Liu, Pan 3 2023 Closed 1/2-elasticae in the 2-sphere. Zbl 1514.53043 Musso, Emilio; Pámpano, Álvaro 3 2023 On two coupled degenerate parabolic equations motivated by thermodynamics. Zbl 1512.35393 Mielke, Alexander 2 2023 Mathematical theory of nonlinear single-phase poroelasticity. Zbl 1524.74126 van Duijn, C. J.; Mikelić, Andro 2 2023 Rogue waves and their patterns in the vector nonlinear Schrödinger equation. Zbl 1526.35114 Zhang, Guangxiong; Huang, Peng; Feng, Bao-Feng; Wu, Chengfa 2 2023 On a two-species attraction-repulsion chemotaxis system with nonlocal terms. Zbl 1518.35128 Zheng, Pan; Hu, Runlin; Shan, Wenhai 2 2023 From second-order differential geometry to stochastic geometric mechanics. Zbl 1519.70025 Huang, Qiao; Zambrini, Jean-Claude 2 2023 A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence. Zbl 1524.74008 Saem, Maryam Mohammadi; Ghiba, Ionel-Dumitrel; Neff, Patrizio 2 2023 Optimal control, contact dynamics and Herglotz variational problem. Zbl 1515.37108 de León, Manuel; Lainz, Manuel; Muñoz-Lecanda, Miguel C. 2 2023 Exponential asymptotic stability of the Kuramoto system with periodic natural frequencies and constant inertia. Zbl 1511.34053 Choi, Sun-Ho; Seo, Hyowon 2 2023 Energy scaling law for a singularly perturbed four-gradient problem in helimagnetism. Zbl 1504.49015 Ginster, Janusz; Zwicknagl, Barbara 2 2023 A homogenized bending theory for prestrained plates. Zbl 1513.74041 Böhnlein, Klaus; Neukamm, Stefan; Padilla-Garza, David; Sander, Oliver 2 2023 Equilateral chains and cyclic central configurations of the planar five-body problem. Zbl 1502.70027 Deng, Yiyang; Hampton, Marshall 2 2023 Non-uniform continuity of the generalized Camassa-Holm equation in Besov spaces. Zbl 1501.35040 Li, Jinlu; Wu, Xing; Zhu, Weipeng; Guo, Jiayu 2 2023 Large amplitude radially symmetric spots and gaps in a dryland ecosystem model. Zbl 1526.35025 Byrnes, Eleanor; Carter, Paul; Doelman, Arjen; Liu, Lily 1 2023 On the role of the displacement current and the Cattaneo’s law on boundary layers of plasma. 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Zbl 1490.65208 Roubíček, Tomáš 1 2022 ...and 997 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,604 Authors 70 Geng, Xianguo 65 Wei, Juncheng 52 Ha, Seung-Yeal 50 Ward, Michael J. 47 Jiang, Daqing 46 Mu, Chunlai 46 Yin, Zhaoyang 43 Titi, Edriss Saleh 41 Kühn, Christian 41 Liu, Yue 41 Schneider, Guido 40 Holm, Darryl Dallas 39 Ashwin, Peter 39 Majda, Andrew J. 38 Guo, Boling 38 Scheel, Arnd 37 Pelinovsky, Dmitry Efimovich 33 Degond, Pierre 33 Guo, Shangjiang 33 Qiao, Zhijun 33 Wang, Bixiang 32 Carrillo de la Plata, José Antonio 31 Klein, Christian 30 Mezić, Igor 30 Mielke, Alexander 29 de la Llave, Rafael 29 Martín de Diego, David 29 Stewart, Ian Nicholas 29 Wu, Jiahong 29 Zhou, Shouming 28 Li, Wan-Tong 28 Qu, Changzheng 27 He, Jingsong 27 Kevrekidis, Panayotis G. 27 Kolokolnikov, Theodore 27 Marsden, Jerrold Eldon 27 Stefanelli, Ulisse 27 Tian, Lixin 26 Grasselli, Maurizio 26 Hayat, Tasawar 26 Mireles-James, Jason D. 26 Saut, Jean-Claude 26 Shi, Junping 25 Betsch, Peter 25 Gal, Ciprian Gheorghe Sorin 25 Liu, Meng 25 Llibre, Jaume 25 Wang, Hao 25 Winkler, Michael 24 Brunton, Steven L. 24 Hou, Thomas Yizhao 24 Kutz, J. 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