Journal of Nonlinear Science Short Title: J. Nonlinear Sci. Publisher: Springer US, New York, NY ISSN: 0938-8974; 1432-1467/e Online: http://link.springer.com/journal/volumesAndIssues/332 Comments: Indexed cover-to-cover Documents Indexed: 1,100 Publications (since 1991) References Indexed: 907 Publications with 34,025 References. all top 5 Latest Issues 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) 17, No. 4 (2007) 17, No. 3 (2007) 17, No. 2 (2007) 17, No. 1 (2007) 16, No. 6 (2006) 16, No. 5 (2006) 16, No. 4 (2006) 16, No. 3 (2006) 16, No. 2 (2006) 16, No. 1 (2006) ...and 80 more Volumes all top 5 Authors 15 Holm, Darryl D. 11 Majda, Andrew J. 11 Titi, Edriss Saleh 9 Ashwin, Peter 8 Chossat, Pascal 8 Domokos, Gábor 8 Holmes, Philip J. 8 Kohn, Robert Vita 8 Wei, Juncheng 7 Doelman, Arjen 7 Gay-Balmaz, François 7 Mezić, Igor 7 Pelinovsky, Dmitry Efimovich 7 Schneider, Guido 7 Wu, Jiahong 6 Chae, Dongho 6 Golubitsky, Martin A. 6 Jiang, Daqing 6 Kanso, Eva Adnan 6 Koltai, Péter 6 Sandstede, Björn 6 Scheel, Arnd 6 Stewart, Ian Nicholas 5 Bona, Jerry Lloyd 5 Celletti, Alessandra 5 Degond, Pierre 5 Fokas, Athanassios S. 5 James, Richard D. 5 Kaper, Tasso J. 5 Klein, Christian 5 LeBlanc, Victor G. 5 Liu, Jianguo 5 Llibre, Jaume 5 Marsden, Jerrold Eldon 5 Martín de Diego, David 5 McLaughlin, David W. 5 Medvedev, Georgi S. 5 Mielke, Alexander 5 Pego, Robert L. 5 Putkaradze, Vakhtang 5 Ratiu, Tudor Stefan 5 Schütte, Christof 5 M-Seara, Tere 5 Wiggins, Stephen 5 Yavari, Arash 5 Zenkov, Dmitry V. 4 Al-saedi, Ahmed Eid Salem 4 Birnir, Bjorn 4 Bloch, Anthony Michael 4 Boyer, Frédéric 4 Constantin, Peter 4 Crowdy, Darren Gregory 4 de la Llave, Rafael 4 Dias, Ana Paula S. 4 Ercolani, Nicholas M. 4 Grabovsky, Yury 4 Ha, Seung-Yeal 4 Holcman, David 4 Kevrekidis, Ioannis George 4 Kevrekidis, Panayotis G. 4 Klus, Stefan 4 Knobloch, Edgar 4 Krupa, Martin 4 Kühn, Christian 4 Lenells, Jonatan 4 Leok, Melvin 4 Liu, Meng 4 MacKay, Robert Sinclair 4 Murray, James Dickson 4 Niethammer, Barbara 4 Otto, Felix 4 Pérez-Chavela, Ernesto 4 Qi, Di 4 Rademacher, Jens Diederich Michael 4 Rowley, Clarence W. 4 Saut, Jean-Claude 4 Valls Anglés, Cláudia 4 Ward, Michael J. 4 Zhao, Xiao-Qiang 3 Abarbanel, Henry D. I. 3 Abramov, Rafail V. 3 Aguiar, Manuela A. D. 3 Aronson, Donald G. 3 Bick, Christian 3 Cantero-Álvarez, Rubén 3 Champneys, Alan R. 3 Chang, Dong Eui 3 Choksi, Rustum 3 Constantin, Adrian 3 de la Hoz, Francisco 3 Diacu, Florin Nicolae 3 Diamond, Phil 3 Field, Michael J. 3 Forest, Mark Gregory 3 Fried, Eliot 3 Gal, Ciprian Gheorghe Sorin 3 García-Naranjo, Luis C. 3 Geng, Xianguo 3 Goriely, Alain 3 Haller, George ...and 1,684 more Authors all top 5 Fields 466 Partial differential equations (35-XX) 431 Dynamical systems and ergodic theory (37-XX) 232 Fluid mechanics (76-XX) 226 Ordinary differential equations (34-XX) 173 Mechanics of particles and systems (70-XX) 171 Biology and other natural sciences (92-XX) 118 Mechanics of deformable solids (74-XX) 93 Statistical mechanics, structure of matter (82-XX) 92 Numerical analysis (65-XX) 83 Probability theory and stochastic processes (60-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 59 Systems theory; control (93-XX) 36 Differential geometry (53-XX) 31 Global analysis, analysis on manifolds (58-XX) 28 Optics, electromagnetic theory (78-XX) 26 Geophysics (86-XX) 23 Operator theory (47-XX) 13 Computer science (68-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Operations research, mathematical programming (90-XX) 11 Integral equations (45-XX) 10 Measure and integration (28-XX) 9 Difference and functional equations (39-XX) 9 Statistics (62-XX) 9 Classical thermodynamics, heat transfer (80-XX) 9 Quantum theory (81-XX) 8 Convex and discrete geometry (52-XX) 8 Information and communication theory, circuits (94-XX) 7 Combinatorics (05-XX) 7 Algebraic geometry (14-XX) 5 Real functions (26-XX) 5 Approximations and expansions (41-XX) 5 Functional analysis (46-XX) 5 General topology (54-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Astronomy and astrophysics (85-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-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) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 916 Publications have been cited 10,708 times in 8,765 Documents Cited by ▼ Year ▼ Stability of the Camassa-Holm solitons. Zbl 1022.35053Constantin, A.; Strauss, W. A. 194 2002 Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044Bona, J. L.; Chen, M.; Saut, J.-C. 192 2002 Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020Ball, J. M. 177 1997 A data-driven approximation of the koopman operator: extending dynamic mode decomposition. Zbl 1329.65310Williams, Matthew O.; Kevrekidis, Ioannis G.; Rowley, Clarence W. 153 2015 Time integration and discrete Hamiltonian systems. Zbl 0866.58030Gonzalez, O. 149 1996 Formation and dynamics of shock waves in the Degasperis-Procesi equation. Zbl 1185.35194Lundmark, H. 130 2007 How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040Winkler, Michael 120 2014 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 1262.35203Horstmann, Dirk 93 2011 Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses. Zbl 1259.35009Chen, Kevin K.; Tu, Jonathan H.; Rowley, Clarence W. 83 2012 The dynamics of \(n\) weakly coupled identical oscillators. Zbl 0872.58049Ashwin, P.; Swift, J. W. 79 1992 The membrane shell model in nonlinear elasticity: A variational asymptotic derivation. Zbl 0844.73045Le Dret, Hervé; Raoult, Annie 77 1996 A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G. 71 1997 Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. Zbl 1084.74501Friesecke, G.; Theil, F. 70 2002 Robust heteroclinic cycles. Zbl 0879.58054Krupa, M. 69 1997 On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083Constantin, A. 69 2000 On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064Li, W.-T.; Ruan, S.; Wang, Z.-C. 69 2007 Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012Collins, J. J.; Stewart, I. N. 68 1993 Bounds and new approaches for the 3D MHD equations. Zbl 1029.76062Wu, Jiahong 66 2002 Poisson geometry of the filament equation. Zbl 0795.35115Langer, Joel; Perline, Ron 65 1991 Numerical integration of ordinary differential equations on manifolds. Zbl 0798.34012Crouch, P. E.; Grossman, R. 64 1993 The spectrum of the partially locked state for the Kuramoto model. Zbl 1119.37051Mirollo, R.; Strogatz, S. H. 61 2007 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 59 2005 Singular perturbation and the energy of folds. Zbl 0973.49009Jin, W.; Kohn, R. V. 59 2000 The transition from bursting to continuous spiking in excitable membrane models. Zbl 0900.92059Terman, D. 58 1992 Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model. Zbl 1030.35011Ward, M. J.; Wei, J. 56 2003 On the validity of the Ginzburg-Landau equation. Zbl 0795.35112van Harten, A. 55 1991 Continuous data assimilation using general interpolant observables. Zbl 1291.35168Azouani, Abderrahim; Olson, Eric; Titi, Edriss S. 54 2014 Permanence of stochastic Lotka-Volterra systems. Zbl 1387.60106Liu, Meng; Fan, Meng 53 2017 Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. Zbl 1370.76015Hou, Thomas Y.; Li, Ruo 53 2006 Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. Zbl 1104.37031Zou, Y.; Kupper, T.; Beyn, W.-J. 49 2006 Dynamics of a two-prey one-predator system in random environments. Zbl 1279.92088Liu, Meng; Wang, Ke 48 2013 Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case. Zbl 1141.35345Wei, J.; Winter, M. 47 2001 On universality of critical behavior in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the Tritronquée solution to the Painlevé-I equation. Zbl 1220.37048Dubrovin, B.; Grava, T.; Klein, C. 47 2009 The \(n\)-body problem in spaces of constant curvature. I: Relative equilibria. Zbl 1247.70031Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 46 2012 Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups. Zbl 0799.58069Lewis, Debra; Simo, J. C. 45 1994 Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations. Zbl 1442.91116Beck, Christian; E, Weinan; Jentzen, Arnulf 44 2019 Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024Liang, D.; Wu, J. 44 2003 On the integrability and perturbation of three-dimensional fluid flows with symmetry. Zbl 0796.76021Mezić, I.; Wiggins, S. 43 1994 Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo 43 2013 Nonholonomic LR systems as generalized Chaplygin systems with an invariant measure and flows on homogeneous spaces. Zbl 1125.37045Fedorov, Y. N.; Jovanović, Božidar Žarko 42 2004 Spatial dynamics of a nonlocal dispersal population model in a shifting environment. Zbl 1394.35240Li, Wan-Tong; Wang, Jia-Bing; Zhao, Xiao-Qiang 41 2018 The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325Geng, Xianguo; Liu, Huan 41 2018 Optimal strokes for low Reynolds number swimmers: an example. Zbl 1146.76062Alouges, François; DeSimone, Antonio; Lefebvre, Aline 41 2008 Centre manifold reduction for quasilinear discrete systems. Zbl 1185.37158James, G. 40 2003 Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S. 39 2009 On the dynamics of fine structure. Zbl 0791.35030Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J. 39 1991 Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. Zbl 1335.35120Guo, Shangjiang; Ma, Li 38 2016 Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model. Zbl 1270.35093van der Stelt, Sjors; Doelman, Arjen; Hek, Geertje; Rademacher, Jens D. M. 38 2013 Scaling laws in microphase separation of diblock copolymers. Zbl 1023.82015Choksi, R. 37 2001 On the persistence of lower dimensional invariant tori under quasi-periodic perturbations. Zbl 0898.58044Jorba, À.; Villanueva, J. 36 1997 Analysis of the computational singular perturbation reduction method for chemical kinetics. Zbl 1053.92051Zagaris, A.; Kaper, H. G.; Kaper, T. J. 36 2004 Some curious phenomena in coupled cell networks. Zbl 1136.37359Golubitsky, M.; Nicol, M.; Stewart, I. 36 2004 Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain. Zbl 1178.35039Kolokolnikov, T.; Ward, M. J.; Wei, J. 36 2009 Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013Mainik, Andreas; Mielke, Alexander 36 2009 Data-driven model reduction and transfer operator approximation. Zbl 1396.37083Klus, Stefan; Nüske, Feliks; Koltai, Péter; Wu, Hao; Kevrekidis, Ioannis; Schütte, Christof; Noé, Frank 35 2018 Quasi-neutral limit for Euler-Poisson system. Zbl 0997.34033Slemrod, M.; Sternberg, N. 35 2001 Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Zbl 1271.34071Chen, Shanshan; Shi, Junping; Wei, Junjie 35 2013 A mathematical model of intermittent androgen suppression for prostate cancer. Zbl 1172.92021Ideta, Aiko Miyamura; Tanaka, Gouhei; Takeuchi, Takumi; Aihara, Kazuyuki 35 2008 New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems. Zbl 1151.82364Abramov, Rafail V.; Majda, Andrew J. 35 2008 A geometric theory of growth mechanics. Zbl 1428.74157Yavari, Arash 35 2010 Optimal harvesting of a stochastic logistic model with time delay. Zbl 1329.60186Liu, Meng; Bai, Chuanzhi 35 2015 Wave breaking of the Camassa-Holm equation. Zbl 1247.35104Jiang, Zaihong; Ni, Lidiao; Zhou, Yong 34 2012 A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071Horstmann, D.; Stevens, A. 34 2004 The \(n\)-body problem in spaces of constant curvature. II: Singularities. Zbl 1247.70029Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 33 2012 Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling. Zbl 1123.35327Li, Bo; Liu, Jian-Guo 33 2004 Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems. Zbl 1242.35147Wang, Haiyan 33 2011 Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. Zbl 1254.37053Aguiar, M.; Ashwin, P.; Dias, A.; Field, M. 33 2011 On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions. Zbl 1348.35171Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio 33 2016 A theoretical approach to understanding population dynamics with seasonal developmental durations. Zbl 1384.37116Lou, Yijun; Zhao, Xiao-Qiang 32 2017 On convergence of extended dynamic mode decomposition to the Koopman operator. Zbl 1457.37103Korda, Milan; Mezić, Igor 32 2018 Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur 32 2010 Computing (un)stable manifolds with validated error bounds: non-resonant and resonant spectra. Zbl 1360.37176van den Berg, Jan Bouwe; Mireles James, Jason D.; Reinhardt, Christian 32 2016 A predator-prey model with a Holling type I functional response including a predator mutual interference. Zbl 1238.92049Seo, Gunog; DeAngelis, Donald L. 31 2011 Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150Klein, Christian; Saut, Jean-Claude 31 2012 Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation. Zbl 0972.35131Bona, J. L.; McKinney, W. R.; Restrepo, J. M. 31 2000 Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow. Zbl 0993.37034Malhotra, N.; Wiggins, S. 30 1998 Integrators for nonholonomic mechanical systems. Zbl 1104.37043McLachlan, R.; Perlmutter, M. 30 2006 Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011Goodman, R. H.; Weinstein, M. I.; Holmes, P. J. 30 2001 Families of periodic solutions of resonant PDEs. Zbl 0994.37040Bambusi, Dario; Paleari, Simone 30 2001 Variation of Lyapunov exponents on a strange attractor. Zbl 0797.58053Abarbanel, H. D. I.; Brown, R.; Kennel, M. B. 30 1991 The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032Fokas, A. S.; Zakharov, V. E. 29 1992 Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping 29 2002 Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems. Zbl 1051.37031Delshams, A.; Gutiérrez, P. 29 2000 Local Lyapunov exponents computed from observed data. Zbl 0802.58041Abarbanel, H. D. I.; Brown, R.; Kennel, M. B. 29 1992 Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043Klein, Christian; Sparber, Christof; Markowich, Peter 29 2007 Theory and computation of covariant Lyapunov vectors. Zbl 1301.37065Kuptsov, Pavel V.; Parlitz, Ulrich 28 2012 Soliton splitting by external delta potentials. Zbl 1128.35384Holmer, J.; Marzuola, J.; Zworski, M. 28 2007 Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. 27 2000 Transport in 3D volume-preserving flows. Zbl 0805.58037MacKay, R. S. 27 1994 Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE’s. Zbl 0954.35145Forest, M. G.; McLaughlin, D. W.; Muraki, D. J.; Wright, O. C. 27 2000 Nonconstant positive steady states and pattern formation of 1D prey-taxis systems. Zbl 1368.92160Wang, Qi; Song, Yang; Shao, Lingjie 27 2017 Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum. Zbl 1311.35236Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan 26 2015 Integrability of invariant metrics on the diffeomorphism group of the circle. Zbl 1170.37336Constantin, A.; Kolev, B. 26 2006 A hierarchy of models for two-phase flows. Zbl 0998.76088Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F. 26 2000 Topological analysis of chaotic time series data from the Belousov- Zhabotinskii reaction. Zbl 0797.58057Mindlin, G. B.; Solari, H. G.; Natiello, M. A.; Gilmore, R.; Hou, X.-J. 26 1991 Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations. Zbl 0884.58042David, D.; Holm, D. D. 25 1992 On soccer balls and linearized inverse statistical mechanics. Zbl 1302.82032von Brecht, James H.; Uminsky, David 25 2012 The stress driven instability in elastic crystals: Mathematical models and physical manifestations. Zbl 0843.73040Grinfeld, M. A. 25 1993 Relative equilibria in the four-vortex problem with two pairs of equal vorticities. Zbl 1302.76042Hampton, Marshall; Roberts, Gareth E.; Santoprete, Manuele 25 2014 Large-scale dynamics of mean-field games driven by local Nash equilibria. Zbl 1295.91015Degond, Pierre; Liu, Jian-Guo; Ringhofer, Christian 25 2014 Dynamic mode decomposition for continuous time systems with the Liouville operator. Zbl 07451426Rosenfeld, Joel A.; Kamalapurkar, Rushikesh; Gruss, L. Forest; Johnson, Taylor T. 2 2022 A family of non-monotonic toral mixing maps. Zbl 07502889Hill, J. Myers; Sturman, R.; Wilson, M. C. T. 1 2022 The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian. Zbl 1471.35302Li, Changpin; Li, Zhiqiang 5 2021 Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. Zbl 1476.35252Zhang, Guoqiang; Ling, Liming; Yan, Zhenya 5 2021 On the geometry of discrete contact mechanics. Zbl 1464.37082Anahory Simoes, Alexandre; Martín de Diego, David; Lainz Valcázar, Manuel; de León, Manuel 5 2021 Spontaneous periodic orbits in the Navier-Stokes flow. Zbl 1475.35247van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; van Veen, Lennaert 5 2021 Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. Zbl 1472.35089Rao, Jiguang; Fokas, Athanassios S.; He, Jingsong 4 2021 Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction. Zbl 1476.35035Ambrose, David M.; Mazzucato, Anna L. 4 2021 Modulational instability of periodic standing waves in the derivative NLS equation. Zbl 1477.35235Chen, Jinbing; Pelinovsky, Dmitry E.; Upsal, Jeremy 3 2021 Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation. Zbl 1469.34019Li, Changpin; Li, Zhiqiang 3 2021 Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory. Zbl 1476.37086Bridges, Thomas J.; Ratliff, Daniel J. 3 2021 Scaling limits for the generalized Langevin equation. Zbl 1473.35057Pavliotis, G. A.; Stoltz, G.; Vaes, U. 3 2021 Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models. Zbl 1466.92145Hening, Alexandru 3 2021 Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation. Zbl 07400525Carlson, Elizabeth; Larios, Adam 2 2021 Diffusivity estimation for activator-inhibitor models: theory and application to intracellular dynamics of the actin cytoskeleton. Zbl 1469.60207Pasemann, Gregor; Flemming, Sven; Alonso, Sergio; Beta, Carsten; Stannat, Wilhelm 2 2021 Vortex patches choreography for active scalar equations. Zbl 1476.35187García, Claudia 2 2021 Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source. Zbl 1471.35004Zhou, Jun; Zhang, Huan 2 2021 Instability of static solutions of the sine-Gordon equation on a \(\mathcal{Y}\)-junction graph with \(\delta\)-interaction. Zbl 1462.35326Angulo Pava, Jaime; Plaza, Ramón G. 2 2021 Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation. Zbl 1462.35478Scarpa, Luca 2 2021 Stochastic wave-current interaction in thermal shallow water dynamics. Zbl 1468.76014Holm, Darryl D.; Luesink, Erwin 2 2021 Phytoplankton competition for nutrients and light in a stratified lake: a mathematical model connecting epilimnion and hypolimnion. Zbl 1470.92268Zhang, Jimin; Kong, Jude D.; Shi, Junping; Wang, Hao 2 2021 Convex computation of extremal invariant measures of nonlinear dynamical systems and Markov processes. Zbl 1467.37080Korda, Milan; Henrion, Didier; Mezić, Igor 2 2021 Nonlinear network dynamics with consensus-dissensus bifurcation. Zbl 1467.37046Devriendt, Karel; Lambiotte, Renaud 2 2021 Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities. Zbl 1462.35332El Hajj, A.; Oussaily, A. 2 2021 Minimizing configurations for elastic surface energies with elastic boundaries. Zbl 1464.49029Palmer, Bennett; Pámpano, Álvaro 2 2021 Numerical study of Zakharov-Kuznetsov equations in two dimensions. Zbl 1464.35298Klein, Christian; Roudenko, Svetlana; Stoilov, Nikola 2 2021 Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds. Zbl 1466.37068Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof 2 2021 The microscopic derivation and well-posedness of the stochastic Keller-Segel equation. Zbl 1464.35363Huang, Hui; Qiu, Jinniao 2 2021 Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation. Zbl 1479.35684Lushnikov, Pavel M.; Silantyev, Denis A.; Siegel, Michael 1 2021 Cavity volume and free energy in many-body systems. Zbl 1479.82062Taylor, Jamie M.; Fai, Thomas G.; Virga, Epifanio G.; Zheng, Xiaoyu; Palffy-Muhoray, Peter 1 2021 Time-periodic planar fronts around an obstacle. Zbl 1476.35119Li, Linlin 1 2021 On the Boussinesq equations with non-monotone temperature profiles. Zbl 1476.35270Zillinger, Christian 1 2021 An intrinsic aggregation model on the special orthogonal group \(SO(3)\): well-posedness and collective behaviours. Zbl 1471.35289Fetecau, Razvan C.; Ha, Seung-Yeal; Park, Hansol 1 2021 Localised radial patterns on the free surface of a ferrofluid. Zbl 1476.35199Hill, Dan J.; Lloyd, David J. B.; Turner, Matthew R. 1 2021 Self-similarity in the Kepler-Heisenberg problem. Zbl 1481.70066Dods, Victor; Shanbrom, Corey 1 2021 The height invariant of a four-parameter semitoric system with two focus-focus singularities. Zbl 1469.37043Alonso, Jaume; Hohloch, Sonja 1 2021 On the stability of periodic waves for the cubic derivative NLS and the quintic NLS. Zbl 1462.35353Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas 1 2021 Strong solvability of a variational data assimilation problem for the primitive equations of large-scale atmosphere and Ocean dynamics. Zbl 1462.35406Korn, Peter 1 2021 Multi-spike patterns in the Gierer-Meinhardt system with a nonzero activator boundary flux. Zbl 1462.35032Gomez, Daniel; Wei, Juncheng 1 2021 Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics. Zbl 1468.76075Zhang, Yeyu; Smith, Leslie M.; Stechmann, Samuel N. 1 2021 Synchronization conditions of a mixed Kuramoto ensemble in attractive and repulsive couplings. Zbl 1467.82052Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun 1 2021 Fractional damping through restricted calculus of variations. Zbl 1477.70031Jiménez, Fernando; Ober-Blöbaum, Sina 1 2021 A uniqueness result for a simple superlinear eigenvalue problem. Zbl 1467.45001Herrmann, Michael; Matthies, Karsten 1 2021 Global bifurcation of anti-plane shear fronts. Zbl 1462.35052Chen, Robin Ming; Walsh, Samuel; Wheeler, Miles H. 1 2021 Two-parameter generalizations of Cauchy bi-orthogonal polynomials and integrable lattices. Zbl 1466.37054Chang, Xiang-Ke; Li, Shi-Hao; Tsujimoto, Satoshi; Yu, Guo-Fu 1 2021 Periodic solutions of stochastic differential equations driven by Lévy noises. Zbl 1470.60154Guo, Xiao-Xia; Sun, Wei 1 2021 Traveling wave solutions for a class of discrete diffusive SIR epidemic model. Zbl 1462.35130Zhang, Ran; Wang, Jinliang; Liu, Shengqiang 1 2021 Effect of discrete breathers on the specific heat of a nonlinear chain. Zbl 1467.37070Singh, Mohit; Morkina, Alina Y.; Korznikova, Elena A.; Dubinko, Volodymyr I.; Terentiev, Dmitry A.; Xiong, Daxing; Naimark, Oleg B.; Gani, Vakhid A.; Dmitriev, Sergey V. 1 2021 Stochastic SIR Lévy jump model with heavy-tailed increments. Zbl 1470.92338Privault, Nicolas; Wang, Liang 1 2021 Transformation cloaking in elastic plates. Zbl 1464.74097Golgoon, Ashkan; Yavari, Arash 1 2021 Optimal decay estimates for 2D Boussinesq equations with partial dissipation. Zbl 1462.35407Lai, Suhua; Wu, Jiahong; Xu, Xiaojing; Zhang, Jianwen; Zhong, Yueyuan 1 2021 A multiscale problem for viscous heat-conducting fluids in fast rotation. Zbl 1462.35404Del Santo, Daniele; Fanelli, Francesco; Sbaiz, Gabriele; Wróblewska-Kamińska, Aneta 1 2021 2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction. Zbl 1466.76010Flandoli, Franco; Pappalettera, Umberto 1 2021 Global regularity of the 2D HVBK equations. Zbl 1466.76008Jayanti, Pranava Chaitanya; Trivisa, Konstantina 1 2021 Dynamics of shadow system of a singular Gierer-Meinhardt system on an evolving domain. Zbl 1462.35033Kavallaris, Nikos I.; Barreira, Raquel; Madzvamuse, Anotida 1 2021 Global regularity for the 2D MHD and tropical climate model with horizontal dissipation. Zbl 07432990Paicu, Marius; Zhu, Ning 1 2021 A vector general nonlinear Schrödinger equation with \((m+n)\) components. Zbl 1437.35627Geng, Xianguo; Li, Ruomeng; Xue, Bo 24 2020 Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces. Zbl 1437.37104Klus, Stefan; Schuster, Ingmar; Muandet, Krikamol 14 2020 Rogue waves in the generalized derivative nonlinear Schrödinger equations. Zbl 1467.37063Yang, Bo; Chen, Junchao; Yang, Jianke 9 2020 On a predator-prey system with digestion delay and anti-predation strategy. Zbl 1445.34121Wang, Yang; Zou, Xingfu 8 2020 A geometric heat-flow theory of Lagrangian coherent structures. Zbl 1444.76099Karrasch, Daniel; Keller, Johannes 8 2020 Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry. Zbl 1467.37085Mezić, Igor 8 2020 Exotic localized vector waves in a two-component nonlinear wave system. Zbl 1440.37068Xu, Ling; Wang, Deng-Shan; Wen, Xiao-Yong; Jiang, Yao-Lin 7 2020 The regularized visible fold revisited. Zbl 1469.34029Kristiansen, K. Uldall 7 2020 Koopman operator spectrum for random dynamical systems. Zbl 1467.37084Črnjarić-Žic, Nelida; Maćešić, Senka; Mezić, Igor 7 2020 Implications of Kunita-Itô-Wentzell formula for \(k\)-forms in stochastic fluid dynamics. Zbl 1448.70059Bethencourt de Léon, Aythami; Holm, Darryl D.; Luesink, Erwin; Takao, So 6 2020 The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions. Zbl 1462.35372Zhang, Guoqiang; Yan, Zhenya 6 2020 Variational approach for learning Markov processes from time series data. Zbl 1437.37107Wu, Hao; Noé, Frank 5 2020 Singularity formation in fractional Burgers’ equations. Zbl 1443.35165Coclite, Giuseppe Maria; Dipierro, Serena; Maddalena, Francesco; Valdinoci, Enrico 4 2020 Spatially localized structures in lattice dynamical systems. Zbl 1440.37072Bramburger, Jason J.; Sandstede, Björn 4 2020 Phase separation in the advective Cahn-Hilliard equation. 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Sri; Perkowski, Nicolas 2 2020 Almost complete and equable heteroclinic networks. Zbl 1431.34058Ashwin, Peter; Castro, Sofia B. S. D.; Lohse, Alexander 2 2020 Prediction with expert advice: a PDE perspective. Zbl 1439.35484Drenska, Nadejda; Kohn, Robert V. 2 2020 Global dynamics of a novel delayed logistic equation arising from cell biology. Zbl 1448.92170Baker, Ruth E.; Röst, Gergely 2 2020 Response solution to ill-posed Boussinesq equation with quasi-periodic forcing of Liouvillean frequency. Zbl 1437.35017Wang, Fenfen; Cheng, Hongyu; Si, Jianguo 2 2020 Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems. Zbl 1443.37047Guzzo, Massimiliano; Efthymiopoulos, Christos; Paez, Rocío I. 2 2020 Asymptotic and stability dynamics of an HIV-1-cytotoxic T lymphocytes (CTL) chemotaxis model. 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Uria; Desroches, M.; Krupa, M.; Rodrigues, S. 2 2020 ...and 816 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,773 Authors 57 Wei, Juncheng 46 Geng, Xianguo 46 Ward, Michael J. 45 Yin, Zhaoyang 44 Ha, Seung-Yeal 42 Mu, Chunlai 38 Ashwin, Peter 38 Majda, Andrew J. 38 Titi, Edriss Saleh 37 Liu, Yue 36 Schneider, Guido 30 Guo, Boling 29 Holm, Darryl D. 29 Kühn, Christian 29 Pelinovsky, Dmitry Efimovich 29 Wang, Bixiang 28 Carrillo de la Plata, José Antonio 28 Degond, Pierre 28 Qiao, Zhijun 27 Marsden, Jerrold Eldon 27 Mezić, Igor 27 Mielke, Alexander 26 Scheel, Arnd 26 Stewart, Ian Nicholas 25 Guo, Shangjiang 25 Qu, Changzheng 25 Tian, Lixin 25 Zhou, Shouming 24 Klein, Christian 24 Liu, Meng 24 Saut, Jean-Claude 23 Betsch, Peter 23 de la Llave, Rafael 23 Li, Wan-Tong 23 Martín de Diego, David 23 Mitsotakis, Dimitrios E. 23 Shi, Junping 22 Kolokolnikov, Theodore 22 Kutz, J. 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