## 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: 1,189 Publications (since 1991) References Indexed: 995 Publications with 38,132 References.
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### Latest Issues

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### Authors

 15 Holm, Darryl Dallas 13 Titi, Edriss Saleh 11 Majda, Andrew J. 9 Ashwin, Peter 8 Chossat, Pascal 8 Domokos, Gábor 8 Gay-Balmaz, François 8 Holmes, Philip J. 8 Kohn, Robert Vita 8 Pelinovsky, Dmitry Efimovich 8 Wei, Juncheng 8 Wu, Jiahong 7 Doelman, Arjen 7 Jiang, Daqing 7 Mezić, Igor 7 Scheel, Arnd 7 Schneider, Guido 7 M-Seara, Tere 7 Zenkov, Dmitry V. 6 Celletti, Alessandra 6 Chae, Dongho 6 Golubitsky, Martin A. 6 Kanso, Eva Adnan 6 Koltai, Péter 6 LeBlanc, Victor G. 6 Ratiu, Tudor Stefan 6 Sandstede, Björn 6 Stewart, Ian Nicholas 5 Bona, Jerry Lloyd 5 Degond, Pierre 5 Fokas, Athanassios S. 5 James, Richard D. 5 Kaper, Tasso J. 5 Klein, Christian 5 Klus, Stefan 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 Pérez-Chavela, Ernesto 5 Putkaradze, Vakhtang 5 Rowley, Clarence W. 5 Schütte, Christof 5 Shi, Donghua 5 Wiggins, Stephen 5 Yavari, Arash 5 Zhao, Xiao-Qiang 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 Geng, Xianguo 4 Grabovsky, Yury 4 Ha, Seung-Yeal 4 Hayat, Tasawar 4 Holcman, David 4 Kevrekidis, Ioannis George 4 Kevrekidis, Panayotis G. 4 Knobloch, Edgar 4 Krupa, Martin 4 Kühn, Christian 4 Lenells, Jonatan 4 Leok, Melvin 4 Li, Y. Charles 4 Liu, Meng 4 Liu, Qun 4 MacKay, Robert Sinclair 4 Murray, James Dickson 4 Niethammer, Barbara 4 Otto, Felix 4 Qi, Di 4 Rademacher, Jens Diederich Michael 4 Saut, Jean-Claude 4 Valls Anglés, Cláudia 4 Ward, Michael J. 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 Chow, Shui-Nee 3 Conlon, Joseph G. 3 Constantin, Adrian 3 de la Hoz, Francisco 3 De Luca, Lucia 3 Diacu, Florin Nicolae 3 Diamond, Phil ...and 1,835 more Authors
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### Fields

 504 Partial differential equations (35-XX) 459 Dynamical systems and ergodic theory (37-XX) 250 Fluid mechanics (76-XX) 235 Ordinary differential equations (34-XX) 189 Mechanics of particles and systems (70-XX) 186 Biology and other natural sciences (92-XX) 132 Mechanics of deformable solids (74-XX) 104 Numerical analysis (65-XX) 102 Statistical mechanics, structure of matter (82-XX) 92 Probability theory and stochastic processes (60-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 62 Systems theory; control (93-XX) 41 Differential geometry (53-XX) 29 Global analysis, analysis on manifolds (58-XX) 29 Optics, electromagnetic theory (78-XX) 28 Geophysics (86-XX) 27 Operator theory (47-XX) 15 Computer science (68-XX) 15 Operations research, mathematical programming (90-XX) 14 Integral equations (45-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Measure and integration (28-XX) 11 Difference and functional equations (39-XX) 11 Quantum theory (81-XX) 10 Statistics (62-XX) 9 Combinatorics (05-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Algebraic geometry (14-XX) 8 Convex and discrete geometry (52-XX) 8 Information and communication theory, circuits (94-XX) 7 Real functions (26-XX) 6 Functional analysis (46-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 General topology (54-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-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 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Potential theory (31-XX) 3 Astronomy and astrophysics (85-XX) 2 Topological groups, Lie groups (22-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)

### Citations contained in zbMATH Open

981 Publications have been cited 11,953 times in 9,644 Documents Cited by Year
Stability of the Camassa-Holm solitons. Zbl 1022.35053
Constantin, A.; Strauss, W. A.
2002
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.
2002
Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations. Zbl 0903.58020
Ball, J. M.
1997
A data-driven approximation of the koopman operator: extending dynamic mode decomposition. Zbl 1329.65310
Williams, Matthew O.; Kevrekidis, Ioannis G.; Rowley, Clarence W.
2015
Time integration and discrete Hamiltonian systems. Zbl 0866.58030
Gonzalez, O.
1996
Formation and dynamics of shock waves in the Degasperis-Procesi equation. Zbl 1185.35194
Lundmark, H.
2007
How far can chemotactic cross-diffusion enforce exceeding carrying capacities? Zbl 1311.35040
Winkler, Michael
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 1262.35203
Horstmann, Dirk
2011
Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses. Zbl 1259.35009
Chen, Kevin K.; Tu, Jonathan H.; Rowley, Clarence W.
2012
The dynamics of $$n$$ weakly coupled identical oscillators. Zbl 0872.58049
Ashwin, P.; Swift, J. W.
1992
The membrane shell model in nonlinear elasticity: A variational asymptotic derivation. Zbl 0844.73045
Le Dret, Hervé; Raoult, Annie
1996
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035
Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.
1997
Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice. Zbl 1084.74501
Friesecke, G.; Theil, F.
2002
Robust heteroclinic cycles. Zbl 0879.58054
Krupa, M.
1997
Numerical integration of ordinary differential equations on manifolds. Zbl 0798.34012
Crouch, P. E.; Grossman, R.
1993
Permanence of stochastic Lotka-Volterra systems. Zbl 1387.60106
Liu, Meng; Fan, Meng
2017
Bounds and new approaches for the 3D MHD equations. Zbl 1029.76062
Wu, Jiahong
2002
On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064
Li, W.-T.; Ruan, S.; Wang, Z.-C.
2007
On the blow-up of solutions of a periodic shallow water equation. Zbl 0960.35083
Constantin, A.
2000
Coupled nonlinear oscillators and the symmetries of animal gaits. Zbl 0808.92012
Collins, J. J.; Stewart, I. N.
1993
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
2019
Poisson geometry of the filament equation. Zbl 0795.35115
Langer, Joel; Perline, Ron
1991
Singular perturbation and the energy of folds. Zbl 0973.49009
Jin, W.; Kohn, R. V.
2000
The spectrum of the partially locked state for the Kuramoto model. Zbl 1119.37051
Mirollo, R.; Strogatz, S. H.
2007
Continuous data assimilation using general interpolant observables. Zbl 1291.35168
Azouani, Abderrahim; Olson, Eric; Titi, Edriss S.
2014
Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032
Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B.
2005
Dynamics of a two-prey one-predator system in random environments. Zbl 1279.92088
Liu, Meng; Wang, Ke
2013
Hopf bifurcations and oscillatory instabilities of spike solutions for the one-dimensional Gierer-Meinhardt model. Zbl 1030.35011
Ward, M. J.; Wei, J.
2003
On the validity of the Ginzburg-Landau equation. Zbl 0795.35112
van Harten, A.
1991
The transition from bursting to continuous spiking in excitable membrane models. Zbl 0900.92059
Terman, D.
1992
Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations. Zbl 1370.76015
Hou, Thomas Y.; Li, Ruo
2006
The $$n$$-body problem in spaces of constant curvature. I: Relative equilibria. Zbl 1247.70031
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
2012
Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case. Zbl 1141.35345
Wei, J.; Winter, M.
2001
Generalized Hopf bifurcation for planar Filippov systems continuous at the origin. Zbl 1104.37031
Zou, Y.; Kupper, T.; Beyn, W.-J.
2006
Spatial dynamics of a nonlocal dispersal population model in a shifting environment. Zbl 1394.35240
Li, Wan-Tong; Wang, Jia-Bing; Zhao, Xiao-Qiang
2018
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325
Geng, Xianguo; Liu, Huan
2018
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.
2009
Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024
Liang, D.; Wu, J.
2003
Conserving algorithms for the dynamics of Hamiltonian systems on Lie groups. Zbl 0799.58069
Lewis, Debra; Simo, J. C.
1994
Macroscopic limits and phase transition in a system of self-propelled particles. Zbl 1275.35019
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo
2013
On the integrability and perturbation of three-dimensional fluid flows with symmetry. Zbl 0796.76021
Mezić, I.; Wiggins, S.
1994
A theoretical approach to understanding population dynamics with seasonal developmental durations. Zbl 1384.37116
Lou, Yijun; Zhao, Xiao-Qiang
2017
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.
2013
Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations. Zbl 1177.35152
Kalantarov, Varga K.; Levant, Boris; Titi, Edriss S.
2009
Optimal strokes for low Reynolds number swimmers: an example. Zbl 1146.76062
Alouges, François; DeSimone, Antonio; Lefebvre, Aline
2008
Analysis of the computational singular perturbation reduction method for chemical kinetics. Zbl 1053.92051
Zagaris, A.; Kaper, H. G.; Kaper, T. J.
2004
A mathematical model of intermittent androgen suppression for prostate cancer. Zbl 1172.92021
Ideta, Aiko Miyamura; Tanaka, Gouhei; Takeuchi, Takumi; Aihara, Kazuyuki
2008
Optimal harvesting of a stochastic logistic model with time delay. Zbl 1329.60186
Liu, Meng; Bai, Chuanzhi
2015
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
2004
Centre manifold reduction for quasilinear discrete systems. Zbl 1185.37158
James, G.
2003
Global existence for rate-independent gradient plasticity at finite strain. Zbl 1173.49013
Mainik, Andreas; Mielke, Alexander
2009
A geometric theory of growth mechanics. Zbl 1428.74157
Yavari, Arash
2010
Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition. Zbl 1335.35120
Guo, Shangjiang; Ma, Li
2016
On the dynamics of fine structure. Zbl 0791.35030
Ball, J. M.; Holmes, P. J.; James, R. D.; Pego, R. L.; Swart, P. J.
1991
Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain. Zbl 1178.35039
Kolokolnikov, T.; Ward, M. J.; Wei, J.
2009
On convergence of extended dynamic mode decomposition to the Koopman operator. Zbl 1457.37103
Korda, Milan; Mezić, Igor
2018
A predator-prey model with a Holling type I functional response including a predator mutual interference. Zbl 1238.92049
Seo, Gunog; DeAngelis, Donald L.
2011
The $$n$$-body problem in spaces of constant curvature. II: Singularities. Zbl 1247.70029
Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele
2012
Some curious phenomena in coupled cell networks. Zbl 1136.37359
Golubitsky, M.; Nicol, M.; Stewart, I.
2004
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
2018
Quasi-neutral limit for Euler-Poisson system. Zbl 0997.34033
Slemrod, M.; Sternberg, N.
2001
Scaling laws in microphase separation of diblock copolymers. Zbl 1023.82015
Choksi, R.
2001
Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems. Zbl 1271.34071
Chen, Shanshan; Shi, Junping; Wei, Junjie
2013
On the persistence of lower dimensional invariant tori under quasi-periodic perturbations. Zbl 0898.58044
Jorba, À.; Villanueva, J.
1997
A constructive approach to traveling waves in chemotaxis. Zbl 1063.35071
Horstmann, D.; Stevens, A.
2004
On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions. Zbl 1348.35171
Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio
2016
Wave breaking of the Camassa-Holm equation. Zbl 1247.35104
Jiang, Zaihong; Ni, Lidiao; Zhou, Yong
2012
Epitaxial growth without slope selection: energetics, coarsening, and dynamic scaling. Zbl 1123.35327
Li, Bo; Liu, Jian-Guo
2004
Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. Zbl 1254.37053
Aguiar, M.; Ashwin, P.; Dias, A.; Field, M.
2011
New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems. Zbl 1151.82364
Abramov, Rafail V.; Majda, Andrew J.
2008
A vector general nonlinear Schrödinger equation with $$(m+n)$$ components. Zbl 1437.35627
Geng, Xianguo; Li, Ruomeng; Xue, Bo
2020
Integrators for nonholonomic mechanical systems. Zbl 1104.37043
McLachlan, R.; Perlmutter, M.
2006
Analysis of a general family of regularized Navier-Stokes and MHD models. Zbl 1207.35241
Holst, Michael; Lunasin, Evelyn; Tsogtgerel, Gantumur
2010
Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems. Zbl 1242.35147
Wang, Haiyan
2011
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
2016
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations. Zbl 1253.35150
Klein, Christian; Saut, Jean-Claude
2012
Local Lyapunov exponents computed from observed data. Zbl 0802.58041
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
1992
Families of periodic solutions of resonant PDEs. Zbl 0994.37040
Bambusi, Dario; Paleari, Simone
2001
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
2018
Nonlinear propagation of light in one-dimensional periodic structures. Zbl 1005.78011
Goodman, R. H.; Weinstein, M. I.; Holmes, P. J.
2001
Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems. Zbl 1051.37031
Delshams, A.; Gutiérrez, P.
2000
Integrable systems in three-dimensional Riemannian geometry. Zbl 1140.37361
Marí Beffa, Gloria; Sanders, J. A.; Wang, Jing Ping
2002
The Sobolev stability threshold for 2D shear flows near Couette. Zbl 1403.35228
Bedrossian, Jacob; Vicol, Vlad; Wang, Fei
2018
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.
2000
The dressing method and nonlocal Riemann-Hilbert problems. Zbl 0872.58032
Fokas, A. S.; Zakharov, V. E.
1992
Nonconstant positive steady states and pattern formation of 1D prey-taxis systems. Zbl 1368.92160
Wang, Qi; Song, Yang; Shao, Lingjie
2017
Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow. Zbl 0993.37034
Malhotra, N.; Wiggins, S.
1998
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
2007
Variation of Lyapunov exponents on a strange attractor. Zbl 0797.58053
Abarbanel, H. D. I.; Brown, R.; Kennel, M. B.
1991
Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach. Zbl 1300.35116
Barbu, Viorel; Röckner, Michael; Zhang, Deng
2014
Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029
Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S.
2000
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
2007
Theory and computation of covariant Lyapunov vectors. Zbl 1301.37065
Kuptsov, Pavel V.; Parlitz, Ulrich
2012
Transport in 3D volume-preserving flows. Zbl 0805.58037
MacKay, R. S.
1994
Solution properties of a 3D stochastic Euler fluid equation. Zbl 1433.60051
Crisan, Dan; Flandoli, Franco; Holm, Darryl D.
2019
On soccer balls and linearized inverse statistical mechanics. Zbl 1302.82032
von Brecht, James H.; Uminsky, David
2012
Global smooth solutions to the $$n$$-dimensional damped models of incompressible fluid mechanics with small initial datum. Zbl 1311.35236
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan
2015
Topological analysis of chaotic time series data from the Belousov- Zhabotinskii reaction. Zbl 0797.58057
Mindlin, G. B.; Solari, H. G.; Natiello, M. A.; Gilmore, R.; Hou, X.-J.
1991
Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE’s. Zbl 0954.35145
Forest, M. G.; McLaughlin, D. W.; Muraki, D. J.; Wright, O. C.
2000
Continuous data assimilation for a 2D Bénard convection system through horizontal velocity measurements alone. Zbl 1365.35108
Farhat, Aseel; Lunasin, Evelyn; Titi, Edriss S.
2017
Nanoptera in higher-order nonlinear Schrödinger equations: effects of discretization. Zbl 07628873
Moston-Duggan, Aaron J.; Porter, Mason A.; Lustri, Christopher J.
2023
Finite-data error bounds for Koopman-based prediction and control. Zbl 07628875
Nüske, Feliks; Peitz, Sebastian; Philipp, Friedrich; Schaller, Manuel; Worthmann, Karl
2023
The complete classification of solutions to the Riemann problem of the defocusing complex modified KdV equation. Zbl 1486.37034
Wang, Deng-Shan; Xu, Ling; Xuan, Zuxing
2022
Accelerated optimization on Riemannian manifolds via discrete constrained variational integrators. Zbl 1493.90225
Duruisseaux, Valentin; Leok, Melvin
2022
Dynamic mode decomposition for continuous time systems with the Liouville operator. Zbl 1497.37108
Rosenfeld, Joel A.; Kamalapurkar, Rushikesh; Gruss, L. Forest; Johnson, Taylor T.
2022
Well-posedness of Hibler’s dynamical sea-ice model. Zbl 07531473
Liu, Xin; Thomas, Marita; Titi, Edriss S.
2022
Pattern transformation in higher-order lumps of the Kadomtsev-Petviashvili I equation. Zbl 1498.35058
Yang, Bo; Yang, Jianke
2022
Landscape analysis for shallow neural networks: complete classification of critical points for affine target functions. Zbl 1491.68179
Cheridito, Patrick; Jentzen, Arnulf; Rossmannek, Florian
2022
Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction. Zbl 07451425
Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael
2022
On well-posedness and decay of strong solutions for 3D incompressible smectic-A liquid crystal flows. Zbl 1502.35138
Zhao, Xiaopeng; Zhou, Yong
2022
A $$\bar{\partial}$$-steepest descent method for oscillatory Riemann-Hilbert problems. Zbl 1486.37035
Wang, Fudong; Ma, Wen-Xiu
2022
Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs. Zbl 1480.35022
Ishii, Yuta
2022
Finite-dimensionality of tempered random uniform attractors. Zbl 1487.37091
Cui, Hongyong; Cunha, Arthur C.; Langa, José A.
2022
Limit sets of discontinuous vector fields on two-dimensional manifolds. Zbl 07468888
Euzébio, Rodrigo D.; Jucá, Joaby S.
2022
Optimal harvesting of stochastic population models with periodic coefficients. Zbl 1480.92172
Liu, Meng
2022
Complex periodic bursting structures in the Rayleigh-van der Pol-Duffing oscillator. Zbl 1496.37045
Ma, Xindong; Bi, Qinsheng; Wang, Lifeng
2022
Stationary distribution, extinction and probability density function of a stochastic vegetation-water model in arid ecosystems. Zbl 1496.37097
Zhou, Baoquan; Han, Bingtao; Jiang, Daqing; Hayat, Tasawar; Alsaedi, Ahmed
2022
A family of non-monotonic toral mixing maps. Zbl 1496.37002
Hill, J. Myers; Sturman, R.; Wilson, M. C. T.
2022
Microscopical justification of solid-state wetting and dewetting. Zbl 1489.82023
Piovano, Paolo; Velčić, Igor
2022
Platonic solids and symmetric solutions of the $$N$$-vortex problem on the sphere. Zbl 07512313
García-Azpeitia, Carlos; García-Naranjo, Luis C.
2022
Nonintegrability of nearly integrable dynamical systems near resonant periodic orbits. Zbl 1497.37063
Yagasaki, Kazuyuki
2022
Non-autonomous differential systems with delays: a global attraction analysis. Zbl 1500.34058
Ruiz-Herrera, Alfonso
2022
Secondary flows from a linear array of vortices perturbed principally by a Fourier mode. Zbl 1491.35312
Chen, Zhi-Min
2022
Rigorous analysis and dynamics of Hibler’s sea ice model. Zbl 1492.35348
Brandt, Felix; Disser, Karoline; Haller-Dintelmann, Robert; Hieber, Matthias
2022
Existence and multiplicity of wave trains in a 2D diatomic face-centered lattice. Zbl 1498.37113
Zhang, Ling; Guo, Shangjiang
2022
The nonsmooth dynamics of combined slip and spin motion under dry friction. Zbl 07542707
Antali, Mate; Varkonyi, Peter L.
2022
Vortex pairs and dipoles on closed surfaces. Zbl 1494.76023
Gustafsson, Björn
2022
Four symmetries of the KdV equation. Zbl 1492.35284
Rasin, Alexander G.; Schiff, Jeremy
2022
Inadequacy of linear methods for minimal sensor placement and feature selection in nonlinear systems: a new approach using secants. Zbl 07570751
Otto, Samuel E.; Rowley, Clarence W.
2022
Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems. Zbl 07590571
Antown, Fadi; Froyland, Gary; Galatolo, Stefano
2022
The finite-time blow-up for semilinear fractional diffusion equations with time $$\psi$$-Caputo derivative. Zbl 1498.35109
Li, Changpin; Li, Zhiqiang
2022
Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three. Zbl 1498.35133
2022
Morrey’s conjecture for the planar volumetric-isochoric split: least rank-one convex energy functions. Zbl 1497.74004
Voss, Jendrik; Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio
2022
Stochastic port-Hamiltonian systems. Zbl 07598964
Cordoni, Francesco; Di Persio, Luca; Muradore, Riccardo
2022
Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. Zbl 1476.35252
Zhang, Guoqiang; Ling, Liming; Yan, Zhenya
2021
Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation. Zbl 1472.35089
Rao, Jiguang; Fokas, Athanassios S.; He, Jingsong
2021
The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian. Zbl 1471.35302
Li, Changpin; Li, Zhiqiang
2021
On the geometry of discrete contact mechanics. Zbl 1464.37082
Anahory Simoes, Alexandre; Martín de Diego, David; Lainz Valcázar, Manuel; de León, Manuel
2021
Optimal decay estimates for 2D Boussinesq equations with partial dissipation. Zbl 1462.35407
Lai, Suhua; Wu, Jiahong; Xu, Xiaojing; Zhang, Jianwen; Zhong, Yueyuan
2021
Modulational instability of periodic standing waves in the derivative NLS equation. Zbl 1477.35235
Chen, Jinbing; Pelinovsky, Dmitry E.; Upsal, Jeremy
2021
Vortex patches choreography for active scalar equations. Zbl 1476.35187
García, Claudia
2021
Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems. Zbl 1477.35281
Chen, Li; Daus, Esther S.; Holzinger, Alexandra; Jüngel, Ansgar
2021
Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction. Zbl 1476.35035
Ambrose, David M.; Mazzucato, Anna L.
2021
Spontaneous periodic orbits in the Navier-Stokes flow. Zbl 1475.35247
van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; van Veen, Lennaert
2021
Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation. Zbl 1469.34019
Li, Changpin; Li, Zhiqiang
2021
Coexistence, extinction, and optimal harvesting in discrete-time stochastic population models. Zbl 1466.92145
Hening, Alexandru
2021
An intrinsic aggregation model on the special orthogonal group $$SO(3)$$: well-posedness and collective behaviours. Zbl 1471.35289
Fetecau, Razvan C.; Ha, Seung-Yeal; Park, Hansol
2021
Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations. Zbl 1472.34086
Bates, Peter W.; Wen, Zhenshu; Zhang, Mingji
2021
Stochastic wave-current interaction in thermal shallow water dynamics. Zbl 1468.76014
Holm, Darryl D.; Luesink, Erwin
2021
Phytoplankton competition for nutrients and light in a stratified lake: a mathematical model connecting epilimnion and hypolimnion. Zbl 1470.92268
Zhang, Jimin; Kong, Jude D.; Shi, Junping; Wang, Hao
2021
Nonlinear theory for coalescing characteristics in multiphase Whitham modulation theory. Zbl 1476.37086
Bridges, Thomas J.; Ratliff, Daniel J.
2021
Traveling wave solutions for a class of discrete diffusive SIR epidemic model. Zbl 1462.35130
Zhang, Ran; Wang, Jinliang; Liu, Shengqiang
2021
Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds. Zbl 1466.37068
Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof
2021
Impact of state-dependent dispersal on disease prevalence. Zbl 1478.34057
Gao, Daozhou; Lou, Yuan
2021
Sensitivity analysis for the 2D Navier-Stokes equations with applications to continuous data assimilation. Zbl 1490.35248
2021
Multi-spike patterns in the Gierer-Meinhardt system with a nonzero activator boundary flux. Zbl 1462.35032
Gomez, Daniel; Wei, Juncheng
2021
Scaling limits for the generalized Langevin equation. Zbl 1473.35057
Pavliotis, G. A.; Stoltz, G.; Vaes, U.
2021
Convex computation of extremal invariant measures of nonlinear dynamical systems and Markov processes. Zbl 1467.37080
Korda, Milan; Henrion, Didier; Mezić, Igor
2021
Minimizing configurations for elastic surface energies with elastic boundaries. Zbl 1464.49029
Palmer, Bennett; Pámpano, Álvaro
2021
2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction. Zbl 1466.76010
Flandoli, Franco; Pappalettera, Umberto
2021
Dynamics of shadow system of a singular Gierer-Meinhardt system on an evolving domain. Zbl 1462.35033
Kavallaris, Nikos I.; Barreira, Raquel; Madzvamuse, Anotida
2021
Diffusivity estimation for activator-inhibitor models: theory and application to intracellular dynamics of the actin cytoskeleton. Zbl 1469.60207
Pasemann, Gregor; Flemming, Sven; Alonso, Sergio; Beta, Carsten; Stannat, Wilhelm
2021
On the Boussinesq equations with non-monotone temperature profiles. Zbl 1476.35270
Zillinger, Christian
2021
Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source. Zbl 1471.35004
Zhou, Jun; Zhang, Huan
2021
Relaxation limit from the quantum Navier-Stokes equations to the quantum drift-diffusion equation. Zbl 1479.35598
2021
Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation. Zbl 1479.35684
Lushnikov, Pavel M.; Silantyev, Denis A.; Siegel, Michael
2021
Time-periodic planar fronts around an obstacle. Zbl 1476.35119
Li, Linlin
2021
Steady-state bifurcation of a non-parallel flow involving energy dissipation over a Hartmann boundary layer. Zbl 1476.35028
Chen, Zhi-Min
2021
Relaxation to fractional porous medium equation from Euler-Riesz system. Zbl 1480.76118
Choi, Young-Pil; Jeong, In-Jee
2021
A local-in-time theory for singular SDEs with applications to fluid models with transport noise. Zbl 1477.60105
Alonso-Orán, Diego; Rohde, Christian; Tang, Hao
2021
Instability of static solutions of the sine-Gordon equation on a $$\mathcal{Y}$$-junction graph with $$\delta$$-interaction. Zbl 1462.35326
Angulo Pava, Jaime; Plaza, Ramón G.
2021
Spatially quasi-periodic water waves of infinite depth. Zbl 1462.76030
Wilkening, Jon; Zhao, Xinyu
2021
On the stability of periodic waves for the cubic derivative NLS and the quintic NLS. Zbl 1462.35353
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2021
Synchronization conditions of a mixed Kuramoto ensemble in attractive and repulsive couplings. Zbl 1467.82052
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun
2021
Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation. Zbl 1462.35478
Scarpa, Luca
2021
Fractional damping through restricted calculus of variations. Zbl 1477.70031
Jiménez, Fernando; Ober-Blöbaum, Sina
2021
Periodic solutions of stochastic differential equations driven by Lévy noises. Zbl 1470.60154
Guo, Xiao-Xia; Sun, Wei
2021
Effect of discrete breathers on the specific heat of a nonlinear chain. Zbl 1467.37070
Singh, Mohit; Morkina, Alina Y.; Korznikova, Elena A.; Dubinko, Volodymyr I.; Terentiev, Dmitry A.; Xiong, Daxing; Naimark, Oleg B.; Gani, Vakhid A.; Dmitriev, Sergey V.
2021
Stochastic SIR Lévy jump model with heavy-tailed increments. Zbl 1470.92338
Privault, Nicolas; Wang, Liang
2021
Nonlinear network dynamics with consensus-dissensus bifurcation. Zbl 1467.37046
Devriendt, Karel; Lambiotte, Renaud
2021
Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities. Zbl 1462.35332
El Hajj, A.; Oussaily, A.
2021
Numerical study of Zakharov-Kuznetsov equations in two dimensions. Zbl 1464.35298
Klein, Christian; Roudenko, Svetlana; Stoilov, Nikola
2021
Global regularity of the 2D HVBK equations. Zbl 1466.76008
Jayanti, Pranava Chaitanya; Trivisa, Konstantina
2021
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation. Zbl 1464.35363
Huang, Hui; Qiu, Jinniao
2021
Compactness and sharp lower bound for a 2D smectics model. Zbl 1472.35143
Novack, Michael; Yan, Xiaodong
2021
Stability of elliptic solutions to the sinh-Gordon equation. Zbl 1472.35040
Sun, Wen-Rong; Deconinck, Bernard
2021
Remarks on type I blow-up for the 3D Euler equations and the 2D Boussinesq equations. Zbl 1476.35184
Chae, Dongho; Constantin, Peter
2021
Localised radial patterns on the free surface of a ferrofluid. Zbl 1476.35199
Hill, Dan J.; Lloyd, David J. B.; Turner, Matthew R.
2021
The existence of solutions for a free boundary problem modeling the spread of ecosystem engineers. Zbl 1479.35871
Basiri, Maryam; Lutscher, Frithjof; Moameni, Abbas
2021
Cavity volume and free energy in many-body systems. Zbl 1479.82062
Taylor, Jamie M.; Fai, Thomas G.; Virga, Epifanio G.; Zheng, Xiaoyu; Palffy-Muhoray, Peter
2021
Global regularity for the 2D MHD and tropical climate model with horizontal dissipation. Zbl 07432990
Paicu, Marius; Zhu, Ning
2021
Vortex motion of the Euler and lake equations. Zbl 1470.37080
Yang, Cheng
2021
Self-similarity in the Kepler-Heisenberg problem. Zbl 1481.70066
Dods, Victor; Shanbrom, Corey
2021
The height invariant of a four-parameter semitoric system with two focus-focus singularities. Zbl 1469.37043
Alonso, Jaume; Hohloch, Sonja
2021
Strong solvability of a variational data assimilation problem for the primitive equations of large-scale atmosphere and Ocean dynamics. Zbl 1462.35406
Korn, Peter
2021
Fast-wave averaging with phase changes: asymptotics and application to moist atmospheric dynamics. Zbl 1468.76075
Zhang, Yeyu; Smith, Leslie M.; Stechmann, Samuel N.
2021
An incompressible polymer fluid interacting with a Koiter shell. Zbl 1464.76021
Breit, Dominic; Mensah, Prince Romeo
2021
A uniqueness result for a simple superlinear eigenvalue problem. Zbl 1467.45001
Herrmann, Michael; Matthies, Karsten
2021
Global bifurcation of anti-plane shear fronts. Zbl 1462.35052
Chen, Robin Ming; Walsh, Samuel; Wheeler, Miles H.
2021
Two-parameter generalizations of Cauchy bi-orthogonal polynomials and integrable lattices. Zbl 1466.37054
Chang, Xiang-Ke; Li, Shi-Hao; Tsujimoto, Satoshi; Yu, Guo-Fu
2021
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### Cited by 10,777 Authors

 60 Wei, Juncheng 54 Geng, Xianguo 50 Ward, Michael J. 47 Ha, Seung-Yeal 45 Mu, Chunlai 45 Yin, Zhaoyang 41 Liu, Yue 40 Titi, Edriss Saleh 38 Ashwin, Peter 38 Majda, Andrew J. 37 Schneider, Guido 35 Pelinovsky, Dmitry Efimovich 34 Guo, Boling 33 Kühn, Christian 32 Holm, Darryl Dallas 31 Degond, Pierre 30 Carrillo de la Plata, José Antonio 30 Wang, Bixiang 29 Qiao, Zhijun 28 Guo, Shangjiang 28 Mezić, Igor 28 Scheel, Arnd 27 Jiang, Daqing 27 Marsden, Jerrold Eldon 27 Mielke, Alexander 27 Qu, Changzheng 27 Stewart, Ian Nicholas 26 Kolokolnikov, Theodore 26 Li, Wan-Tong 26 Martín de Diego, David 26 Tian, Lixin 26 Zhou, Shouming 25 de la Llave, Rafael 25 Liu, Meng 24 Klein, Christian 24 Mireles-James, Jason D. 24 Mitsotakis, Dimitrios E. 24 Saut, Jean-Claude 24 Shi, Junping 24 Stefanelli, Ulisse 23 Betsch, Peter 23 Llibre, Jaume 23 Winkler, Michael 23 Wu, Jiahong 22 Gal, Ciprian Gheorghe Sorin 22 Kevrekidis, Panayotis G. 22 Kutz, J. Nathan 21 Brunton, Steven L. 21 Grasselli, Maurizio 21 Hayat, Tasawar 21 Liu, Jianguo 21 Wiggins, Stephen 20 Kevrekidis, Ioannis George 20 Li, Yong 20 Mariano, Paolo Maria 20 Wu, Shiliang 20 Zhao, Xiao-Qiang 19 Borisov, Alekseĭ Vladimirovich 19 Conti, Sergio 19 Cung The Anh 19 García-Naranjo, Luis C. 19 Hou, Thomas Yizhao 19 Jentzen, Arnulf 19 Jolly, Michael Summerfield 19 Kalisch, Henrik 19 Pérez-Chavela, Ernesto 19 Wechselberger, Martin 19 Yavari, Arash 19 Zhang, Wei 19 Zheng, Pan 18 Aihara, Kazuyuki 18 Bloch, Anthony Michael 18 Diacu, Florin Nicolae 18 Doelman, Arjen 18 Gay-Balmaz, François 18 Goriely, Alain 18 Mamaev, Ivan Sergeevich 18 Shen, Wenxian 18 Winter, Matthias 17 Aguiar, Manuela A. D. 17 Bona, Jerry Lloyd 17 Celletti, Alessandra 17 Ciarlet, Philippe Gaston 17 Lenells, Jonatan 17 Ren, Xiaofeng 17 M-Seara, Tere 17 Truskinovsky, Lev 17 Wang, Shu 16 Delshams, Amadeu 16 Dias, Ana Paula S. 16 Fan, Engui 16 Kanso, Eva Adnan 16 Mardare, Cristinel 16 Sapsis, Themistoklis P. 16 Schmidt, Bernd 16 Song, Yongli 16 Stépán, Gábor 16 Vidal, Claudio 16 Xue, Bo 15 Cicalese, Marco ...and 10,677 more Authors
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### Cited in 572 Journals

 536 Physica D 409 Journal of Differential Equations 394 Journal of Nonlinear Science 239 Chaos 225 Journal of Mathematical Analysis and Applications 212 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 191 SIAM Journal on Applied Dynamical Systems 183 Journal of Mathematical Physics 173 Archive for Rational Mechanics and Analysis 165 Discrete and Continuous Dynamical Systems. Series B 162 Nonlinearity 161 Journal of Fluid Mechanics 151 Journal of Computational Physics 140 Communications in Nonlinear Science and Numerical Simulation 132 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 132 Nonlinear Analysis. Real World Applications 127 Discrete and Continuous Dynamical Systems 120 Chaos, Solitons and Fractals 110 Nonlinear Dynamics 108 Applied Mathematics and Computation 106 Communications in Mathematical Physics 105 SIAM Journal on Mathematical Analysis 102 ZAMP. Zeitschrift für angewandte Mathematik und Physik 98 Journal of Dynamics and Differential Equations 90 Journal of Statistical Physics 90 Applied Mathematics Letters 90 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 83 Journal of Mathematical Biology 81 Regular and Chaotic Dynamics 69 Applicable Analysis 69 Calculus of Variations and Partial Differential Equations 68 Computer Methods in Applied Mechanics and Engineering 67 SIAM Journal on Applied Mathematics 61 Journal of Elasticity 56 Journal of Geometry and Physics 54 Journal of Computational and Applied Mathematics 53 Journal of Mathematical Fluid Mechanics 51 Physica A 51 Journal de Mathématiques Pures et Appliquées. Neuvième Série 50 Journal of Nonlinear Mathematical Physics 49 Dynamical Systems 48 Mathematical Methods in the Applied Sciences 48 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 47 Bulletin of Mathematical Biology 47 European Journal of Applied Mathematics 47 Physics of Fluids 46 Discrete and Continuous Dynamical Systems. Series S 45 Journal of the Mechanics and Physics of Solids 44 Mathematics and Computers in Simulation 43 Celestial Mechanics and Dynamical Astronomy 42 Communications on Pure and Applied Analysis 42 Journal of Theoretical Biology 41 Studies in Applied Mathematics 41 Communications in Partial Differential Equations 40 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 39 Physics Letters. A 38 Journal of Scientific Computing 37 Journal of Functional Analysis 37 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 37 Mathematical Biosciences and Engineering 36 Transactions of the American Mathematical Society 36 Applied Numerical Mathematics 35 Computers & Mathematics with Applications 35 Wave Motion 35 Journal of Geometric Mechanics 34 SIAM Journal on Scientific Computing 34 Qualitative Theory of Dynamical Systems 34 Comptes Rendus. Mathématique. Académie des Sciences, Paris 34 Advances in Difference Equations 33 Mathematics and Mechanics of Solids 33 Multiscale Modeling & Simulation 32 Applied Mathematical Modelling 31 Acta Applicandae Mathematicae 30 Theoretical and Mathematical Physics 30 NoDEA. Nonlinear Differential Equations and Applications 28 Automatica 28 Proceedings of the American Mathematical Society 28 Abstract and Applied Analysis 28 European Journal of Mechanics. B. Fluids 28 Journal of Evolution Equations 27 International Journal for Numerical Methods in Engineering 27 Quarterly of Applied Mathematics 27 Mathematical Problems in Engineering 25 Boundary Value Problems 23 Acta Mechanica 23 Numerische Mathematik 23 Journal of Computational Dynamics 22 Communications on Pure and Applied Mathematics 22 Advances in Mathematics 22 Continuum Mechanics and Thermodynamics 22 Advances in Mathematical Physics 22 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 21 International Journal of Biomathematics 21 Evolution Equations and Control Theory 20 Mathematical Biosciences 20 Monatshefte für Mathematik 20 SIAM Journal on Numerical Analysis 20 Chinese Annals of Mathematics. Series B 20 Journal of Physics A: Mathematical and Theoretical 19 Mathematics of Computation ...and 472 more Journals
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### Cited in 61 Fields

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