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Top Articles

#TitleJournalYearCitations
1A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode DecompositionJournal of Nonlinear Science20151,044
2Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier AnalysesJournal of Nonlinear Science2012540
3Coupled nonlinear oscillators and the symmetries of animal gaitsJournal of Nonlinear Science1993428
4Time integration and discrete Hamiltonian systemsJournal of Nonlinear Science1996358
5Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear TheoryJournal of Nonlinear Science2002355
6Stability of the Camassa-Holm solitonsJournal of Nonlinear Science2002296
7Numerical integration of ordinary differential equations on manifoldsJournal of Nonlinear Science1993277
8Continuity Properties and Global Attractors of Generalized Semiflows and the Navier-Stokes EquationsJournal of Nonlinear Science1997259
9The dynamics ofn weakly coupled identical oscillatorsJournal of Nonlinear Science1992231
10Formation and Dynamics of Shock Waves in the Degasperis-Procesi EquationJournal of Nonlinear Science2007200
11On Convergence of Extended Dynamic Mode Decomposition to the Koopman OperatorJournal of Nonlinear Science2018196
12Locomotion of Articulated Bodies in a Perfect FluidJournal of Nonlinear Science2005195
13Data-Driven Model Reduction and Transfer Operator ApproximationJournal of Nonlinear Science2018192
14Robust heteroclinic cyclesJournal of Nonlinear Science1997183
15Poisson geometry of the filament equationJournal of Nonlinear Science1991176
16A one-dimensional model for dispersive wave turbulenceJournal of Nonlinear Science1997174
17The stress driven instability in elastic crystals: Mathematical models and physical manifestationsJournal of Nonlinear Science1993172
18Validity and Failure of the Cauchy-Born Hypothesis in a Two-Dimensional Mass-Spring LatticeJournal of Nonlinear Science2002172
19Variation of Lyapunov exponents on a strange attractorJournal of Nonlinear Science1991169
20Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential EquationsJournal of Nonlinear Science2019160
21Variational Approach for Learning Markov Processes from Time Series DataJournal of Nonlinear Science2020156
22Delay Embeddings for Forced Systems. I. Deterministic ForcingJournal of Nonlinear Science1999155
23The transition from bursting to continuous spiking in excitable membrane modelsJournal of Nonlinear Science1992153
24How Far Can Chemotactic Cross-diffusion Enforce Exceeding Carrying Capacities?Journal of Nonlinear Science2014152
25The membrane shell model in nonlinear elasticity: A variational asymptotic derivationJournal of Nonlinear Science1996141
26Local Lyapunov exponents computed from observed dataJournal of Nonlinear Science1992138
27Tendril Perversion in Intrinsically Curved RodsJournal of Nonlinear Science2002135
28Generalizing 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 SpeciesJournal of Nonlinear Science2011130
29On the integrability and perturbation of three-dimensional fluid flows with symmetryJournal of Nonlinear Science1994129
30Delay Embeddings for Forced Systems. II. Stochastic ForcingJournal of Nonlinear Science2003128
31Optimal Strokes for Low Reynolds Number Swimmers: An ExampleJournal of Nonlinear Science2008125
32A Mathematical Model of Intermittent Androgen Suppression for Prostate CancerJournal of Nonlinear Science2008125
33Topological analysis of chaotic time series data from the Belousov-Zhabotinskii reactionJournal of Nonlinear Science1991123
34Analysis of the Computational Singular Perturbation Reduction Method for Chemical KineticsJournal of Nonlinear Science2004123
35On the validity of the Ginzburg-Landau equationJournal of Nonlinear Science1991120
36Theory and Computation of Covariant Lyapunov VectorsJournal of Nonlinear Science2012118
37Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler EquationsJournal of Nonlinear Science2006113
38Continuous Data Assimilation Using General Interpolant ObservablesJournal of Nonlinear Science2014113
39Conserving algorithms for the dynamics of Hamiltonian systems on lie groupsJournal of Nonlinear Science1994112
40A Geometric Theory of Growth MechanicsJournal of Nonlinear Science2010112
41Singular Perturbation and the Energy of FoldsJournal of Nonlinear Science2000109
42Geometric Structures, Lobe Dynamics, and Lagrangian Transport in Flows with Aperiodic Time-Dependence, with Applications to Rossby Wave FlowJournal of Nonlinear Science1998106
43The Spectrum of the Partially Locked State for the Kuramoto ModelJournal of Nonlinear Science2007105
44Computing a closest bifurcation instability in multidimensional parameter spaceJournal of Nonlinear Science1993103
45Approximating the Stance Map of a 2-DOF Monoped RunnerJournal of Nonlinear Science2000103
46The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrödinger EquationJournal of Nonlinear Science2018103
47On the dynamics of fine structureJournal of Nonlinear Science1991101
48Constrained euler bucklingJournal of Nonlinear Science1997101
49Hopf Bifurcations and Oscillatory Instabilities of Spike Solutions for the One-Dimensional Gierer-Meinhardt ModelJournal of Nonlinear Science200398
50Dressing for a Novel Integrable Generalization of the Nonlinear Schrödinger EquationJournal of Nonlinear Science201098