Chaos and integrability in a nonlinear wave equation

DOI10.1007/BF02219194zbMath0802.34044OpenAlexW2141143082WikidataQ115392684 ScholiaQ115392684MaRDI QIDQ1319931

V. Pereyra

Publication date: 19 April 1994

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02219194

zbMATH Keywords

integrabilitynonintegrabilityquasi-periodicchaotic solutionsSine-Gordon equationFourier-sine expansionHamiltonian system of ODEsset of commuting first integrals

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Second-order nonlinear hyperbolic equations (35L70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Nonintegrability of some Hamiltonian systems, scattering and analytic continuation ⋮ On second-order differential equations with nonsmooth second member ⋮ Decay of solutions of a second order differential equation with non-smooth second member ⋮ An explicit finite-difference method for the approximate solutions of a generic class of anharmonic dissipative nonlinear media

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