SOLITARY WAVES AND CHAOTIC BEHAVIOR FOR A CLASS OF COUPLED FIELD EQUATIONS

DOI10.1142/S021812740300687XzbMath1060.37047OpenAlexW2068964770MaRDI QIDQ4653803

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Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812740300687x

zbMATH Keywords

chaotic behaviorperiodic wave solutionsHamiltonian system with two degrees of freedomSolitary wave solutionscoupled field equations

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The existence of arbitrarily many distinct periodic orbits in a two degree of freedom Hamiltonian system
• Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
• Study of explicit analytic solutions for the nonlinear coupled scalar field equations

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