BREATHER COMPETITION AND PULSE ORBITS IN THE DAMPED DRIVEN SINE–GORDON EQUATION

DOI10.1142/S0218127404010825zbMath1086.35092OpenAlexW1967020289MaRDI QIDQ4658985

Debin Huang

Publication date: 21 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/s0218127404010825

zbMATH Keywords

homoclinic orbitgeneralized asymptotic inertial manifoldpulse orbits

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Cites Work

• Unbounded one-dimensional global attractor for the damped sine-Gordon equation
• Singular Perturbation Theory for Homoclinic Orbits in a Class of Near- Integrable Dissipative Systems
• Correlations between Chaos in a Perturbed Sine-Gordon Equation and a Truncated Model System

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