Homoclinic orbit in ODE on GAIM of the sine-Gordon equation

DOI10.1016/S0375-9601(99)00325-4zbMath0940.34032OpenAlexW1993273261MaRDI QIDQ1966890

Huang Debin, Zeng-Rong Liu, Zhen-Yuan Xu

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00325-4

zbMATH Keywords

sine-Gordon equation

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Infinite-dimensional dissipative dynamical systems (37L99)

Related Items (1)

Saddle-node bifurcations on approximate inertial manifolds for a driven wave equation

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Orbits homoclinic to resonances: The Hamiltonian case
• A new method of studying the dynamical behaviour of the sine-Gordon equation

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