One-dimensional global attractor for the damped and driven sine-Gordon equation

DOI10.1007/BF02897436zbMath0906.35015OpenAlexW2075321402MaRDI QIDQ1392631

Shengfan Zhou, Shu Zhu, Min Qian

Publication date: 16 February 1999

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02897436

zbMATH Keywords

inertial manifoldhomogeneous Neumann boundary conditioncontinuous Josephson junctionsingle point junction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

One-dimensional random attractor and rotation number of the stochastic damped sine-Gordon equation ⋮ One-dimensional global attractor for strongly damped wave equations ⋮ Kinks and rotations in long Josephson junctions ⋮ ASYMPTOTIC DYNAMICS OF A CLASS OF COUPLED OSCILLATORS DRIVEN BY WHITE NOISES

Cites Work

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• Invariant manifolds for flows in Banach spaces
• Semigroups of linear operators and applications to partial differential equations
• Global behavior in the dynamical equation
• Infinite-dimensional dynamical systems in mechanics and physics
• Trend to spatial homogeneity for solutions to semilinear damped wave equations

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