Structure of the global attractor for a second order strongly damped lattice system

DOI10.1016/j.jmaa.2006.08.060zbMath1112.37075OpenAlexW1978621048MaRDI QIDQ879074

Shengfan Zhou, Hong-Yan Li

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.060

zbMATH Keywords

global attractorHausdorff dimensionrotation numberhorizontal curvelattice system

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Rotation numbers and vectors (37E45)

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Cites Work

• Global behavior in the dynamical equation
• Infinite-dimensional dynamical systems in mechanics and physics
• Attractor and dimension for discretization of a damped wave equation with periodic nonlinearity
• Unbounded one-dimensional global attractor for the damped sine-Gordon equation
• Dimension of the global attractor for the discretized damped sine-Gordon equation
• Unnamed Item

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