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Attractors of dissipative soliton equation

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Publication:1338039
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DOI10.1007/BF02450770zbMath0811.35117MaRDI QIDQ1338039

Lixin Tian, Zhen-Yuan Xu, Zheng-Rong Liu

Publication date: 17 November 1994

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)


zbMATH Keywords

squeezing propertydynamic behaviorfractal dimension of attractor


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Soliton equations (35Q51)


Related Items (5)

Robustness of global attractors of singularly perturbed plate equations ⋮ The property of nonwandering operator ⋮ The research of longtime dynamic behavior in weakly damped forced KdV equation ⋮ The attractor for the two-dimensional weakly damped KdV equation in belt field ⋮ Wavelet approximate inertial manifold in nonlinear solitary wave equation



Cites Work

  • Unnamed Item
  • Inertial manifolds for nonlinear evolutionary equations
  • Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
  • Inertial manifolds: The non-self-adjoint case
  • Attractors for the Bénard problem: existence and physical bounds on their fractal dimension


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