Corpus ID: 237142514

Estimate of the attractive velocity of attractors for some dynamical systems

@inproceedings{Zhao2021EstimateOT,
  title={Estimate of the attractive velocity of attractors for some dynamical systems},
  author={Chunyan Zhao and Chengkui Zhong and Chunxiang Zhao},
  year={2021}
}
  • Chunyan Zhao, Chengkui Zhong, Chunxiang Zhao
  • Published 17 August 2021
  • Mathematics
In this paper, we first prove an abstract theorem on the existence of polynomial attractors and the concrete estimate of their attractive velocity for infinite-dimensional dynamical systems, then apply this theorem to a class of wave equations with nonlocal weak damping and anti-damping in case that the nonlinear term f is of subcritical growth. 
1 Citations
Existence of a polynomial attractor for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity
  • Chunyan Zhao, Chengkui Zhong, Senlin Yan
  • Mathematics
  • Applied Mathematics Letters
  • 2021
In this paper, we first establish a criterion based on contractive function for the existence of polynomial attractors. This criterion only involves some rather weak compactness associated with theExpand

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