# 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} }

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.

#### One Citation

Existence of a polynomial attractor for the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity

- 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 the… Expand

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