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arXiv · 2108.07410

Estimate of the attractive velocity of attractors for some dynamical systems

Chunyan Zhao·Chengkui Zhong·Chunxiang Zhao
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Abstract

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.

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Chunyan Zhao, Chengkui Zhong, Chunxiang Zhao. 2021-08-17. Estimate of the attractive velocity of attractors for some dynamical systems. https://arxiv.org/abs/2108.07410

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