Uniform attractor of impulse-perturbed reaction-diffusion system

Mathematics and Mechanics of Complex Systems(2023)

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摘要
The paper deals with the existence and invariance of uniform attractors of impulse perturbed reaction-diffusion system. Moments of impulsive perturbation are not fixed and are determined by the getting of trajectory into a given subset M of the phase space. At the moment of getting, the phase variable undergoes a fixed increment. It is proved that such a problem generates impulsive dynamical system that has the uniform attractor 0, and the set 0 \ M is invariant with respect to the semiflow.
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关键词
impulsive dynamical system, reaction-diffusion system, attractor
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