STABILITY OF UNIFORM ATTRACTORS FOR ONE CLASS OF IMPULSIVE PARABOLIC SYSTEMS
Journal Title: Дослідження в математиці і механіці - Year 2018, Vol 23, Issue 2
Abstract
In this paper we consider weakly non-linear two-dimensional parabolic systems, whose solutions have jumps at moments of intersection with fixed (impulsive) subset of the phase space. It generates impulsive dynamical system which has minimal compact uniformly attracting set --- uniform attractor. Trajectories of the system can reach the impulsive set infinitely many times. In this case the uniform attractor has non-empty intersection with impulsive set. It is neither invariant nor stable with respect to the impulsive semi-flow. In the paper under some additional restrictions on the parameters invariance and stability of non-impulsive part of the attractor is proved.
Authors and Affiliations
O. V. Kapustyan, I. V. Romaniuk
Keywords
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- EP ID EP558791
- DOI 10.18524/2519-206x.2018.2(32).149702
- Views 97
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