Abstract
In this article, we generalize the Poincaré recurrence theorem to impulsive dynamical systems in $\mathbb R^n$. For a measure preserving system, we present some sufficient conditions to establish an impulsive system that is also measure preserving. Then, two recurrence theorems are proved. Finally, we use two examples to illustrate our results.
Citation
Boyang Ding. Changming Ding. "Poincaré Recurrence Theorem in impulsive systems." Topol. Methods Nonlinear Anal. 49 (2) 577 - 585, 2017. https://doi.org/10.12775/TMNA.2016.091
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