On the existence of discontinuous periodic solutions for a class of Liénard systems with impulses

Fangfang Jiang and Jitao Sun

Applied Mathematics and Computation, 2016, vol. 291, issue C, 259-265

Abstract: In this paper, we investigate the existence of discontinuous periodic solutions for a class of Liénard systems with state impulses, whose solutions are interrupted by abrupt changes of state. By employing Poincaré mapping method, a criterion for the existence of at least one discontinuous periodic solution in the impulsive Liénard systems is established. Finally, we give an example to illustrate the effectiveness of our result, and the corresponding numerical simulation is presented to show that there is a good agreement between our theoretical result with the computer numerical analysis.

Keywords: Impulse; Liénard system; Discontinuous periodic solution; Existence (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:291:y:2016:i:c:p:259-265

DOI: 10.1016/j.amc.2016.07.004

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