Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe

Yefeng He and Yepeng Xing

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

Abstract:

This paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe. Some sufficient conditions are obtained to ensure the existence and stability of one-side periodic orbit and two-side periodic orbit of impulsive differential equations on Moebius stripe by employing displacement functions. Furthermore, double-periodic bifurcation is also studied by using Poincaré map.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:382592

DOI: 10.1155/2013/382592

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