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, issue 1

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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https://doi.org/10.1155/2013/382592

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:382592

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