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Poincaré map and periodic solutions of first-order impulsive differential equations on Moebius stripe - MaRDI portal

Poincaré map and periodic solutions of first-order impulsive differential equations on Moebius stripe (Q369905)

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scientific article; zbMATH DE number 6209275
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Poincaré map and periodic solutions of first-order impulsive differential equations on Moebius stripe
scientific article; zbMATH DE number 6209275

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    Poincaré map and periodic solutions of first-order impulsive differential equations on Moebius stripe (English)
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    19 September 2013
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    Summary: 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.
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