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

الملخص EN

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.