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.
"Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe." Abstr. Appl. Anal. 2013 (SI21) 1 - 11, 2013. https://doi.org/10.1155/2013/382592