Displaying similar documents to “Existence of periodic solutions of impulsive differential systems.”

Second order nonlinear differential equations with linear impulse and periodic boundary conditions

Aydin Huseynov (2011)

Applications of Mathematics

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In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.

Multi-type synchronization of impulsive coupled oscillators via topology degree

Yingjie Bi, Zhidan Cai, Shuai Wang (2024)

Applications of Mathematics

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The existence of synchronization is an important issue in complex dynamical networks. In this paper, we study the synchronization of impulsive coupled oscillator networks with the aid of rotating periodic solutions of impulsive system. The type of synchronization is closely related to the rotating matrix, which gives an insight for finding various types of synchronization in a united way. We transform the synchronization of impulsive coupled oscillators into the existence of rotating...