Periodic Solutions Generated by Impulses for State-Dependent Impulsive Differential Equation
Author(s) -
Qizhen Xiao,
Binxiang Dai
Publication year - 2015
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2015/816325
Subject(s) - impulse (physics) , state dependent , class (philosophy) , differential equation , mathematics , mathematical analysis , differential (mechanical device) , state (computer science) , computer science , physics , classical mechanics , algorithm , mathematical economics , artificial intelligence , thermodynamics
We study the existence of periodic solutions for a class of state-dependent impulsive differential systems via geometrical analysis methods. Our results show that these periodic solutions are generated by impulses. Moreover, numerical simulations are used to examine the existence of the periodic solutions
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