In:
International Journal of Bifurcation and Chaos, World Scientific Pub Co Pte Ltd, Vol. 27, No. 05 ( 2017-05), p. 1750078-
Abstract:
We have studied a Filippov system [Formula: see text] with small [Formula: see text] , [Formula: see text] and [Formula: see text] being periodic. Since [Formula: see text] is an abstract function, the subharmonic Melnikov function cannot be computed. In other words, for this system the Melnikov method loses effectiveness. First, we proved that the equation has a unique harmonic solution, a unique [Formula: see text] -subharmonic solution for any [Formula: see text] and they are Lyapunov asymptotically stable. Moreover, this equation has no other type of periodic solutions. Further, the attractor of this system is not chaotic. Finally, some numerical examples are given.
Type of Medium:
Online Resource
ISSN:
0218-1274
,
1793-6551
DOI:
10.1142/S021812741750078X
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2017
SSG:
11
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