Title of Paper:Subharmonic bifurcations and chaotic motions for a class of inverted pendulum system

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Affiliation of Author(s):理学院

Journal:CHAOS SOLITONS & FRACTALS

Key Words:Inverted pendulum Chaos Subharmonic bifurcation Melnikov method Heteroclinic orbit

Abstract:Using both analytical and numerical methods, global dynamics including subharmonic bifurcations and chaotic motions for a class of inverted pendulum system are investigated in this paper. The expressions of the heteroclinic orbits and periodic orbits are obtained analytically. Chaos arising from heteroclinic intersections is studied with the Melnikov method. The critical curves separating the chaotic and non chaotic regions are obtained. The conditions for subharmonic bifurcations are also obtained. It is proved that the system can be chaotically excited through finite subharmonic bifurcations. Some new dynamical phenomena are presented. Numerical simulations are given, which verify the analytical results. (C) 2017 Elsevier Ltd. All rights reserved.

ISSN No.:0960-0779

Translation or Not:no

Date of Publication:2017-06-01

Co-author:Liu, Shanshan,cfq

Correspondence Author:周良强,陈芳启,Zhou Liangqiang