Published: 31 December 2010

Bifurcation analysis and rare attractors in driven damped pendulum systems

A. Klokov1
M. Zakrzhevsky2
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Abstract

The paper reports the complete bifurcation analysis of the driven damped pendulum systems by the new method of complete bifurcation groups (MCBG). Construction of complete bifurcation groups is based on the method of stable and unstable periodic regimes continuation on a parameter. Global bifurcation analysis of the driven damped pendulum systems allows determination of new bifurcation groups with rare attractors and chaotic regimes

About this article

Received
30 September 2010
Accepted
09 December 2010
Published
31 December 2010
Keywords
pendulum systems
complete bifurcation analysis
method of complete bifurcation groups
rare attractors
chaos
domains of attraction