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
September 30, 2010
Accepted
December 9, 2010
Published
December 31, 2010
Keywords
pendulum systems
complete bifurcation analysis
method of complete bifurcation groups
rare attractors
chaos
domains of attraction
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