Bifurcation Analysis and Rare Attractors in Parametrically Excited Pendulum Systems

10th Conference on Dynamical Systems - Theory and Applications (DSTA 2009) 2009
Aleksejs Klokovs, Mihails Zakrževskis

An application of the new method of complete bifurcation groups (MCBG) in a parametrically excited pendulum system with additional linear restoring moment and with the periodically vibrating point of suspension in both directions is introduced. 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 parametric pendulum system allows to find new bifurcation groups, rare attractors and chaotic regimes.

Keywords
Rare attractors, pendulum system, parametrical excitation

Klokovs, A., Zakrževskis, M. Bifurcation Analysis and Rare Attractors in Parametrically Excited Pendulum Systems. In: 10th Conference on Dynamical Systems - Theory and Applications (DSTA 2009), Poland, Lodz, 7-10 December, 2009. Lodz: Technical University of Lodz, 2009, pp.623-628.

Publication language
English (en)