Parametrically Excited Pendulum Systems with Several Equilibrium Positions. Bifurcation Analysis and Rare Attractors

International Journal of Bifurcation and Chaos 2011
Aleksejs Klokovs, Mihails Zakrževskis

An application of the new method of complete bifurcation groups (MCBG) in parametrically excited pendulum systems with several equilibrium positions 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 parametrically excited pendulum systems with several equilibrium positions allows finding new bifurcation groups with rare attractors and chaotic regimes.

Keywords
Complete bifurcation analysis; pendulum system; vibrating point of suspension; method of complete bifurcation groups; rare attractors; chaos; domains of attraction
Hyperlink
http://www.worldscinet.com/ijbc/ijbc.shtml

Klokovs, A., Zakrževskis, M. Parametrically Excited Pendulum Systems with Several Equilibrium Positions. Bifurcation Analysis and Rare Attractors. International Journal of Bifurcation and Chaos, 2011, Vol. 21, No. 10, pp.2825-2836. ISSN 0218-1274.

Publication language
English (en)