Nonlinear Dynamics and Rare Attractors of the Pendulum with the Vertical Vibrating Point of Suspension

Proceedings of the 2nd International Symposium on Rare Attractors and Rare Phenomena in Nonlinear Dynamics 2011
Aleksejs Klokovs, Mihails Zakrževskis

Dynamically stable periodic solutions of a pendulum with the periodically vibrating point of suspension in vertical direction provide a unique opportunity for its application in engineering, e.g. pendulum oscillations can be used for autoparametric oscillation absorbers. The main task of this paper is to study the dynamics of pendulum system by conducting complete bifurcation analysis, using the method of complete bifurcation groups (MCBG), and comparing the obtained theoretical results with the experimental investigations.

Keywords
pendulum systems, nonlinear dynamics, complete bifurcation analysis, complete bifurcation groups, rare attractors

Klokovs, A., Zakrževskis, M. Nonlinear Dynamics and Rare Attractors of the Pendulum with the Vertical Vibrating Point of Suspension. In: Proceedings of the 2nd International Symposium on Rare Attractors and Rare Phenomena in Nonlinear Dynamics, Latvia, Rīga - Jūrmala, 16-20 May, 2011. Rīga: Riga Technical University, 2011, pp.16-20. ISBN 9789934101427.

Publication language
English (en)