Complete Bifurcation Analysis with Rare Attractors of a Pendulum Vibration Absorber

Proceedings of the 4th IEEE International Conference on Nonlinear Science and Complexity (NSC 2012) 2012
Eugen Kremer, Mihails Zakrževskis, Aleksejs Klokovs

The methods and approaches of the global bifurcation analysis of nonlinear dynamical systems are under consideration. The main idea of new approaches is a concept of complete bifurcation groups, periodic skeletons, protuberances and rare attractors (RA). The method of complete bifurcation groups (MCBG) allows obtaining new qualitative results in well-known dynamical models. MCBG is based on the method of stable and unstable periodic regimes continuation on a parameter. New results obtained by the method are discussed in this paper for the pendulum vibration absorbers with one and several degrees-offreedom. The concept of RA and protuberances illustrated by typical bifurcation groups allows finding new important applications for absorbers of vibration. Obtained results are important for explanations of some catastrophic or goodluck events in engineering

Keywords
Pendulum vibration absorber, bifurcation analysis, complete bifurcation groups, rare attractors
DOI
10.1109/NSC.2012.6304755
Hyperlink
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6304755

Kremer, E., Zakrževskis, M., Klokovs, A. Complete Bifurcation Analysis with Rare Attractors of a Pendulum Vibration Absorber. In: Proceedings of the 4th IEEE International Conference on Nonlinear Science and Complexity (NSC 2012), Hungary, Budapest, 6-11 August, 2012. Piscataway: IEEE, 2012, pp.205-210. ISBN 978-1-4673-2702-2. e-ISBN 978-1-4673-2701-5. Available from: doi:10.1109/NSC.2012.6304755

Publication language
English (en)