Rare Attractors in Dynamics of Pendulum Systems

Apvienotais pasaules latviešu zinātnieku III kongress un Letonikas IV kongress: sekcija "Tehniskās zinātnes”: tēžu krājums 2011
Aleksejs Klokovs, Eduards Šilvāns

An application of the method of complete bifurcation groups (MCBG) for search of rare attractors in nonlinear dynamics of driven damped pendulum systems with one degree of freedom. Dynamically stable periodic solutions of a pendulum 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 research is to study the nonlinear dynamics of driven damped pendulum systems by conducting complete bifurcation analysis, using the MCBG, and finding the rare regular and chaotic attractors.

Keywords
Pendulum systems, global bifurcation analysis, method of complete bifurcation groups, rare attractors

Klokovs, A., Šilvāns, E. Rare Attractors in Dynamics of Pendulum Systems. In: Apvienotais pasaules latviešu zinātnieku III kongress un Letonikas IV kongress: sekcija "Tehniskās zinātnes”: tēžu krājums, Latvia, Rīga, 24-27 October, 2011. Rīga: RTU Izdevniecība, 2011, pp.186-186. ISBN 9789934102271.

Publication language
Latvian (lv)