Rare Periodic and Chaotic Attractors and Typical Bifurcation Groups in Driven Double-well and Many-well Potential Oscillatory Systems

Proceedings of the 4th IEEE International Conference on Nonlinear Science and Complexity (NSC 2012) 2012
Mihails Zakrževskis

The paper illustrates the application of the method of complete bifurcation groups (MCBG) and the concept of rare attractors (RA) for driven double-well and many-well potential oscillatory systems. Some new regular and chaotic RAs have been obtained for archetypical driven nonlinear systems with linear dissipation and harmonic external force. The existence of stable solutions near unstable equilibrium position is performed as well.

Keywords
Driven double-well and many-well potential systems, bifurcation analysis, complete bifurcation groups, rare attractors, chaos
DOI
10.1109/NSC.2012.6304758
Hyperlink
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6304758

Zakrževskis, M. Rare Periodic and Chaotic Attractors and Typical Bifurcation Groups in Driven Double-well and Many-well Potential Oscillatory Systems. 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.223-228. ISBN 978-1-4673-2702-2. e-ISBN 978-1-4673-2701-5. Available from: doi:10.1109/NSC.2012.6304758

Publication language
English (en)