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.
Atslēgas vārdi
Driven double-well and many-well potential systems, bifurcation analysis, complete bifurcation groups, rare attractors, chaos
DOI
10.1109/NSC.2012.6304758
Hipersaite
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. No: Proceedings of the 4th IEEE International Conference on Nonlinear Science and Complexity (NSC 2012), Ungārija, Budapest, 6.-11. augusts, 2012. Piscataway: IEEE, 2012, 223.-228.lpp. ISBN 978-1-4673-2702-2. e-ISBN 978-1-4673-2701-5. Pieejams: doi:10.1109/NSC.2012.6304758
Publikācijas valoda
English (en)