Rare Attractors in Typical Nonlinear Discrete Dynamical Models

Proceedings of the 4th IEEE International Conference on Nonlinear Science and Complexity (NSC 2012) 2012
Vladislavs Jevstigņejevs, Aleksejs Klokovs, Raisa Smirnova, Igors Ščukins

This paper is devoted to implementation of the method of complete bifurcation groups (MCBG) to numerical bifurcation analysis of typical nonlinear discrete dynamical models. There were found rare periodic and chaotic attractors, parameter range with coexisting rare and chaotic attractors, fully unstable subharmonic isle, and such phenomena as cluster of submerged subharmonic isles.

Keywords
Discrete dynamical models, bifurcation analysis, complete bifurcation groups, rare attractors
DOI
10.1109/NSC.2012.6304710
Hyperlink
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6304710

Jevstigņejevs, V., Klokovs, A., Smirnova, R., Ščukins, I. Rare Attractors in Typical Nonlinear Discrete Dynamical Models. 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.229-234. ISBN 978-1-4673-2702-2. e-ISBN 978-1-4673-2701-5. Available from: doi:10.1109/NSC.2012.6304710

Publication language
English (en)