Clusters of Submerged Subharmonic Isles with Rare Attractors in Two Parameters Bifurcation Diagrams

Proceedings of the 2nd International Symposium on Rare Attractors and Rare Phenomena in Nonlinear Dynamics 2011
Vladislavs Jevstigņejevs, Mihails Zakrževskis

The present paper is devoted to submerged subharmonic isles – subharmonic solutions which in the bifurcation diagrams have the form of the isles, all solutions of which are unstable except for small ranges of the bifurcation parameters at the edges of the isles. Such isles can form clusters. It is shown that a cluster for bilinear system in two parameters plane (b-ω) has form of nested half-circles.

Atslēgas vārdi
Rare attractors, subharmonic isles, clusters

Jevstigņejevs, V., Zakrževskis, M. Clusters of Submerged Subharmonic Isles with Rare Attractors in Two Parameters Bifurcation Diagrams. No: Proceedings of the 2nd International Symposium on Rare Attractors and Rare Phenomena in Nonlinear Dynamics, Latvija, Rīga - Jūrmala, 16.-20. maijs, 2011. Rīga: Riga Technical University, 2011, 35.-38.lpp. ISBN 978-9934-10-142-7.

Publikācijas valoda
English (en)