The Influence of Nonlinear Dissipation on the Birth of Rare Attractors in Dynamic Systems

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

The research dwells upon some fundamental regularity of behaviour of the nonlinear dynamic systems, caused by the influence of nonlinear dissipation. They play an important role in the study and forecast of rare oscillatory processes in mechanical, electrical, biological and other dynamic systems. The method of complete bifurcation groups applied in the presented work allowed us to clarify the nature of these rare nonlinear phenomena and to investigate typical scenarios of their birth.

Keywords
Nonlinear dynamics, nonlinear dissipation, rare attractors

Smirnova, R., Zakrževskis, M., Ščukins, I., Jevstigņejevs, V. The Influence of Nonlinear Dissipation on the Birth of Rare Attractors in Dynamic Systems. In: Proceedings of the 2nd International Symposium on Rare Attractors and Rare Phenomena in Nonlinear Dynamics, Latvia, Rīga - Jūrmala, 16-20 May, 2011. Rīga: Riga Technical University, 2011, pp.31-34. ISBN 978-9934-10-142-7.

Publication language
English (en)