Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system

Title:

Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system

Creator:

Liang, Hongtao, Tang, Yanxia, Li, Li, Wei, Zhouchao, and Wang, Zhen

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:49ab3af5-d396-452d-a250-538897945346
uuid:49ab3af5-d396-452d-a250-538897945346

Subject:

four-wing chaotic attractors, Lyapunov coefficient, degenerate Hopf bifurcations, and period-doubling cascade

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[935]-947

Source:

Kybernetika | 2013 Volume:49 | Number:6

Harvested from:

CDK

Metadata only:

false