Hopf bifurcation analysis of some hyperchaotic systems with time-delay controllers

Title:

Hopf bifurcation analysis of some hyperchaotic systems with time-delay controllers

Creator:

Zhang, Lan and Zhang, Chengjian

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:95aa7717-a94e-4ef9-83a1-5afcea6e2810
uuid:95aa7717-a94e-4ef9-83a1-5afcea6e2810

Subject:

Hopf bifurcation, periodic solution, multiple time-delays and parameters, hyperchaotic Lü system, hyperchaotic Chen system, and hyperchaotic Lorenz system

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A four-dimensional hyperchaotic Lü system with multiple time-delay controllers is considered in this paper. Based on the theory of Hopf bifurcation in delay system, we obtain a simple relationship between the parameters when the system has a periodic solution. Numerical simulations show that the assumption is a rational condition, choosing parameter in the determined region can control hyperchaotic Lü system well, the chaotic state is transformed to the periodic orbit. Finally, we consider the differences between the analysis of the hyperchaotic Lorenz system, hyperchaotic Chen system and hyperchaotic Lü system.

Language:

English

Rights:

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

Coverage:

[35]-42

Source:

Kybernetika | 2008 Volume:44 | Number:1

Harvested from:

CDK

Metadata only:

false