Chaotic behavior and modified function projective synchronization of a simple system with one stable equilibrium

Title:

Chaotic behavior and modified function projective synchronization of a simple system with one stable equilibrium

Creator:

Wei, Zhouchao and Wang, Zhen

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c82c12c0-b8ea-4c0a-8894-1534b95c2c5d
uuid:c82c12c0-b8ea-4c0a-8894-1534b95c2c5d

Subject:

chaotic attractors, stable equilibrium, Shilnikov theorem, Lyapunov exponent, and synchronization

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

By introducing a feedback control to a proposed Sprott E system, an extremely complex chaotic attractor with only one stable equilibrium is derived. The system evolves into periodic and chaotic behaviors by detailed numerical as well as theoretical analysis. Analysis results show that chaos also can be generated via a period-doubling bifurcation when the system has one and only one stable equilibrium. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived to achieve modified function projective synchronized between the extended Sprott E system and original Sprott E system. Numerical simulations are presented to demonstrate the effectiveness of the proposed adaptive controllers.

Language:

English

Rights:

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

Coverage:

[359]-374

Source:

Kybernetika | 2013 Volume:49 | Number:2

Harvested from:

CDK

Metadata only:

false