Dynamics analysis and robust modified function projective synchronization of Sprott E system with quadratic perturbation

Title:

Dynamics analysis and robust modified function projective synchronization of Sprott E system with quadratic perturbation

Creator:

Wang, Zhen, Sun, Wei, Wei, Zhouchao, and Xi, Xiaojian

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:28fe6ea5-2a91-4c70-bc79-80f5b0a7b233
uuid:28fe6ea5-2a91-4c70-bc79-80f5b0a7b233

Subject:

Hopf bifurcation, center manifold theorem, Poincare compactification, robust modified function projective synchronization, and chaotic systems

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Hopf bifurcation, dynamics at infinity and robust modified function projective synchronization (RMFPS) problem for Sprott E system with quadratic perturbation were studied in this paper. By using the method of projection for center manifold computation, the subcritical and the supercritical Hopf bifurcation were analyzed and obtained. Then, in accordance with the Poincare compactification of polynomial vector field in R3, the dynamical behaviors at infinity were described completely. Moreover, a RMFPS scheme of this special system was proposed and proved based on Lyapunov direct method. The simulation results demonstrate the correctness of the dynamics analysis and the effectiveness of the proposed synchronization strategy.

Language:

English

Rights:

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

Coverage:

[616]-631

Source:

Kybernetika | 2014 Volume:50 | Number:4

Harvested from:

CDK

Metadata only:

false