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

Zhen Wang; Wei Sun; Zhouchao Wei; Xiaojian Xi

Kybernetika (2014)

  • Volume: 50, Issue: 4, page 616-631
  • ISSN: 0023-5954

Abstract

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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 R 3 , 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.

How to cite

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Wang, Zhen, et al. "Dynamics analysis and robust modified function projective synchronization of Sprott E system with quadratic perturbation." Kybernetika 50.4 (2014): 616-631. <http://eudml.org/doc/262018>.

@article{Wang2014,
abstract = {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 $R^3$, 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.},
author = {Wang, Zhen, Sun, Wei, Wei, Zhouchao, Xi, Xiaojian},
journal = {Kybernetika},
keywords = {Hopf bifurcation; center manifold theorem; Poincare compactification; robust modified function projective synchronization; chaotic systems; Hopf bifurcation; center manifold theorem; Poincaré compactification; robust modified function projective synchronization; chaotic systems},
language = {eng},
number = {4},
pages = {616-631},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Dynamics analysis and robust modified function projective synchronization of Sprott E system with quadratic perturbation},
url = {http://eudml.org/doc/262018},
volume = {50},
year = {2014},
}

TY - JOUR
AU - Wang, Zhen
AU - Sun, Wei
AU - Wei, Zhouchao
AU - Xi, Xiaojian
TI - Dynamics analysis and robust modified function projective synchronization of Sprott E system with quadratic perturbation
JO - Kybernetika
PY - 2014
PB - Institute of Information Theory and Automation AS CR
VL - 50
IS - 4
SP - 616
EP - 631
AB - 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 $R^3$, 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.
LA - eng
KW - Hopf bifurcation; center manifold theorem; Poincare compactification; robust modified function projective synchronization; chaotic systems; Hopf bifurcation; center manifold theorem; Poincaré compactification; robust modified function projective synchronization; chaotic systems
UR - http://eudml.org/doc/262018
ER -

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