A note on hopf bifurcation in chen's system

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 13, Issue 6, 2003, Pages 1609-1615

  Li, Changpin ^a   Chen, Guanrong ^b  

^a SHANGHAI UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Chen's system; Hopf bifurcation; The first Lyapunov coefficient

Indexed keywords

COMPUTATIONAL COMPLEXITY; EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; NONLINEAR SYSTEMS; POLYNOMIALS; VECTORS;

HOPF BIFURCATION;

BIFURCATION (MATHEMATICS);

EID: 0041377697     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403007394     Document Type: Article

References (10)

1. Agiza, H. N. & Yassen, M. T. [2001] "Synchronization of Rossler and Chen chaotic dynamical systems using active control," Phys. Lett. A278, 191-197.
2. Celikovsky, S. & Chen, G. [2002] "On a generalized Lorenz canonical form of chaotic systems," Int. J. Bifurcation and Chaos 12, 1789-1812.
3. Chen, G. & Ueta, T. [1999] "Yet another chaotic attractor, " Int. J. Bifurcation and Chaos 9, 1465-1466.
4. Kuznetsov, Y. A. [1998] Elements of Applied Bifurcation Theory, 2nd edition (Springer-Verlag, NY)
5. Lü, J., Zhou, T., Chen, G. & Zhang, S. [2002] "Local bifurcation of the Chen system," Int. J. Bifurcation and Chaos 12, 2257-2270.
6. Sparrow, C. [1982] The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors (Springer-Verlag, NY).
7. Ueta, T. & Chen, G. [2000] "Bifurcation analysis of Chen's equation," Int. J. Bifurcation and Chaos 10, 1917-1931.
8. Wang, X. [2000] "Chen's attractor - a new chaotic attractor," Contr. Th. Appl. 16, p. 779.
9. Yu, X. & Xia, Y. [2000] "Detecting unstable periodic orbits in Chen's chaotic attractor," Int. J. Bifurcation and Chaos 10, 1987-1991.
10. Zhong, G. Q. & Tang, K. S. [2002] "Circuitry implementation and synchronization of Chen's attractor," Int. J. Bifurcation and Chaos 12, 1423-1427.