Hopf bifurcation in the Lü system

Chaos, Solitons and Fractals

Volumn 17, Issue 5, 2003, Pages 901-906

  Yu, Yongguang ^a   Zhang, Suochun ^a  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DIFFERENTIAL EQUATIONS; NONLINEAR EQUATIONS; SYSTEM STABILITY;

CHAOTIC SYSTEM;

BIFURCATION (MATHEMATICS);

EID: 0037411722     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00573-8     Document Type: Article

References (12)

1. Lorenz E.N. Deterministic non-periodic flows. J. Atmos. Sci. 20:1963;130-141.
2. Chen G., Dong X. From chaos to order: methodologies, perspectives and applications. 1998;World Scientific, Singapore.
3. Lü J., Lu J., Chen S. Chaotic time series analysis and its application. 2002;Wuhan University Press, China.
4. Chen G., Ueta T. Yet another chaotic attractor. Int. J. Bifurcation & Chaos. 9:1999;1465-1466.
5. Lü J., Chen G. A new chaotic attractor coined. Int. J. Bifurcation & Chaos. 12(3):2002;659-661.
6. Lü J., Zhou T., Zhang S. Chaos synchronization between linearly coupled chaotic system. Chaos, Solitons and Fractals. 14(4):2002;529-541.
7. Lü J., Chen G., Zhang S. The compound structure of a new chaotic attractor. Chaos, Solitons and Fractals. 14(5):2002;1-4.
8. Lü J., Chen G., Zhang S. Dynamical analysis of a new chaotic attractor. Int. J. Bifurcation & Chaos. 12(5):2002;1001-1015.
9. Chen S., Lü J. Synchronization of an uncertain unified chaotic system via adaptive control. Chaos, Solitons and Fractals. 14(4):2002;643-647.
10. Yu Y., Zhang S. Controlling uncertain Lü system using backstepping design. Chaos, Solitons and Fractals. 15(5):2003;897-902.
11. Hassard B., Kazarinoff N., Wan Y. Theory and application of Hopf bifurcation. 1981;Cambridge University Press, Cambridge.
12. Zhang S. Mathematical theory and numerical method of modern oscillatory reaction. 1991;Henan Scientific and Technic Press, China.