Hopf bifurcation analysis of the Lü system

Chaos, Solitons and Fractals

Volumn 21, Issue 5, 2004, Pages 1215-1220

  Yu, Yongguang ^a   Zhang, Suochun ^a  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CHAOS THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; THEOREM PROVING;

CHAOTIC SYSTEMS; HOPF BIFURCATIONS;

BIFURCATION (MATHEMATICS);

EID: 1642303941     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2003.12.063     Document Type: Article

References (14)

1. Chen G., Dong X. From chaos to order: Methodologies, perspectives and applications. 1998;World Scientific, Singapore.
2. Lü J., Lu J., Chen S. Chaotic time series analysis and its application. 2002;Wuhan University Press, China.
3. Lorenz E.N. Deterministic non-periodic flows. J. Atmos. Sci. 20:1963;130-141.
4. Chen G., Ueta T. Yet another chaotic attractor. Int. J. Bifurcat. Chaos. 9:1999;1465-1466.
5. Ueta T, Chen G. Bifurcation and chaos in Chen's equation. In: Proc IEEE Int Symposium on Circuits and Systems, Geneva, Switzerland, 29-31 May 2000, vol. V. p. 505-8.
6. Vanecek A., Celikovský S. Control systems: From linear analysis to synthesis of chaos. 1996;Prentice-Hall, London.
7. Lü J., Chen G. A new chaotic attractor coined. Int J. Bifurcat. Chaos. 12(3):2002;659-661.
8. Lü J., Chen G., Zhang S. Dynamical analysis of a new chaotic attractor. Int. J. Bifurcat. Chaos. 12(5):2002;1001-1015.
9. Lü J., Chen G., Zhang S. The compound structure of a new chaotic attractor. Chaos, Solitons & Fractals. 14(5):2002;1-4.
10. Yu Y., Zhang S. Adaptive backstepping control of the uncertain Lü system. Chinese Phys. 11(12):2002;1249-1253.
11. Lü J., Chen G., Cheng D., Celikovsky S. Bridge the gap between the Lorenz system and the Chen system. Int. J. Bifurcat. Chaos. 12(12):2002.
12. Yu Y., Zhang S. Controlling uncertain Lü system using backstepping design. Chaos, Solitons & Fractals. 15(5):2003;897-902.
13. Xue Y. Quantitative study of general motion stability and an example on power system stability. 1999;Jiangsu Science and Technology Press, China.
14. Kuznetsov Y.A. Elements of applied bifurcation theory. 2nd ed. 1998;Springer-Verlag, New York.