Estimating the bounds for the Lorenz family of chaotic systems

Chaos, Solitons and Fractals

Volumn 23, Issue 2, 2005, Pages 529-534

  Li, Damei ^a   Lu, Jun An ^a   Wu, Xiaoqun ^a   Chen, Guanrong ^b  

^a WUHAN UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

AUTONOMOUS AGENTS; COMPUTATIONAL GEOMETRY; DIFFERENTIAL EQUATIONS; FRACTALS; LINEAR SYSTEMS; SOLITONS; TOPOLOGY; TRAJECTORIES;

BOUNDS; CANONICAL ANALYSIS; CHAOTIC SYSTEMS; LORENZ FAMILY;

CHAOS THEORY;

EID: 4243055985     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.05.021     Document Type: Article

References (13)

1. Lorenz E.N. Deterministic non-periods flows. J. Atmos. Sci. 20:1963;130-141.
2. Chen G.R., Ueta T. Yet another chaotic attractor. Int. J. Bifurcat. Chaos. 9:1999;1465-1466.
3. Vaněcěk A., Cělikovsky S. Control systems: from linear analysis to synthesis of chaos. 1996;Prentice-Hall, London.
4. Lü J., Chen G. A new chaotic attractor coined. Int. J. Bifurcat. Chaos. 12(3):2002;659-661.
5. Lü J., Chen G., Cheng D., Čelikovsky S. Bridge the gap between the Lorenz system and the Chen system. Int. J. Bifurcat. Chaos. 12:2002;2917-2926.
6. Chen G., Lü J. Dynamical analysis, control and synchronization of the Lorenz systems family. 2003;Science Press, China.
7. Lu J., Wu X., Lü J. Synchronization of a unified chaotic system and the application in secure communication. Phys. Lett. A. 305:2002;365-370.
8. Zhou T., Chen G., Tang Y. A universal unfolding of the Lorenz system. Chaos, Solitons & Fractals. 20:2004;979-993.
9. Wu X., Lu J. Parameter identification and backstepping control of uncertain Lü system. Chaos, Solitons & Fractals. 18:2003;721-729.
10. Lü J., Lu J. Controlling uncertain Lü system using linear feedback. Chaos, Solitons & Fractals. 17:2002;127-133.
11. Leonov G., Bunin A., Koksch N. Attractor localization of the Lorenz system. ZAMM. 67:1987;649-656.
12. Pogromsky A.Yu., Santoboni G., Nijmeijer H. An ultimate bound on the trajectories of the Lorenz systems and its applications. Nonlinearity. 16:2003;1597-1605.
13. Zhou T., Tang Y., Chen G. Complex dynamical behaviors of the chaotic Chen's system. Int. J. Bifurcat. Chaos. 9:2003;2561-2574.