Impulsive control of Lorenz system

Physica D: Nonlinear Phenomena

Volumn 110, Issue 1-2, 1997, Pages 18-24

  Yang, Tao ^a   Yang, Lin Bao ^b   Yang, Chun Mei ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b University of E Zhou   (China)

^c CHINA CONSTRUCTION BANK   (China)

Author keywords

Chaos; Impulsive control; Impulsive differential equation; Lorenz system

Indexed keywords

EID: 0003082859     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(97)00116-4     Document Type: Article

References (10)

1. E. Ott, C. Grebogi and J.A. Yorke, Phys. Rev. Lett. 64 (1990) 1196-1199.
2. G. Chen and X. Dong, From chaos to order - Perspectives and methodologies in controlling nonlinear dynamical systems, Int. J. Bifur. Chaos 3 (1993) 1363-1409.
3. L.O. Chua, T. Yang, G.Q. Zhong and C.W. Wu, Adaptive synchronization of Chua's Oscillators, Int. J. Bifur. Chaos 6 (1) (1996) 189-201.
4. C.W. Wu, T. Yang and L.O. Chua, On adaptive synchronization and control of nonlinear dynamical systems, Int. J. Bifur. Chaos 6 (3) (1996) 455-471.
5. T. Stojanovski, L. Kocarev and U. Parlitz, Driving and synchronizing by chaotic impulses, Phys. Rev. E 54 (2) (1996) 2128-2131.
6. T. Yang, Lin-Bao Yang and Chun-Mei Yang, Impulsive synchronization of Lorenz systems, Phys. Lett. A 226 (6) (1997) 349-354.
7. T. Yang and L.O. Chua, Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication, Int. J. Bifur. Chaos 7 (3) (1997), in press.
8. T. Yang and L.O. Chua, Impulsive control and synchronization of chaotic systems and secure communication, Electronics Research Laboratory, College of Engineering, University of California, Berkeley, CA 94720, Memorandum No. UCB/ERL M97/12, 29 January 1997.
9. E.N. Lorenz, J. Atmos. Sci. 20 (1990) 130-141.
10. V. Lakshmikantham, D.D. Bainov and P.S. Simeonov, Theory of Impulsive Differential Equations (World Scientific, Singapore, 1989).