Nonlinear observer-based impulsive synchronization in chaotic systems with multiple attractors

Nonlinear Dynamics

Volumn 60, Issue 4, 2010, Pages 607-613

  Ghosh, Dibakar ^a,b   Roy Chowdhury, A ^b  

^a DINABANDHU ANDREWS COLLEGE   (India)

^b JADAVPUR UNIVERSITY   (India)

Author keywords

Impulsive synchronization; Newton Leipnik system; Nonlinear observer

Indexed keywords

IMPULSIVE SYNCHRONIZATION; MULTIPLE ATTRACTORS; NEWTON-LEIPNIK SYSTEM; NON-LINEAR OBSERVER; NUMERICAL SIMULATION; STABILITY THEORIES; STABLE REGION; THEORETICAL RESULT;

SYNCHRONIZATION;

CHAOTIC SYSTEMS;

EID: 77955654608     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-009-9618-5     Document Type: Article

References (24)

1. H. Fujisaka T. Yamada 1983 Stability theory of synchronized motion in coupled-oscillator systems Prog. Theor. Phys. 69 32 47 1171.70306 10.1143/PTP.69.32 699754
2. L.M. Pecora T.L. Carroll 1990 Synchronization in chaotic systems Phys. Rev. Lett. 64 821 824 10.1103/PhysRevLett.64.821 1038263
3. M. Rosenblum A. Pikovsky J. Kurths 1996 Phase synchronization of chaotic oscillators Phys. Rev. Lett. 76 1804 1807 10.1103/PhysRevLett.76.1804
4. S. Boccaletti L.M. Pecora A. Pelaez 2001 Unifying framework for synchronization of coupled dynamical systems Phys. Rev. E 63 066219 10.1103/PhysRevE.63.066219
5. T.L. Carroll L.M. Pecora 1991 Synchronizing chaotic circuits IEEE Trans. Circuits Syst. 38 453 456 10.1109/31.75404
6. S. Banerjee D. Ghosh A. Roy Chowdhury 2008 Multiplexing synchronization and its applications in cryptography Phys. Scr. 78 015010 10.1088/0031-8949/78/ 01/015010 2447532
7. S. Banerjee D. Ghosh A. Ray A. Roy Chowdhury 2008 Synchronization between two different time delayed systems and image encryption Europhys. Lett. 81 20006 10.1209/0295-5075/81/20006
8. D. Ghosh S. Banerjee A. Roy Chowdhury 2007 Synchronization between variable time delayed systems and cryptography Europhys. Lett. 80 30006 10.1209/0295-5075/80/30006 2354131
9. Ghosh, D.: Nonlinear active observer-based generalized synchronization in time-delayed systems. Nonlinear Dyn. doi: 10.1007/s11071-009-9538-4. (Published online: 10 June, 2009)
10. D. Ghosh 2008 Nonlinear observer-based synchronization scheme for multiparameter estimation Europhys. Lett. 84 40012 10.1209/0295-5075/84/40012
11. D. Ghosh S. Banerjee 2008 Adaptive scheme for synchronization-based multiparameter estimation from a single chaotic time series and its applications Phys. Rev. E 78 056211 10.1103/PhysRevE.78.056211 2447532
12. Lakshmikantham, V.; Bainov, D.; Simeonov, P.: Theory of Impulsive Differential Equations. World Scientific, Singapore (1989)
13. J. Sun Y. Zhang 2003 Impulsive control of Rössler systems Phys. Lett. A 306 306 312 1006.37049 10.1016/S0375-9601(02)01499-8 1974127
14. T. Yang L.B. Yang C.M. Yang 1997 Impulsive synchronization of Lorenz systems Phys. Lett. A 226 349 354 10.1016/S0375-9601(97)00004-2
15. M. Itoh T. Yang L.O. Chua 2001 Conditions for impulsive synchronization of chaotic and hyperchaotic systems Int. J. Bifurc. Chaos 11 551 560 1090.37520 10.1142/S0218127401002262 1830352
16. U. Parlitz L. Kocarev T. Stojanovski L. Junge 1997 Chaos synchronization using sporadic driving Physica D 109 139 152 0925.58086 10.1016/S0167-2789(97) 00165-6
17. Yang, T.: Impulsive Systems and Control: Theory and Application. Nova Science, Huntington (2001)
18. C.D. Li X.F. Liao R. Zhang 2004 Impulsive synchronization of nonlinear coupled chaotic systems Phys. Lett. A 328 47 50 1134.37367 10.1016/j.physleta. 2004.05.065 2076524
19. M. Haeri M. Dehghani 2006 Impulsive synchronization of Chen's heperchaotic system Phys. Lett. A 356 226 230 1160.94398 10.1016/j.physleta. 2006.03.051 (Pubitemid 43947453)
20. G. Zhang Z. Liu Z. Ma 2007 Synchronization of complex dynamical networks via impulsive control Chaos 17 043126 10.1063/1.2803894 2380042
21. R.B. Newton T.A. Leipnik 1981 Double strange attractors in rigid body motion with linear feedback control Phys. Lett. A 86 63 67 10.1016/0375-9601(81) 90165-1 634349
22. H. Richter 2002 Controlling chaotic systems with multiple strange attractors Phys. Lett. A 300 182 188 0997.37012 10.1016/S0375-9601(02)00183-4 1928022
23. X. Wang L. Tian 2006 Bifurcation analysis and linear control of the Newton-Leipnik system Chaos Solitons Fractals 27 31 38 1091.93031 10.1016/j.chaos.2005.04.009 2165262 (Pubitemid 40999959)
24. Ray, A.; Ghosh, D.; Roy Chowdhury, A.: Topological study of multiple co-existing attractor in a nonlinear system, J. Phys. A, Math. Theor. (2009, communicated)