Sequential synchronization of two Lorenz systems using active control. (English) Zbl 0985.37106

This paper deals with synchronization using techniques from active control theory. More precisely, the authors show that chaos in the Lorenz system can be easily controlled using a sequential controller. They present also the results of numerical simulations that verify the technique.


37N35 Dynamical systems in control
93C15 Control/observation systems governed by ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
Full Text: DOI


[1] Bai, E.W.; Lonngen, K.E., Synchronization of two Lorenz systems using active control, Chaos, solitons and fractals, 8, 51-58, (1997) · Zbl 1079.37515
[2] Lorenz, E., Deterministic nonperiodic flow, Journal of atmospheric science, 20, 130-141, (1963) · Zbl 1417.37129
[3] Ashwin, P.; Buescu, J.; Stewart, I., Bubbling of attractors and synchronisation of chaotic oscillators, Physics letters A, 193, 126-139, (1994) · Zbl 0959.37508
[4] Heagy, J.F.; Carroll, T.L.; Pecora, L.M., Synchronous chaos in coupled oscillator systems, Physical review E, 50, 1874-1885, (1994)
[5] Heagy, J.F.; Carroll, T.L.; Pecora, L.M., Experimental and numerical evidence for riddled basins in coupled chaotic systems, Physical review letters, 73, 3528-3531, (1994)
[6] Liu, Y.; Barbosa, L.C., Periodic locking in coupled Lorenz systems, Physics letters A, 197, 13-18, (1995) · Zbl 1020.37509
[7] Guemez, J.; Matias, M.A., Modified method for synchronizing and cascading chaotic systems, Physical review E, 52, R2145-2148, (1995)
[8] Guemez, J.; Matias, M.A., On the synchronization of identically driven chaotic systems, Physics letter A, A-246, 289-292, (1998)
[9] E.W. Bai, K.E. Lonngren, Synchronization and control of chaotic systems, Chaos, Solitons and Fractals, 10 (1999) 1571-1575 · Zbl 0958.93513
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