SYNCHRONIZATION THEOREM FOR A CHAOTIC SYSTEM

SCHWEIZER, JÖRG; KENNEDY, MICHAEL PETER; HASLER, MARTIN; DEDIEU, HERVÉ

doi:10.1142/s0218127495000259

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Journal article

SYNCHRONIZATION THEOREM FOR A CHAOTIC SYSTEM

SCHWEIZER, JÖRG Department of Electronic and Electrical Engineering, University College Dublin, Dublin 4, Ireland
KENNEDY, MICHAEL PETER Department of Electronic and Electrical Engineering, University College Dublin, Dublin 4, Ireland
HASLER, MARTIN Chaire des Circuits et Systèmes-CIRC, Ecole Polytechnique Fédérale de Lausanne EPFL, 1015 Lausanne, Switzerland
DEDIEU, HERVÉ Chaire des Circuits et Systèmes-CIRC, Ecole Polytechnique Fédérale de Lausanne EPFL, 1015 Lausanne, Switzerland

2011-11-20

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International Journal of Bifurcation and Chaos. - World Scientific Pub Co Pte Lt. - 1995, vol. 05, no. 01, p. 297-302

English Since Pecora & Carroll [Pecora & Carroll, 1991; Carroll & Pecora, 1991] have shown that it is possible to synchronize chaotic systems by means of a drive-response partition of the systems, various authors have proposed synchronization schemes and possible secure communications applications [Dedieu et al., 1993, Oppenheim et al., 1992]. In most cases synchronization is proven by numerically computing the conditional Lyapunov exponents of the response system. In this work a new synchronization method using error-feedback is developed, where synchronization is provable using a global Lyapunov function. Furthermore, it is shown how this scheme can be applied to secure communication systems.

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