Anticipating synchronization of chaotic Lur'e systems

Chaos
Henri HuijbertsToshiki Oguchi

Abstract

In this paper we consider the anticipating synchronization of chaotic time-delayed Lur'e-type systems in a master-slave setting. We introduce three scenarios for anticipating synchronization, and give sufficient conditions for the existence of anticipating synchronizing slave systems in terms of linear matrix inequalities. The results obtained are illustrated on a time-delayed Rossler system and a time-delayed Chua oscillator.

References

Feb 19, 1990·Physical Review Letters·L M Pecora, T L Carroll
Oct 14, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H U Voss
Aug 22, 2003·Nature·Daniel M Abrams, Steven H Strogatz
Jan 30, 2004·The Spine Journal : Official Journal of the North American Spine Society·Dennis C Turk
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D V Senthilkumar, M Lakshmanan
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D V SenthilkumarJürgen Kurths
Dec 3, 2008·Chaos·Toshiki OguchiTakashi Yamamoto

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