Generalized synchronization between different chaotic maps via dead-beat control

doi:10.1088/1674-1056/21/5/050505

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50505-050505.doi: 10.1088/1674-1056/21/5/050505

Generalized synchronization between different chaotic maps via dead-beat control

Grassi G

Dipartimento di Ingegneria dell'Innovazione, Universit? del Salento, Lecce 73100, Italy

收稿日期:2011-11-15 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01

Generalized synchronization between different chaotic maps via dead-beat control

Grassi G^†

Dipartimento di Ingegneria dell'Innovazione, Università del Salento, Lecce 73100, Italy

Received:2011-11-15 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01

摘要/Abstract

摘要： This paper presents a new scheme to achieve generalized synchronization (GS) between different discrete-time chaotic (hyperchaotic) systems. The approach is based on a theorem, which assures that GS is achieved when a structural condition on the considered class of response systems is satisfied. The method presents some useful features:it enables exact GS to be achieved in finite time (i.e., dead-beat synchronization); it is rigorous, systematic, and straightforward in checking GS; it can be applied to a wide class of chaotic maps. Some examples of GS, including the Grassi-Miller map and a recently introduced minimal 2-D quadratic map, are illustrated.

关键词: generalized synchronization, chaos synchronization, discrete-time chaotic systems, dead-beat control, chaotic maps

Abstract: This paper presents a new scheme to achieve generalized synchronization (GS) between different discrete-time chaotic (hyperchaotic) systems. The approach is based on a theorem, which assures that GS is achieved when a structural condition on the considered class of response systems is satisfied. The method presents some useful features:it enables exact GS to be achieved in finite time (i.e., dead-beat synchronization); it is rigorous, systematic, and straightforward in checking GS; it can be applied to a wide class of chaotic maps. Some examples of GS, including the Grassi-Miller map and a recently introduced minimal 2-D quadratic map, are illustrated.

Key words: generalized synchronization, chaos synchronization, discrete-time chaotic systems, dead-beat control, chaotic maps

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Xt (Synchronization; coupled oscillators)

Grassi G. Generalized synchronization between different chaotic maps via dead-beat control[J]. 中国物理B, 2012, 21(5): 50505-050505.

Grassi G . Generalized synchronization between different chaotic maps via dead-beat control[J]. Chin. Phys. B, 2012, 21(5): 50505-050505.

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Generalized synchronization between different chaotic maps via dead-beat control

Generalized synchronization between different chaotic maps via dead-beat control

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