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Research Papers

A New Generalized-Type of Synchronization for Discrete-Time Chaotic Dynamical Systems

[+] Author and Article Information
Adel Ouannas

Department of Mathematics
and Computer Science,
Constantine University,
Constantine 25000, Algeria;
LAMIS Laboratory,
Tebessa University,
Tebessa 12002, Algeria
e-mail: ouannas_adel@yahoo.fr

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 10, 2014; final manuscript received March 30, 2015; published online April 28, 2015. Assoc. Editor: Mohammad Younis.

J. Comput. Nonlinear Dynam 10(6), 061019 (Nov 01, 2015) (5 pages) Paper No: CND-14-1242; doi: 10.1115/1.4030295 History: Received October 10, 2014; Revised March 30, 2015; Online April 28, 2015

In this paper, a new type of chaos synchronization in discrete-time is proposed by combining matrix projective synchronization (MPS) and generalized synchronization (GS). This new chaos synchronization type allows us to study synchronization between different dimensional discrete-time chaotic systems in different dimensions. Based on nonlinear controllers and Lyapunov stability theory, effective control schemes are introduced and new synchronization criterions are derived. Numerical simulations are used to validate the theoretical results and to verify the effectiveness of the proposed schemes.

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Figures

Grahic Jump Location
Fig. 1

Chaotic attractor of Lorenz discrete-time system when (α, β) = (1.25, 0.75)

Grahic Jump Location
Fig. 2

Hyperchaotic attractors of Wang system when (a1, a2, a3, a4, a5, a6, a7, δ) = (−1.9, 0.2, 0.5, −2.3, 2, −0.6, −1.9, 1)

Grahic Jump Location
Fig. 3

Time evolution of errors between Lorenz discrete-time system and Wang system in 3D

Grahic Jump Location
Fig. 4

Time evolution of errors between Lorenz discrete-time system and Wang system in 2D

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