期刊
OPTIK
卷 136, 期 -, 页码 513-523出版社
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2017.02.068
关键词
Function projective synchronization; Non-identical fractional-order systems; Chaos and hyperchaos
类别
Referring to fractional-order systems, this paper investigates the inverse full state hybrid function projective synchronization (IFSHFPS) of non-identical systems characterized by different dimensions and different orders. By taking a master system of dimension n and a slave system of dimension m, the method enables each master system state to be synchronized with a linear combination of slave system states, where the scaling factor of the linear combination can be any arbitrary differentiable function. The approach presents some useful features: i) it enables commensurate and incommensurate non-identical fractional order systems with different dimension n < m or n >m to be synchronized; ii) it can be applied to a wide class of chaotic (hyperchaotic) fractional -order systems for any differentiable scaling function; iii) it is rigorous, being based on two theorems, one for the case nm. Two different numerical examples are reported, involving chaotic/hyperchaotic fractional -order Lorenz systems (three-dimensional and four-dimensional master/slave, respectively) and hyperchaotic/chaotic fractional -order Chen systems (four-dimensional and three-dimensional master/slave, respectively). The examples clearly highlight the capability of the conceived approach in effectively achieving synchronized dynamics for any differentiable scaling function. (C) 2017 Elsevier GmbH. All rights reserved.
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