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Synchronization behaviors of coupled systems composed of hidden attractors

Ge Zhang

Department of Physics, Lanzhou University of Technology, Lanzhou 730050, P. R. China

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Fuqiang Wu

Department of Physics, Lanzhou University of Technology, Lanzhou 730050, P. R. China

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Chunni Wang

Department of Physics, Lanzhou University of Technology, Lanzhou 730050, P. R. China

NAAM-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

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, and

Jun Ma

Department of Physics, Lanzhou University of Technology, Lanzhou 730050, P. R. China

NAAM-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

E-mail Address: hyperchaos@163.com

Corresponding author.

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https://doi.org/10.1142/S0217979217501806Cited by:14 (Source: Crossref)

Abstract

Based on a class of chaotic system composed of hidden attractors, in which the equilibrium points are described by a circular function, complete synchronization between two identical systems, pattern formation and synchronization of network is investigated, respectively. A statistical factor of synchronization is defined and calculated by using the mean field theory, the dependence of synchronization on bifurcation parameters discussed in numerical way. By setting a chain network, which local kinetic is described by hidden attractors, synchronization approach is investigated. It is found that the synchronization and pattern formation are dependent on the coupling intensity and also the selection of coupling variables. In the end, open problems are proposed for readers’ extensive guidance and investigation.

Keywords:

PACS: 05.45.-a

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