Realizing hybrid synchronization of time-delay hyperchaotic 4D systems via partial variables

A novel synchronization scheme called special hybrid projective synchronization (SHPS), in which different state variables can synchronize up to same positive or negative scaling factors, is proposed in this paper. For all the symmetric chaotic systems, research results demonstrate that the SHPS can be realized with a single-term linear controller. Taking unified chaotic system with unknown parameter as an example, based on Lyapunov stability theory, some sufficient conditions and a parameter update law are derived for the implementation of SPHS, which are verified by some corresponding numerical simulations.

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Synchronization behaviors of coupled systems composed of hidden attractors

Zhang

2017

Int. J. Mod. Phys. B

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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.

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Realizing hybrid synchronization of time-delay hyperchaotic 4D systems via partial variables

Cited by 3 publications

References 38 publications

Crack synchronization of chaotic circuits under field coupling

Crack synchronization of chaotic circuits under field coupling

A Special Hybrid Projective Synchronization in Symmetric Chaotic System With Unknown Parameter

Synchronization behaviors of coupled systems composed of hidden attractors

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