Designing torus-doubling solutions to discrete time systems by hybrid projective synchronization

Xie, Hui; Wen, Guilin

doi:10.1016/j.cnsns.2013.04.007

Cited by 4 publications

(1 citation statement)

References 32 publications

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“…Mainieri and Rehacek [9] first proposed the chaos projective synchronization scheme in 1999, but it was still very difficult to achieve projective synchronization between two or more chaotic nonlinear systems until Wen et al [10,11] presented an observer-based control scheme for projective chaos synchronization in 2004, whose prominent advantage is "no special limitation" for nonlinear dynamical systems to achieve projective chaos synchronization. Wen and co-authors also tried to explore the potential applications of projective synchronization to noise reduction in mechanical engineering [12,13], design bifurcation solutions [14,15] and so on.…”

Section: Introductionmentioning

confidence: 99%

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Xin

2015

Entropy

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A projective synchronization scheme for a kind of n-dimensional discrete dynamical system is proposed by means of a linear feedback control technique. The scheme consists of master and slave discrete dynamical systems coupled by linear state error variables. A kind of novel 3-D chaotic discrete system is constructed, to which the test for chaos is applied. By using the stability principles of an upper or lower triangular matrix, two controllers for achieving projective synchronization are designed and illustrated with the novel systems. Lastly some numerical simulations are employed to validate the effectiveness of the proposed projective synchronization scheme.

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Section: Introductionmentioning

confidence: 99%

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Xin

2015

Entropy

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Chaos Synchronization in Complex Oscillators Networks with Time Delay via Adaptive Complex Feedback Control

Wei

Wang

2014

Circuits Syst Signal Process

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Hybrid function projective synchronization in complex dynamical networks

Wei

Wang

2014

AIP Advances

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This paper investigates hybrid function projective synchronization in complex dynamical networks. When the complex dynamical networks could be synchronized up to an equilibrium or periodic orbit, a hybrid feedback controller is designed to realize the different component of vector of node could be synchronized up to different desired scaling function in complex dynamical networks with time delay. Hybrid function projective synchronization (HFPS) in complex dynamical networks with constant delay and HFPS in complex dynamical networks with time-varying coupling delay are researched, respectively. Finally, the numerical simulations show the effectiveness of theoretical analysis.

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Designing torus-doubling solutions to discrete time systems by hybrid projective synchronization

Cited by 4 publications

References 32 publications

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Chaos Synchronization in Complex Oscillators Networks with Time Delay via Adaptive Complex Feedback Control

Hybrid function projective synchronization in complex dynamical networks

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