Complex function projective synchronization of complex chaotic system and its applications in secure communication

Liu, Shutang; Zhang, Fangfang

doi:10.1007/s11071-013-1192-1

Cited by 83 publications

(46 citation statements)

References 28 publications

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“…Compared with other examples of communication system based on real chaotic system [20][21][22][23][24][25][26][27][28][29][30] and complex chaotic system [31][32][33][34], the above results of experimental simulations show the proposed secure communication scheme based on LS of complex chaotic system has many advantages.…”

Section: Simulations Results and Discussionmentioning

confidence: 83%

Lag Synchronization of Complex Lorenz System with Applications to Communication

Zhang

2015

Entropy

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In communication, the signal at the receiver end at time t is the signal from the transmitter side at time t − τ (τ ≥ 0 and it is the lag time) as the time lag of transmission. Therefore, lag synchronization (LS) is more accurate than complete synchronization to design communication scheme. Taking complex Lorenz system as an example, we design the LS controller according to error feedback. Using chaotic masking, we propose a communication scheme based on LS and independent component analysis (ICA). It is suitable to transmit multiple messages with all kinds of amplitudes and it has the ability of anti-noise. Numerical simulations verify the feasibility and effectiveness of the presented schemes.

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Section: Simulations Results and Discussionmentioning

confidence: 83%

Lag Synchronization of Complex Lorenz System with Applications to Communication

Zhang

2015

Entropy

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“…Controlled synchronization can be achieved in dynamical systems on chaotic regime [3][4][5][6][7][8]. However, in practice, chaos synchronization is far from being straightforward because different aspects, as the presence of external disturbances and parameter uncertainties, affect significantly the ability of systems to synchronize.…”

Section: Introductionmentioning

confidence: 99%

Robust Output Synchronization of Arrays of Chaotic Sprott Circuits

Solis¹,

Almeida²

2017

Advances in Mathematical Physics

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This article presents a technique for synchronizing arrays of a class of chaotic systems known as Sprott circuits. This technique can be applied to different topologies and is robust to parametric uncertainties caused by tolerances in the electronic components. The design of coupling signals is based on the definition of a set of functionals which depend on the errors between the outputs of the nodes and the errors between the output of a reference system and the outputs of the nodes. When there are no parametric uncertainties, we establish a criterion to design the coupling signals using only one state variable of each system. When the parametric uncertainties are present, we add a robust observer and a low pass filter to estimate the perturbation terms, which are subsequently compensated through the coupling signals, resulting in a robust closed loop system. The performance of the synchronization technique is illustrated by real-time simulations.

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“…Since Fowler et al [26] introduced the complex Lorenz equations, chaotic synchronization in CDN has been extensively studied; approaches include finite-time synchronization of CDN with CCS [27], and pinning synchronization of CDN with CCS [28]. Various patterns of synchronization for CCS have been investigated, including PS [29], modified PS (MPS) [30], hybrid PS [31], modified projective phase synchronization (MPPS) [32], complex PS (CPS) [33,34] and complex FPS (CFPS) [35].…”

Section: Introductionmentioning

confidence: 99%

“…Among these methods, CFPS synchronizes the drive-response CCSs with a desired complex scaling function for both modulus and phase of their trajectories [35]. In practice, the relationship between the drive and response CCSs may evolve in different directions with a complex variable [33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Complex function projective synchronization of general networked chaotic systems by using complex adaptive fuzzy logic

Lee

Won

2015

Nonlinear Dyn

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This paper is concerned with the problem of complex function projective synchronization for uncertain networked chaotic complex systems. Based on Lyapunov stability, an adaptive control method is proposed for complex modified projective synchronization, which guarantees that the general drive-response networked chaotic complex systems are synchronized up to a complex scaling function matrix. Moreover, a complex fuzzy logic-based observer is designed to compensate for the model uncertainties and the external disturbances that exist in response networks, without prior information about uncertain factors. Numerical simulations are presented to demonstrate the effectiveness of the proposed method.

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Complex function projective synchronization of complex chaotic system and its applications in secure communication

Cited by 83 publications

References 28 publications

Lag Synchronization of Complex Lorenz System with Applications to Communication

Lag Synchronization of Complex Lorenz System with Applications to Communication

Robust Output Synchronization of Arrays of Chaotic Sprott Circuits

Complex function projective synchronization of general networked chaotic systems by using complex adaptive fuzzy logic

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