Synchronization and circuit simulation of a new double-wing chaos

Chen, Diyi; Wu, Cong; Liu, Chenfu; Ma, Xiaoyi; You, Yujing; Zhang, Run-Fan

doi:10.1007/s11071-011-0083-6

Cited by 35 publications

(21 citation statements)

References 37 publications

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“…In recent years, the idea of synchronization of chaotic systems has received a great deal of interest among scientists from various fields [1][2][3][4][5][6][7][8]. In their seminal paper, Pecora and Carroll addressed the synchronization of chaotic system by using a drive-response configuration.…”

Section: Introductionmentioning

confidence: 99%

Adaptive coupled synchronization among three coupled chaos systems and its application to secure communications

Zhang

Zhang²,

et al. 2016

J Wireless Com Network

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In this paper, the adaptive synchronization method of three coupled identical chaos systems is proposed. New generic criteria of global chaos synchronization and strict theoretical proofs are given. The unidirectional (bidirectional) coupled system will synchronize by adding three adaptive feedback gain equations. As an example, the three Rössler chaotic systems with unidirectional coupling are given to realize the adaptive coupled synchronization; at the same time, the three Lorenz chaotic systems donate the bidirectional coupling adaptive synchronization. This paper also extends the above adaptive synchronization method to secure chaos communications through the method of chaos masking. Based on the three coupled identical Lorenz chaotic systems, a novel method of chaos encryption is proposed, and the basic idea is that after encrypting two times in two transmitters and one receiver, information signal can be recovered exactly at the receiver end. In consideration of interfering random white noise, the results of encoding and decoding are simulated and analyzed for the multistage chaos synchronized system. By analyzing the characteristics of noise, this paper presents a de-noising method using wavelet transform. At last, a secure communications method for high amplitude information signal transmission based on chaotic masking is studied. With the MATLAB, the effects of signal de-noising could be demonstrated.

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Section: Introductionmentioning

confidence: 99%

Adaptive coupled synchronization among three coupled chaos systems and its application to secure communications

Zhang

Zhang²,

et al. 2016

J Wireless Com Network

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“…Chaos is too 2 Mathematical Problems in Engineering sensitive to the initial value and the unpredictability of the trend of the long time of chaos exists, so the chaos system is considered to be uncontrollable and two chaos systems are considered to be synchronous impossibly by people for a long time. The OGY method was proposed since 1990 and the chaos synchronization [12][13][14][15] was used by the United States Navy laboratories to get the secure communication firstly in 1990 that changed people's original idea. The control and synchronization of chaos has become a hot spot in the field of nonlinear science in recent years.…”

Section: Introductionmentioning

confidence: 99%

Low Model Analysis and Synchronous Simulation of the Wave Mechanics

Duan

Wang

Kan

2016

Mathematical Problems in Engineering

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The dynamic behavior of a chaotic system in the internal wave dynamics and the problem of the tracing and synchronization are investigated, and the numerical simulation is carried out in this paper. The globally exponentially attractive set and positive invariant set of the chaotic system are studied via constructing the positive definite and radial unbounded Lyapunov function. There are no equilibrium positions, periodic solutions, quasi-period motions, wandering recovering motions, and other chaotic attractors of the system out of the globally exponentially attractive set. Strange attractors can only locate in the globally exponentially attractive set. A feedback controller is designed for the chaotic system to realize the control of the unstable point. The second method of Lyapunov is used to discuss theoretically the rationality of the design of the controller. The driving-response synchronization method is used to realize the globally exponential synchronization. The numerical simulation is carried out by MATLAB software, and the simulation results show that the method is effective.

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“…In addition, it has advanced significantly due to the pioneering contributions made by many authors [7][8][9][10][11][12]. In addition, it has advanced significantly due to the pioneering contributions made by many authors [7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…In essence, chaos circuit has been a subject of increasing interest during the past two decade years, because of the applications of chaos in several areas and particularly in communication. In addition, it has advanced significantly due to the pioneering contributions made by many authors [7][8][9][10][11][12]. The main research is to discover new chaos in circuits and to further study complex dynamics of chaos in these circuits.…”

Section: Introductionmentioning

confidence: 99%

Circuit implementation and model of a new multi‐scroll chaotic system

Chen

Sun

Chen

2012

Circuit Theory & Apps

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In this paper, a multi-scroll chaotic system from the improved Chua's system is proposed. Moreover, non-linear dynamics are analyzed including phase-space trajectories, bifurcation diagrams, Poincaré maps and so on. The most important thing is that we discovered phase-space trajectories, bifurcation diagrams and Poincaré maps are unified and closely related, which can describe different aspects of the multi-scroll chaotic system. Furthermore, the corresponding improved module-based circuits are designed for realizing two to four-scroll chaotic attractors, and the experimental results are also obtained, which are consistent with the numerical simulations.

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Synchronization and circuit simulation of a new double-wing chaos

Cited by 35 publications

References 37 publications

Adaptive coupled synchronization among three coupled chaos systems and its application to secure communications

Adaptive coupled synchronization among three coupled chaos systems and its application to secure communications

Low Model Analysis and Synchronous Simulation of the Wave Mechanics

Circuit implementation and model of a new multi‐scroll chaotic system

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