Complete Synchronization of Coupled Multiple-time-delay Complex Chaotic System with Applications to Secure Communication

Zhang, F. F.

doi:10.5506/aphyspolb.46.1473

Cited by 12 publications

(5 citation statements)

References 34 publications

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“…Thus, V = −(e 2 1 + e 2 2 + e 2 3 + e 2 4 ) < 0 The proof is finished. Following the Lyapunov stability theory, the error system is asymptotically stable and the drive system (17) and response system (18) accomplish PS with the controller (20). We also inspect the proposed control technique in PS by reappearing simulations.…”

Section: E Projective Synchronization and Its Extensionsmentioning

confidence: 99%

“…Remark 9: Active control theory is widely used in obtaining chaos synchronization, because it has a simple theory and mechanism in constructing synchronization controllers. Although active control has many natural advantages in this field, active controllers (such as (20)) eliminate the nonlinear parts of response systems in fact. As a result, some characters of response chaotic system may vanish by the effect of active controller.…”

Section: E Projective Synchronization and Its Extensionsmentioning

confidence: 99%

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N-Systems Function Projective Combination Synchronization—A Review of Real and Complex Continuous Time Chaos Synchronization

et al. 2019

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As an important branch in the field of chaos, chaos synchronization (CHS) has attracted great attentions since it was firstly proposed. In this review article, numerous types of continuous time CHS are presented for the past 29 years. Previous CHS are divided into two major parts: one is CHS in real number field, and the other is CHS in complex number field. Some classic types of CHS, controllers and corresponding stability theories are preliminarily reviewed. Besides, a new type of chaos synchronization is proposed, which is called N-systems combination function projective synchronization (NCOFPS). Interestingly and importantly, most of these proposed types of CHS belong to NCOFPS. Then, time delay function projective synchronization (TDFPS) is also proposed, which is one of the types of NCOFPS and never studied in existed papers. And TDFPS controller, corresponding mathematical proof are obtained and simulation experiments illustrate the effectiveness of investigated controller. This paper provides a generalized view to catch the development of CHS in different fields. Finally, we give the conclusions and prospects of CHS.

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Section: E Projective Synchronization and Its Extensionsmentioning

confidence: 99%

Section: E Projective Synchronization and Its Extensionsmentioning

confidence: 99%

N-Systems Function Projective Combination Synchronization—A Review of Real and Complex Continuous Time Chaos Synchronization

et al. 2019

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“…However, time delay is an inevitable factor in actual complex chaotic systems. Therefore, many scholars have studied complex chaotic systems with time delay [ 9 , 10 , 11 ].…”

Section: Introductionmentioning

confidence: 99%

Time Delay Complex Chen Chaotic System and Secure Communication Scheme for Wireless Body Area Networks

Zhang

Leng

et al. 2020

Entropy

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Although many chaotic systems with time delays have been studied in recent years, most studies have only focused on the theoretical level, without special applications. Therefore, we present a basic introduction of a time delay complex Chen chaotic system, including the influence of parameter changes and time delay factors on the time delay system. On the basis of complex modified projection synchronization (CMPS), we detail the design of a new controller and communication scheme and apply this communication scheme to a wireless body area network (WBAN), in order to encrypt and decrypt body data collected by sensors. Finally, we perform a numerical simulation, demonstrating the effectiveness of the proposed communication scheme.

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“…Therefore, the cryptogram formed by adding time-delay chaotic signal has better security. Time-delay chaotic system becomes a hot issue in current chaotic secure communication researchs [2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

The Characteristics of Complex Chen CHAOTIC Systems with Time-delay and It’s Self-delay Synchronization Control

Leng

Liu

Zhang

et al. 2019

Proceedings of the 2019 International Conference on Big Data, Electronics and Communication Engineering (BDECE 2019)

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As for chaotic systems with time-delay, different studies have been done on chaotic communication. However, complex Chen system with time-delay have not been investigated so far, although it has potential applications in many important fields. Therefore, we first explore the natures of complex Chen chaotic system with time-delay, and study its self-delay synchronization. Firstly, a complex Chen system with time delay is introduced, and its chaotic characteristics are analyzed. Secondly, according to the error feedback principle, the self-delay synchronization controller is designed. Finally, the validity of the controller is verified by mathematical proof and computer simulation. Simulation results show that the controller is simple and easy to be realized in practice.

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Complete Synchronization of Coupled Multiple-time-delay Complex Chaotic System with Applications to Secure Communication

Cited by 12 publications

References 34 publications

N-Systems Function Projective Combination Synchronization—A Review of Real and Complex Continuous Time Chaos Synchronization

N-Systems Function Projective Combination Synchronization—A Review of Real and Complex Continuous Time Chaos Synchronization

Time Delay Complex Chen Chaotic System and Secure Communication Scheme for Wireless Body Area Networks

The Characteristics of Complex Chen CHAOTIC Systems with Time-delay and It’s Self-delay Synchronization Control

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