Synchronization of uncertain fractional-order hyperchaotic systems by using a new self-evolving non-singleton type-2 fuzzy neural network and its application to secure communication

Mohammadzadeh, Ardashir; Ghaemi, Sehraneh

doi:10.1007/s11071-016-3227-x

Cited by 52 publications

(6 citation statements)

References 43 publications

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“…According to Section 3.3, * 1 = (0, 5, 0, 0) is an equilibrium point of the hyperchaotic finance system (9). Next, the stabilization problem of system (9) will be studied, that is, designing a physically implementable controller to force the states of such system to the equilibrium point * 1 .…”

Section: Stabilization Of the New Hyperchaotic Finance System By A Simentioning

confidence: 99%

“…Next, the stabilization problem of system (9) will be studied, that is, designing a physically implementable controller to force the states of such system to the equilibrium point * 1 . Consider system (9). Obviously, if 1 = 0, then the following subsysteṁ2…”

Section: Stabilization Of the New Hyperchaotic Finance System By A Simentioning

confidence: 99%

“…Different from the ordinary chaos, the hyperchaotic system has at least two positive Lyapunov exponents and thus has more prominent advantages due to its higher dimensions and more unpredictable behaviors. Accordingly, the hyperchaotic systems have been investigated extensively, and various control techniques and approaches have been developed and utilized [7][8][9]. It should be pointed out that the above-mentioned works are based on the hyperchaotic models with complex structure.…”

Section: Introductionmentioning

confidence: 99%

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A Four-Dimensional Hyperchaotic Finance System and Its Control Problems

Cao

2018

Journal of Control Science and Engineering

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The construction and several control problems of a new hyperchaotic finance system are investigated in this paper. Firstly, a new four-dimensional hyperchaotic finance system is introduced, based on which a new hyperchaos is then generated by setting parameters. And the qualitative analysis is numerically studied to confirm the dynamical processes, for example, the bifurcation diagram, Poincaré sections, Lyapunov exponents, and phase portraits. Interestingly, the obtained results show that this new system can display complex characteristics: chaotic, hyperchaotic, and quasiperiodic phenomena occur alternately versus parameters. Secondly, three single input adaptive controllers are designed to realize the control problems of such system: stabilization, synchronization, and coexistence of antisynchronization and complete synchronization, respectively. It is noted that the designed controllers are simpler than the existing ones. Finally, numerical simulations are provided to demonstrate the validity and the effectiveness of the proposed theoretical results.

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Section: Stabilization Of the New Hyperchaotic Finance System By A Simentioning

confidence: 99%

Section: Stabilization Of the New Hyperchaotic Finance System By A Simentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Four-Dimensional Hyperchaotic Finance System and Its Control Problems

Cao

2018

Journal of Control Science and Engineering

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“…Generally, ANNOFA is represented as a multilayer feedforward NN, and it is well utilized to learn memberships and establish the nonlinear mapping relationships. It is also found that ANNOFA typically converges fast and generalized well [41]. With this in mind, an ANNOFA is implemented for the dynamic nonlinear modeling of MRE-base isolator.…”

Section: Introductionmentioning

confidence: 99%

Modeling the behaviors of magnetorheological elastomer isolator in shear-compression mixed mode utilizing artificial neural network optimized by fuzzy algorithm (ANNOFA)

Leng¹,

Xu²,

Ma³

et al. 2018

Smart Mater. Struct.

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The main purpose of this paper is to develop numerical models for the prediction and analysis of the highly nonlinear performances of magnetorheological elastomer (MRE) isolator in shear-compression mixed mode. Dynamic behaviors of MRE isolator is experimentally tested, and the unique strain-dependent, frequency-dependent-stiffening and field-induced performances are observed and analyzed. An artificial neutral network approach optimized by fuzzy algorithm (ANNOFA) system is proposed for approximately capturing the nonlinear functional relationship between inputs (displacement, frequency and current) and output (force) of MRE isolator. Comparisons of the trained ANNOFA models with experimental results demonstrate the proposed ANNOFA modeling framework is an effective way to describe the complex behavior of the MRE isolator. In addition, the proposed ANNOFA model has a better forecasting accuracy than the conventional models (e.g. viscoelastic model, Bouc–Wen model and nonparametric model with back propagation neutral network) in the nonlinear system identification of MRE isolator.

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“…Li and Wu accomplished secure communication of fractional chaotic systems with teaching-learning-feedback based optimization [30]. Mohammadzadeh and Ghaemi researched a secure communication with uncertain fractional hyperchaotic synchronization [31]. These proposed literatures make significant contributions in secure communication of fractional chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Secure Communication of Fractional Complex Chaotic Systems Based on Fractional Difference Function Synchronization

et al. 2019

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Fractional complex chaotic systems have attracted great interest recently. However, most of scholars adopted integer real chaotic system and fractional real and integer complex chaotic systems to improve the security of communication. In this paper, the advantages of fractional complex chaotic synchronization (FCCS) in secure communication are firstly demonstrated. To begin with, we propose the definition of fractional difference function synchronization (FDFS) according to difference function synchronization (DFS) of integer complex chaotic systems. FDFS makes communication secure based on FCCS possible. Then we design corresponding controller and present a general communication scheme based on FDFS. Finally, we respectively accomplish simulations which transmit analog signal, digital signal, voice signal, and image signal. Especially for image signal, we give a novel image cryptosystem based on FDFS. The results demonstrate the superiority and good performances of FDFS in secure communication.

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Synchronization of uncertain fractional-order hyperchaotic systems by using a new self-evolving non-singleton type-2 fuzzy neural network and its application to secure communication

Cited by 52 publications

References 43 publications

A Four-Dimensional Hyperchaotic Finance System and Its Control Problems

A Four-Dimensional Hyperchaotic Finance System and Its Control Problems

Modeling the behaviors of magnetorheological elastomer isolator in shear-compression mixed mode utilizing artificial neural network optimized by fuzzy algorithm (ANNOFA)

Secure Communication of Fractional Complex Chaotic Systems Based on Fractional Difference Function Synchronization

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