Hyperchaotic Attractor in a Novel Hyperjerk System with Two Nonlinearities

被引：23

作者：

Daltzis, Peter ^{[1
]}

Vaidyanathan, Sundarapandian ^{[2
]}

Viet-Thanh Pham ^{[3
]}

Volos, Christos ^{[4
]}

Nistazakis, Ektoras ^{[1
]}

Tombras, George ^{[1
]}

机构：

[1] Univ Athens, Fac Phys, Dept Elect Comp Telecommun & Control, Athens, Greece

[2] Vel Tech Univ, Ctr Res & Dev, Madras 600062, Tamil Nadu, India

[3] Hanoi Univ Sci & Technol, Sch Elect & Telecommun, 01 Dai Co Viet, Hanoi, Vietnam

[4] Aristotle Univ Thessaloniki, Dept Phys, Thessaloniki 54124, Greece

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2018年 / 37卷 / 02期

关键词：

Hyperchaos; Hyperjerk system; Dynamics; Circuit; Control; Synchronization; CIRCUIT IMPLEMENTATION; NEURAL-NETWORKS; JERK SYSTEM; SYNCHRONIZATION; GENERATION; DYNAMICS;

D O I：

10.1007/s00034-017-0581-y

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Hyperjerk systems have received considerable interest in the literature because of their simplicity and complex dynamical properties. In this work, we introduce a novel hyperjerk system with an absolute nonlinearity and a quintic term. Interestingly, the hyperjerk system exhibits hyperchaotic behavior. Dynamics and the feasibility of the hyperjerk system are discovered by using numerical analysis and circuit implementation. Moreover, adaptive controllers have been designed for stabilization and synchronization of the new hyperjerk system. The control results have been established by using Lyapunov stability theory, and numerical simulations with MATLAB have been shown to illustrate the validity of the constructed adaptive controllers.

引用

页码：613 / 635

页数：23

共 50 条

[1] Hyperchaotic Attractor in a Novel Hyperjerk System with Two Nonlinearities [J].

Peter Daltzis ;

Sundarapandian Vaidyanathan ;

Viet–Thanh Pham ;

Christos Volos ;

Ektoras Nistazakis ;

George Tombras .

Circuits, Systems, and Signal Processing, 2018, 37 :613-635

[2] Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors [J].

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Vaidyanathan, Sundarapandian ;

Volos, Christos ;

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[3] Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors [J].

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[8] A New Chaotic Flow with Hidden Attractor: The First Hyperjerk System with No Equilibrium [J].

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[10] Hidden hyperchaotic attractor in a novel simple memristive neural network [J].

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