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Hyperchaotic Attractor in a Novel Hyperjerk System with Two Nonlinearities

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Abstract

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.

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Acknowledgements

The authors acknowledge Prof. GuanRong Chen, Department of Electronic Engineering, City University of Hong Kong, for suggesting many helpful references.

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Authors and Affiliations

  1. Department of Electronics, Computers, Telecommunications and Control, Faculty of Physics, National and Kapodistrian University of Athens, Athens, Greece

    Peter Daltzis, Ektoras Nistazakis & George Tombras

  2. Research and Development Centre, Vel Tech University, Avadi, Chennai, 600062, India

    Sundarapandian Vaidyanathan

  3. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam

    Viet–Thanh Pham

  4. Department of Physics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece

    Christos Volos

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  1. Peter Daltzis
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  2. Sundarapandian Vaidyanathan
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  3. Viet–Thanh Pham
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  5. Ektoras Nistazakis
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Correspondence to Viet–Thanh Pham.

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Daltzis, P., Vaidyanathan, S., Pham, V. et al. Hyperchaotic Attractor in a Novel Hyperjerk System with Two Nonlinearities. Circuits Syst Signal Process 37, 613–635 (2018). https://doi.org/10.1007/s00034-017-0581-y

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