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Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

Author

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  • Abir Lassoued
  • Olfa Boubaker

Abstract

A novel hyperchaotic system with fractional-order (FO) terms is designed. Its highly complex dynamics are investigated in terms of equilibrium points, Lyapunov spectrum, and attractor forms. It will be shown that the proposed system exhibits larger Lyapunov exponents than related hyperchaotic systems. Finally, to enhance its potential application, a related circuit is designed by using the MultiSIM Software. Simulation results verify the effectiveness of the suggested circuit.

Suggested Citation

  • Abir Lassoued & Olfa Boubaker, 2017. "Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms," Complexity, Hindawi, vol. 2017, pages 1-10, October.
    • Handle: RePEc:hin:complx:3273408
    DOI: 10.1155/2017/3273408
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    References listed on IDEAS

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    1. Ahmad Taher Azar & Christos Volos & Nikolaos A. Gerodimos & George S. Tombras & Viet-Thanh Pham & Ahmed G. Radwan & Sundarapandian Vaidyanathan & Adel Ouannas & Jesus M. Munoz-Pacheco, 2017. "A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization," Complexity, Hindawi, vol. 2017, pages 1-11, February.
    2. Radwan, A.G. & Soliman, A.M. & Elwakil, A.S. & Sedeek, A., 2009. "On the stability of linear systems with fractional-order elements," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2317-2328.
    3. Yu Feng & Zhouchao Wei & Uğur Erkin Kocamaz & Akif Akgül & Irene Moroz, 2017. "Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria," Complexity, Hindawi, vol. 2017, pages 1-11, May.
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    Cited by:

    1. Setoudeh, F. & Sedigh, A. Khaki, 2021. "Nonlinear analysis and minimum L2-norm control in memcapacitor-based hyperchaotic system via online particle swarm optimization," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Lu Liu & Shuo Zhang, 2018. "Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping," Complexity, Hindawi, vol. 2018, pages 1-14, June.
    3. Ren, Guodong & Xue, Yuxiong & Li, Yuwei & Ma, Jun, 2019. "Field coupling benefits signal exchange between Colpitts systems," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 45-54.

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