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A 5D hyperchaotic Sprott B system with coexisting hidden attractors

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  • Ojoniyi, Olurotimi S.
  • Njah, Abdulahi N.

Abstract

A novel five-dimensional (5D) hyperchaotic Sprott B system with ten terms including two quadratic nonlinear and only one control parameter is presented. This system is algebraically simpler than Lorenz and Lorenz-like 5D systems with twelve terms, three quadratic nonlinear including five or six control parameters. It is of interest to note that the 5D system has hidden attractors over the entire single control parameter space, apart from this, the only control parameter present also shows coexisting hidden hyperchaotic, symmetric chaotic and periodic attractors spread over the parameter space which have not been observed in any reported 5D hyperchaotic system. Numerical simulations of the dynamics of the proposed system are done with the Lyapunov exponents spectrum, Lyapunov dimensions, bifurcation diagrams, Poincare sections and phase space orbits.

Suggested Citation

  • Ojoniyi, Olurotimi S. & Njah, Abdulahi N., 2016. "A 5D hyperchaotic Sprott B system with coexisting hidden attractors," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 172-181.
    • Handle: RePEc:eee:chsofr:v:87:y:2016:i:c:p:172-181
    DOI: 10.1016/j.chaos.2016.04.004
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    References listed on IDEAS

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    1. Chen, Aimin & Lu, Junan & Lü, Jinhu & Yu, Simin, 2006. "Generating hyperchaotic Lü attractor via state feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 103-110.
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    2. Signing, V.R. Folifack & Kengne, J. & Pone, J.R. Mboupda, 2019. "Antimonotonicity, chaos, quasi-periodicity and coexistence of hidden attractors in a new simple 4-D chaotic system with hyperbolic cosine nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 187-198.
    3. Ramamoorthy, Ramesh & Rajagopal, Karthikeyan & Leutcho, Gervais Dolvis & Krejcar, Ondrej & Namazi, Hamidreza & Hussain, Iqtadar, 2022. "Multistable dynamics and control of a new 4D memristive chaotic Sprott B system," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    4. Han Bao & Tao Jiang & Kaibin Chu & Mo Chen & Quan Xu & Bocheng Bao, 2018. "Memristor-Based Canonical Chua’s Circuit: Extreme Multistability in Voltage-Current Domain and Its Controllability in Flux-Charge Domain," Complexity, Hindawi, vol. 2018, pages 1-13, March.
    5. Pham, Viet–Thanh & Jafari, Sajad & Volos, Christos & Kapitaniak, Tomasz, 2016. "A gallery of chaotic systems with an infinite number of equilibrium points," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 58-63.
    6. Sangpet, Teerawat & Kuntanapreeda, Suwat, 2020. "Finite-time synchronization of hyperchaotic systems based on feedback passivation," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
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    8. Fei Yu & Wuxiong Zhang & Xiaoli Xiao & Wei Yao & Shuo Cai & Jin Zhang & Chunhua Wang & Yi Li, 2023. "Dynamic Analysis and FPGA Implementation of a New, Simple 5D Memristive Hyperchaotic Sprott-C System," Mathematics, MDPI, vol. 11(3), pages 1-15, January.

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