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Simulation and experimental implementation of a line–equilibrium system without linear term

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  • Pham, Viet–Thanh
  • Jafari, Sajad
  • Volos, Christos
  • Fortuna, Luigi

Abstract

Simulation and experimental implementation have been applied to investigate a new chaotic flow, which has a line of equilibria. The new chaotic flow is based on a general model. The system has five non-linear terms and only one parameter, therefore it is considered as a system without linear terms. By changing the only parameter, we observe system’s dynamics. The system is realized in a circuit, which is measured for comparison of simulations and experiments.

Suggested Citation

  • Pham, Viet–Thanh & Jafari, Sajad & Volos, Christos & Fortuna, Luigi, 2019. "Simulation and experimental implementation of a line–equilibrium system without linear term," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 213-221.
    • Handle: RePEc:eee:chsofr:v:120:y:2019:i:c:p:213-221
    DOI: 10.1016/j.chaos.2019.02.003
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    References listed on IDEAS

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    1. Chen, Yuming & Yang, Qigui, 2015. "A new Lorenz-type hyperchaotic system with a curve of equilibria," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 112(C), pages 40-55.
    2. Jafari, Sajad & Sprott, J.C., 2013. "Simple chaotic flows with a line equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 79-84.
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    Cited by:

    1. Li, Chunbiao & Gu, Zhenyu & Liu, Zuohua & Jafari, Sajad & Kapitaniak, Tomasz, 2021. "Constructing chaotic repellors," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Gong, Li-Hua & Luo, Hui-Xin & Wu, Rou-Qing & Zhou, Nan-Run, 2022. "New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    3. Njitacke, Zeric Tabekoueng & Doubla, Isaac Sami & Mabekou, Sandrine & Kengne, Jacques, 2020. "Hidden electrical activity of two neurons connected with an asymmetric electric coupling subject to electromagnetic induction: Coexistence of patterns and its analog implementation," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).

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