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Analysis and experimental verification of a new chaotic system with hyperbolic/non-hyperbolic equilibria

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  • Öztürk, İsmail
  • Kılıç, Recai

Abstract

A new three dimensional ordinary differential equation-based chaotic system is proposed in this paper. Unlike the majority of the chaotic systems available in the literature, the proposed system has a hyperbolic and a non-hyperbolic equilibrium. The dynamical behavior of the system is investigated by the analysis of eigenvalues, bifurcation diagrams, and Lyapunov exponents. The chaotic behavior of the system is verified by an electronic circuit realization. The experimental behavior is in agreement with numerical investigations.

Suggested Citation

  • Öztürk, İsmail & Kılıç, Recai, 2018. "Analysis and experimental verification of a new chaotic system with hyperbolic/non-hyperbolic equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 183-191.
    • Handle: RePEc:eee:chsofr:v:117:y:2018:i:c:p:183-191
    DOI: 10.1016/j.chaos.2018.10.028
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    References listed on IDEAS

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    1. Qi, Guoyuan & van Wyk, Michaël Antonie & van Wyk, Barend Jacobus & Chen, Guanrong, 2009. "A new hyperchaotic system and its circuit implementation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2544-2549.
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