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Analysis of a New Quadratic 3D Chaotic Attractor

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  • Shahed Vahedi
  • Mohd Salmi Md Noorani

Abstract

A new three‐dimensional chaotic system is introduced. Basic properties of this system show that its corresponding attractor is topologically different from some well‐known systems. Next, detailed information on dynamic of this system is obtained numerically by means of Lyapunov exponents spectrum, bifurcation diagrams, and 0‐1 chaos indicator test. We finally prove existence of this chaotic attractor theoretically using Shil’nikov theorem and undetermined coefficient method.

Suggested Citation

  • Shahed Vahedi & Mohd Salmi Md Noorani, 2013. "Analysis of a New Quadratic 3D Chaotic Attractor," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:540769
    DOI: 10.1155/2013/540769
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    References listed on IDEAS

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    1. Qi, Guoyuan & Chen, Guanrong & Du, Shengzhi & Chen, Zengqiang & Yuan, Zhuzhi, 2005. "Analysis of a new chaotic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 295-308.
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    Cited by:

    1. Baogui Xin & Yuting Li, 2013. "0‐1 Test for Chaos in a Fractional Order Financial System with Investment Incentive," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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