Analysis of a New Quadratic 3D Chaotic Attractor

Shahed Vahedi and Mohd Salmi Md Noorani

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/540769

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:540769

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