Analysis of a New Quadratic 3D Chaotic Attractor

Shahed Vahedi and Mohd Salmi Md Noorani

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:540769

DOI: 10.1155/2013/540769

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