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2013 Analysis of a New Quadratic 3D Chaotic Attractor
Shahed Vahedi, Mohd Salmi Md Noorani
Abstr. Appl. Anal. 2013: 1-7 (2013). DOI: 10.1155/2013/540769


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.


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Shahed Vahedi. Mohd Salmi Md Noorani. "Analysis of a New Quadratic 3D Chaotic Attractor." Abstr. Appl. Anal. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1383.34065
MathSciNet: MR3055958
Digital Object Identifier: 10.1155/2013/540769

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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