Analysis of a New Quadratic 3D Chaotic Attractor | Zendy

Shahed Vahedi | Zendy; Mohd Salmi Md Noorani | Zendy

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Analysis of a New Quadratic 3D Chaotic Attractor

Author(s) -

Shahed Vahedi,

Mohd Salmi Md Noorani

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/540769

Subject(s) - attractor , mathematics , lyapunov exponent , chaotic , quadratic equation , bifurcation , bifurcation diagram , rössler attractor , mathematical analysis , pure mathematics , statistical physics , nonlinear system , geometry , computer science , physics , quantum mechanics , artificial intelligence

A new three-dimensional chaotic system is introduced. Basic properties of this system show that its corresponding attractor istopologically different from some well-known systems. Next, detailed informationon dynamic of this system is obtained numerically by means of Lyapunovexponents spectrum, bifurcation diagrams, and 0-1 chaos indicator test. Wefinally prove existence of this chaotic attractor theoretically using Shil’nikovtheorem and undetermined coefficient method

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