Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System | Zendy

Huijian Zhu | Zendy

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Harmonic Balance Method for Chaotic Dynamics in Fractional-Order Rössler Toroidal System

Author(s) -

Huijian Zhu

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/593856

Subject(s) - chaotic , harmonic balance , toroid , computation , harmonic , computer science , order (exchange) , control theory (sociology) , mathematics , statistical physics , physics , algorithm , nonlinear system , plasma , acoustics , quantum mechanics , control (management) , finance , artificial intelligence , economics

This paper deals with the problem of determining the conditions under which fractional order Rössler toroidal system can give rise to chaotic behavior. Based on the harmonic balance method, four detailed steps are presented for predicting the existence and the location of chaotic motions. Numerical simulations are performed to verify the theoretical analysis by straightforward computations

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