STRANGE ATTRACTORS IN A PERIODICALLY PERTURBED LORENZ-LIKE EQUATION | Zendy

Fengjuan Chen | Zendy; Liqun Zhou | Zendy

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STRANGE ATTRACTORS IN A PERIODICALLY PERTURBED LORENZ-LIKE EQUATION

Author(s) -

Fengjuan Chen,

Liqun Zhou

Publication year - 2013

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2013010

Subject(s) - attractor , lebesgue measure , measure (data warehouse) , lorenz system , mathematics , chaotic , mathematical analysis , lebesgue integration , pure mathematics , computer science , database , artificial intelligence

This paper studies a periodically perturbed Lorenz-like equation.We obtain three types of attractors: (i) periodic sinks, (ii) H¶enon-like attrac-tors, and (iii) rank one attractors. Among the three, (i) represent the stabledynamics of equation, and (ii) and (iii) represent chaotic behaviors character-ized by an Sinai-Ruelle-Bowen(SRB) measure. Each attractor admits an basinof positive Lebesgue measure, hence we observe it in numerical simulations.

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