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Volume 3, Number 2, 2013, Pages 123-132                                                                DOI:10.11948/2013010
Strange Attractors In A Periodically Perturbed Lorenz-Like Equation
Fengjuan Chen,Liqun Zhou
Keywords:Homoclinic tangle
Abstract:
      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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