Weak attractors and invariant sets in Lorenz model | Zendy

Ilhem Djellit | Zendy; Amel Hachemi-Kara | Zendy

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Weak attractors and invariant sets in Lorenz model

Author(s) -

Ilhem Djellit,

Amel Hachemi-Kara

Publication year - 2011

Publication title -

facta universitatis - series electronics and energetics

Language(s) - English

Resource type - Journals

eISSN - 2217-5997

pISSN - 0353-3670

DOI - 10.2298/fuee1102271d

Subject(s) - attractor , invariant (physics) , chaotic , lorenz system , mathematics , statistical physics , complex dynamics , pure mathematics , mathematical analysis , computer science , physics , mathematical physics , artificial intelligence

A two-dimensional model is analyzed. It reflects the dynamic s occurring in discrete Lorenz model. Invariant sets are analytically d etected and the parameter space is investigated in order to classify completely regio ns of existence of stable 2- cycles, and regions associated with chaotic behaviors. This paper describes complex dynamics of invariant sets and weak attractors according to Tsybulin and Yudovich idea. These sets are displayed by numerical simulations.

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