Continuous-time chaotic attractors
Nonlinear dynamics, chaos and thermal effects
Article REF: BE8110 V1
Continuous-time chaotic attractors
Nonlinear dynamics, chaos and thermal effects

Authors : Gérard GOUESBET, Siegfried MEUNIER-GUTTIN-CLUZEL

Publication date: July 10, 2003, Review date: October 7, 2019 | Lire en français

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3. Continuous-time chaotic attractors

3.1 Lorenz system

The Lorenz system results from a truncation of fluid mechanics equations motivated by meteorological studies for a thermal convection problem in a box. It is written in the form of three non-linearly coupled ODEs:

x˙=σ(xy)

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