Introduction to Deterministic Chaos with Lorenz Model : Study of Lorenz equations of motion

Study of Lorenz equations of motion
Introduction to Deterministic Chaos with Lorenz Model

Publication date: April 10, 2025 | Lire en français

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4. Study of Lorenz equations of motion

We're now going to look specifically at the dynamics generated by the Lorenz equations obtained in a hydrodynamic physical model (equations (5)) and in a very different mechanical model (equations (6)), which are recalled in this definition.

Definition 2. For variables $x (t) = (x_{1} (t), x_{2} (t), x_{3} (t)) \in ℝ^{3}$ ...

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Study of Lorenz equations of motion

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page A mechanical system: the Lorenz mill

Statistical properties

Bibliography

(1) - ARAÚJO (V.), MELBOURNE (I.), VARANDAS (P.) - Rapid mixing for the lorenz attractor and statistical limit laws for their time-1 maps. - Communications in Mathematical Physics, 340(3) : 901–938 (2015).
(2) - ARAÚJO (V.), MELBOURNE (I.) - Exponential decay of correlations for nonuniformly hyperbolic...

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Study of Lorenz equations of motion Introduction to Deterministic Chaos with Lorenz Model

4. Study of Lorenz equations of motion

Bibliography

Study of Lorenz equations of motion
Introduction to Deterministic Chaos with Lorenz Model