Nonlinear dynamics, chaos and thermal effects : Dynamic behavior: from fixed point to chaos

Dynamic behavior: from fixed point to chaos
Nonlinear dynamics, chaos and thermal effects

Authors : Gérard GOUESBET, Siegfried MEUNIER-GUTTIN-CLUZEL

Review date: October 7, 2019 | Lire en français

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2. Dynamic behavior: from fixed point to chaos

For a broad preliminary survey of dynamic behaviors, we take the prototypical example of an oscillator governed by the Duffing equation:

\ddot{x} + k \dot{x} + x^{3} = A cos ω t

^( 3 )

extensively discussed in the reference

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Dynamic behavior: from fixed point to chaos

(1) - SMALE (S.) - Differentiable dynamical systems - . Bulletin of the American Mathematical Society, 73, p. 747-817 (1967).
(2) - LORENZ (E.N.) - Deterministic nonperiodic flow - . Journal of Atmospheric...

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