Dynamic behavior: from fixed point to chaos
Nonlinear dynamics, chaos and thermal effects
Article REF: BE8110 V1
Dynamic behavior: from fixed point to chaos
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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2. Dynamic behavior: from fixed point to chaos

2.1 Duffing equation, oscillators

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

x¨+kx˙+x3=A cos  ω t( 3 )

extensively discussed in the reference

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