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Article | REF: BE8110 V1

Nonlinear dynamics, chaos and thermal effects

Authors: Gérard GOUESBET, Siegfried MEUNIER-GUTTIN-CLUZEL

Publication date: July 10, 2003, Review date: October 7, 2019

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4. Chaotic applications

Applications such as the (2) equation can also exhibit chaotic behavior. The most classic example is the logistic parabola depending on a variable x and a parameter µ.

We will introduce this equation by studying the behaviour of an isolated insect population on an island. The population x j + 1 of insects in summer (j + 1) depends, in a simple model, on the population x j in summer j, according to the relationship :

xj  +  1=rxj−sxj2

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