Chaos in general

This kind of behaviour — called chaotic behaviour — has no generally accepted, strict in the mathematical sense definition, so we mention some of the other characteristics. 

Another characteristic of the solutions of such an equation is that they not only look like realisations of stochastic processes, they can be proved to have the same properties if one uses statistical methods. 

It is a promising fact that the routes to chaos are qualitatively universal there exist sequences of events that occur when a parameter of the right-hand side is changed until the chaotic regime is reached. 

The reader can obtain a detailed, and more rigorous and vivid, introduction to the topic when he turns to the recent collection of papers edited by Holden (1986) (see also Berge et al., 1983). 

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