Chaos

In this chapter we shall sketch a number of complicated phenomena which are tied in with the concept of “chaos” and “strange attraction”. There are scientists who see also a relation with the phenomenon of turbulence in continuum mechanics but this interesting idea involves still many unsolved problems. We shall restrict ourselves to a discussion of two examples from the various domains where these phenomena have been found: autonomous differential equations with dimension n ≥ 3, second-order forced differential equations like the forced van der Pol- or the forced Duffing equation and mappings of ℝ into ℝ, ℝ2 into ℝ2 etc.