Introduction
In this chapter, we will give a brief introduction to some aspects of chaos theory. This task is by no means easy: despite more than four decades of intense research in this area, there is still no general agreement as to what the word chaos should really mean. In fact, there appears to exist almost a continuum of definitions of a chaotic system, all slightly tweaked to suit each researcher’s specific needs. In this overview, we will present several chaotic systems, such as discrete interval maps and three-dimensional continuous strange attractors.
This account does by no means give a complete introduction to the vast theory of chaotic dynamical systems. For some nice, and more comprehensive, introductions to this topic, we refer to e.g. [HW91, Ro95, PT93, Vi97].
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Tucker, W. (2009). Fundamentals of Chaos. In: Kocarev, L., Galias, Z., Lian, S. (eds) Intelligent Computing Based on Chaos. Studies in Computational Intelligence, vol 184. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-95972-4_1
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