Abstract
In this chapter, we give a general overview of chaos in “dissipative” systems, in which energy (or its analog) is not constant. We will explain the three possible scenarios for transition toward chaos, and introduce concepts useful for the study of the said chaos, namely the strange attractor, the Poincare section, the fractal dimension, and self-similarity. We will discuss the difference between randomness and chaos and show that chaos, synonymous with a high sensitivity to initial conditions in deterministic systems (systems devoid of random effects), can be viewed from both probabilistic and statistical perspectives – approaches typically used for non-deterministic systems. We will discuss the concept of a “crisis”. We will finish with a brief discussion on controlling chaos.
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