Universal Scaling Properties of Nonlinear Dissipative Systems
As was pointed out by different authors, there is a striking resemblance of chaotic phenomena to critical phenomena (see e.g. /1/). In particular the concepts of scaling and universality are crucial for the understanding of both. The most interesting universal properties of chaotic systems are connected with transitions from ordered to chaotic motions and vice versa, as well as transitions from one chaotic regime to another. Such transitions occur if a control parameter is varied, and in many cases the system behaviour is complicated near the critical point where the transition occurs.
KeywordsChaotic System Chaotic Attractor Chaotic Motion Dissipative System Period Doubling Bifurcation
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