Abstract
The nature of the behavior exhibited by a chaotic system is determined by the infinite number of invariant sets existing in its chaotic region. The great variety of chaotic phenomena that we observe results from the limitless variation in the types of invariant sets contained by the systems we encounter. The nature of the invariant sets that appear in any given system and the resulting behavior that it exhibits depend both on the type of system in question and the values of the various parameters characterizing it. For a nonequilibrium open system, as the values of such parameters are changed, the qualitative nature of the system’s behavior is seen to assume many forms, as it experiences the emergence, development and bifurcation of chaos.
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© 1998 Springer-Verlag Berlin Heidelberg
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Mori, H., Kuramoto, Y. (1998). Chaotic Bifurcations and Critical Phenomena. In: Dissipative Structures and Chaos. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80376-5_12
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DOI: https://doi.org/10.1007/978-3-642-80376-5_12
Publisher Name: Springer, Berlin, Heidelberg
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