Characterization of chaos and complexity by properties of dynamical entropies

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The lecture deals with dissipative dynamical systems, which exhibit chaotic motion for certain values of the control parameters and concentrates on the properties of the chaotic state rather than on the scenarios leading to it. Among the relevant characteristics emphasis will be put on the various entropies (Kolmogorov-Sinai entropy, Rényi entropies) and on the decay properties of the truncated entropy. Their behaviour will be followed when parameters are changed in a way that the chaotic state is maintained. They will be shown to give account of the degree of stochasticity and complexity in the system. The discussion includes the properties of the universal chaos function and also those of an intermittent situation where a phase-transition like phenomenon occurs in the Rényi entropies.

Original languageEnglish
Pages (from-to)226-229
Number of pages4
JournalPhysica Scripta
Volume1989
Issue numberT25
DOIs
Publication statusPublished - Jan 1 1989

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chaos
Chaos
Entropy
entropy
Kolmogorov Entropy
Dissipative Dynamical System
Stochasticity
Chaotic Motion
Control Parameter
lectures
Phase Transition
dynamical systems
Decay
Scenarios
decay

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mathematical Physics
  • Atomic and Molecular Physics, and Optics

Cite this

Characterization of chaos and complexity by properties of dynamical entropies. / Szépfalusy, P.

In: Physica Scripta, Vol. 1989, No. T25, 01.01.1989, p. 226-229.

Research output: Contribution to journalArticle

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