The correlation functions near intermittency in a one-dimensional piecewise parabolic map
Journal Article
·
· Journal of Statistical Physics
- Institut fuer Festkoerperforschung, Juelich (Germany)
- Eoetvoes Univ., Budapest (Hungary)
Piecewise parabolic maps constitute a family of maps in the fully developed chaotic state and depending on a parameter that can be smoothly tuned to a weakly intermittent situation. Approximate analytic expressions are derived for the corresponding correlation functions. These expressions produce power-law decay at intermittency and a crossover from power-law decay to exponential decay below intermittency. It is shown that the scaling functions and the exponent of the power law depend on the kind of the correlations.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 471806
- Journal Information:
- Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 5-6 Vol. 83; ISSN JSTPBS; ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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