The correlation functions near intermittency in a one-dimensional Piecewise parabolic map
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Abstract
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.
Key Words
Weak intermittency chaos phase transition correlation function scaling function crossover behavior critical slowing downPreview
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© Plenum Publishing Corporation 1996