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.
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J. Bene, Z. Kaufmann, and H. Lustfeld, Preprint.
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Communicated by J. L. Lebowitz
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Lustfeld, H., Bene, J. & Kaufmann, Z. The correlation functions near intermittency in a one-dimensional Piecewise parabolic map. J Stat Phys 83, 1199–1210 (1996). https://doi.org/10.1007/BF02179558
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DOI: https://doi.org/10.1007/BF02179558