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The correlation functions near intermittency in a one-dimensional Piecewise parabolic map (1996)

Lustfeld, H. ; Bene, J. ; Kaufmann, Z.

Springer

Journal of statistical physics 83 (1996), S. 1199-1210

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ISSN: 1572-9613

Keywords: Weak intermittency ; chaos ; phase transition ; correlation function ; scaling function ; crossover behavior ; critical slowing down

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02179558

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