THE CORRELATION-FUNCTIONS NEAR INTERMITTENCY IN A ONE-DIMENSIONAL PIECEWISE PARABOLIC MAP

Piecewise parabolic maps constitute a Family of maps in the fully deve loped chaotic state and depending on a parameter that can be smoothly tuned to a weakly intermittent situation. Approximate analytic express ions are derived for the corresponding correlation functions. These ex pressions produce power-law decay at intermittency and a crossover fro m power-law decay to exponential decay below intermittency. It is show n that the scaling Functions and the exponent of the power law depend on the kind of the correlations.