Nonlinear Phenomena in Complex Systems, 2006, Vol.9, No.2, pp.178-182

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2006, Vol.9, No.2, pp.178-182

Scaling Exponents of the Slow Relaxation in Non-hyperbolic Chaotic Dynamics.
T. Akimoto and Y. Aizawa

We study mechanisms of the slow relaxation in non-hyperbolic dynamics by use of the modified Bernoulli map. First, scaling exponents which describe the convergence speed of the relaxation function are numerically determined as a function of the system parameter. Secondly, the initial ensemble dependence of the scaling index of the renewal function is obtained theoretically as well as numerically. Finally, we emphasize that the onset of the slow relaxation is strongly correlated to the stationary-nonstationary transition point.
Key words: non-hyperbolic dynamical system, non-stationary chaos, infinite measure

Full text: Acrobat PDF (192KB)