Within the framework of a 1D model we study systems which are extended in certain directions but are restricted in size and open in other directions. Besides the coefficient D characterizing diffusion on the chaotic repeller, a coefficient D^ is introduced to measure the broadening of the distribution of trajectories during the transiently chaotic motion and is expressed in terms of the correlation function suitably defined for transient chaos. It is shown that there is a situation where two smooth conditionally invariant measures exist resulting in nonuniqueness of both diffusion coefficients.
ASJC Scopus subject areas
- Physics and Astronomy(all)