Escape rate from strange sets as an eigenvalue
- 1 August 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 36 (3) , 1502-1505
- https://doi.org/10.1103/physreva.36.1502
Abstract
A new method, based on the eigenvalue problem of the master equation of discrete dynamical systems, is applied to the calculation of the escape rate from chaotic repellers or semiattractors. The corresponding eigenfunction is found to be smooth along unstable directions and to be, in general, a fractal measure. Examples of one- and two-dimensional maps are investigated.Keywords
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