Time-reversible dissipative ergodic maps
- 1 March 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 53 (3) , 2123-2129
- https://doi.org/10.1103/physreve.53.2123
Abstract
We construct especially simple families of piecewise-linear two-dimensional continuous maps. These maps generate sets of points resembling continuous dynamical trajectories sampled at discrete times. The generated sets of points share many properties with nonequilibrium many-body phase-space trajectories. These characteristic properties include (i) time reversibility, (ii) multifractal attractor-repellor pairs, and (iii) ergodicity, without stable fixed points or holes. © 1996 The American Physical Society.Keywords
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