Pseudo-boundaries in discontinuous 2-dimensional maps

Details Pseudo-boundaries in discontinuous 2-dimensional maps Pseudo-boundaries in discontinuous 2-dimensional maps

1997-02-03

arxiv.org/abs/cond-mat/9702018v1

J. Phys. A31, 445-451 (1998)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, Revtex, epsf, submitted to Physical Review E (as a brief report)

Scientific paper

10.1088/0305-4470/31/2/006

It is known that Kolmogorov-Arnold-Moser boundaries appear in sufficiently smooth 2-dimensional area-preserving maps. When such boundaries are destroyed, they become pseudo-boundaries. We show that pseudo-boundaries can also be found in discontinuous maps. The origin of these pseudo-boundaries are groups of chains of islands which separate parts of the phase space and need to be crossed in order to move between the different sub-spaces. Trajectories, however, do not easily cross these chains, but tend to propagate along them. This type of behavior is demonstrated using a ``generalized'' Fermi map.

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