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Pseudo-boundaries in discontinuous 2-dimensional maps

Oded Farago·Yacov Kantor
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Abstract

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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BibTeXRIS

Oded Farago, Yacov Kantor. 1997-02-03. Pseudo-boundaries in discontinuous 2-dimensional maps. https://doi.org/10.1088/0305-4470/31/2/006

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