Basins of periodic orbits for elliptic maps of the torus View Full Text


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Article Info

DATE

1991-10

AUTHORS

Luciano Amadasi, Mario Casartelli

ABSTRACT

The behavior of basins of periodic orbits, for families of elliptic maps in the 2D torus depending on a parameter, is studied. We give an explicit formula for periodic orbits (i.e., central points of basins), considering also the occurrence of singular situations. Such a formula describes the evolution of basins, showing that onset and disappearance of periodic orbits cannot be reduced to a simple bifurcation scheme. Also, the stochastic features of the strange attractor at the border of ellipticity may be related to the dynamics of collapsing basins. More... »

PAGES

363-372

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01329864

DOI

http://dx.doi.org/10.1007/bf01329864

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1015779712


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