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SariM A. MONOGRAPHS AND TREATISES Pubtlthad 77UMVolume 1: From Order to Chaos L P. Kadanoff

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Properties of the basins of noninvertible maps of a plane are studied using the method of critical curves. Different kinds of basin bifurcation, some of them leading to basin boundary fractalization are described. More particularly the paper considers the simplest class of maps that of a phase plane which is made up of two regions, one with two preimages, the other with no preimage.