The bifurcation of periodic orbits of one-dimensional maps

Author:

Block Louis,Hart David

Abstract

AbstractThe bifurcation of C1-continuous families of maps of the interval or circle is studied. It is shown, for example, that period-tripling cannot occur. This yields topological properties of the stratification of C1(I, I) induced by the Sarkovskii order, and corresponding bifurcation properties.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

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3. Quantitative universality for a class of nonlinear transformations

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