The bifurcation of periodic orbits of one-dimensional maps
Open Access
- 1 June 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 2 (2) , 125-129
- https://doi.org/10.1017/s0143385700001450
Abstract
The 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.Keywords
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