The bifurcation of periodic orbits of one-dimensional maps
The bifurcation of periodic orbits of one-dimensional maps
Abstract The bifurcation of C 1 -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 C 1 ( I, I ) induced by the Sarkovskii order, and corresponding bifurcation properties.