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The bifurcation of periodic orbits of one-dimensional maps

Published online by Cambridge University Press:  19 September 2008

Louis Block  and
David Hart
Louis Block
Affiliation:
Department of Mathematics, University of Florida, Gainesville, Florida 32611, USA
David Hart
Affiliation:
Department of Mathematics, University of Florida, Gainesville, Florida 32611, USA
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 2 , June 1982 , pp. 125 - 129
Copyright
Copyright © Cambridge University Press 1982

References

REFERENCES

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