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Unfoldings of discrete dynamical systems

Published online by Cambridge University Press:  19 September 2008

Joel W. Robbin
Joel W. Robbin
Affiliation:
Mathematics Department, University of Wisconsin, Madison, WI 53706, USA
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Abstract

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A universal unfolding of a discrete dynamical system f0 is a manifold F of dynamical systems such that each system g sufficiently near f0 is topologically conjugate to an element f of F with the conjugacy φ and the element f depending continuously on f0. An infinitesimally universal unfolding of f0 is (roughly speaking) a manifold F transversal to the topological conjugacy class of f0. Using Nash-Moser iteration we show infinitesimally universal unfoldings are universal and (in part II) give a class of examples relating to moduli of stability introduced by Palis and De Melo.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 4 , Issue 3 , September 1984 , pp. 421 - 486
Copyright
Copyright © Cambridge University Press 1984

References

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