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Robust nonhyperbolic dynamics and heterodimensional cycles

Published online by Cambridge University Press:  19 September 2008

Lorenzo J. Díaz
Lorenzo J. Díaz
Affiliation:
Dto. Matemática, PUC-Rio, R. Marquês de S. Vicente 225, 22453 Rio de Janeiro, Brazil
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Abstract

We describe an open set A of arcs of diffeomorphisms bifurcating through the creation of heterodimensional cycles for which every diffeomorphism after the bifurcation is nonhyperbolic or unstable. We also prove that generically in A the borning nonwandering set is transitive and local maximal for a full (Lebesgue) set of parameter values.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 2 , April 1995 , pp. 291 - 315
Copyright
Copyright © Cambridge University Press 1995

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