Pierre Berger, Alejandro Kocsard
Published 2013-06-28Version 1
We prove that every endomorphism which satisfies Axiom A and the strong transversality conditions is $C^1$-inverse limit structurally stable. These conditions were conjectured to be necessary and sufficient. This result is applied to the study of unfolding of some homoclinic tangencies. This also achieves a characterization of $C^1$-inverse limit structurally stable covering maps.
Automorphism Groups of Endomorphisms of $\mathbb{P}^1 (\bar{\mathbb{F}}_p)$
Unifying Dynamical and Structural Stability of Equilibriums
Lectures on Structural Stability in Dynamics
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