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5 papers · 2 filters
Explosion of smoothness for conjugacies between multimodal maps
Jose F. Alves, Vilton Pinheiro, Alberto A. Pinto
Let and be smooth multimodal maps with no periodic attractors and no neutral points. If a topological conjugacy between and is at a point in the nearby…
Flows near Compact Invariant Sets - Part I
Pedro Teixeira
In this paper it is proved that near a compact, invariant, proper subset of a continuous flow on a compact, connected metric space, at least one, out of twenty eight relevant dynam…
Ergodic properties of Viana-like maps with singularities in the base dynamics
José Ferreira Alves, Daniel Schnellmann
We consider two examples of Viana maps for which the base dynamics has singularities (discontinuities or critical points) and show the existence of a unique absolutely continuous i…
Non-Uniform hyperbolicity for infinite dimensional cocycles
Mario Bessa, Maria Carvalho
Let H be an infinite dimensional separable Hilbert space, X a compact Hausdorff space and f : X \rightarrow X a homeomorphism which preserves a Borel ergodic measure which is posit…
A remark on the topological stability of symplectomorphisms
Mario Bessa, Jorge Rocha
We prove that the C1 interior of the set of all topologically stable C1 symplectomorphisms is contained in the set of Anosov symplectomorphisms.