Concepedia

Dynamical coherence of partially hyperbolic diffeomorphisms of the 3-torus

Michael Brin, Dmitri Burago, Sergei Ivanov

Journal of Modern Dynamics · 2009 · 79 citations · 6 references

Open access

Concepts

GeometryTopological DynamicDynamical CoherenceHyperbolic DiffeomorphismsGlobal AnalysisHyperbolic EquationQuasiconformal MappingTopological Invariant

Abstract

We show that partially hyperbolic diffeomorphisms of the 3-torus are dynamically coherent.

References

6

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Stephen T. Smale · Bulletin of the American Mathematical Society · 1967 · 3K citations · Full text

Deterministic Dynamical System, Discrete Dynamical System, Dynamical Analysis +2

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Lorenzo J. Díaz, Enrique Pujals, Raúl Ures · Acta Mathematica · 1999 · 129 citations · Full text

Torus T 2, Global Geometry, Partial Hyperbolicity +10

Stably Ergodic Dynamical Systems and Partial Hyperbolicity

Charles Pugh, Michael Shub · Journal of Complexity · 1997 · 121 citations

Deterministic Dynamical System, Partial Hyperbolicity, Discrete Dynamical System +2

Stable ergodicity of the time-one map of a geodesic flow

Amie Wilkinson · Ergodic Theory and Dynamical Systems · 1998 · 60 citations

Deterministic Dynamical System, Global Geometry, Stable Ergodicity +11

On dynamical coherence

Michael Brin · Ergodic Theory and Dynamical Systems · 2003 · 58 citations

Geometry, Coherence Resonance, Coherence +6