6533b7d2fe1ef96bd125f67d

RESEARCH PRODUCT

Conjugate unstable manifolds and their underlying geometrized Markov partitions

Gioia M. Vago

subject

Discrete mathematicsSmale diffeomorphismsMathematics::Dynamical SystemsMarkov chainInvariant manifoldsGeometrized Markov partitionsPoint (geometry)Geometry and TopologyMathematics::Symplectic GeometryMathematics::Geometric TopologyConjugateMathematics

description

Abstract Conjugate unstable manifolds of saturated hyperbolic sets of Smale diffeomorphisms are characterized in terms of the combinatorics of their geometrized Markov partitions. As a consequence, the relationship between the local and the global point of view is also made explicit.

https://doi.org/10.1016/s0166-8641(99)00017-6