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Axiom A

Known as: Axiom A diffeomorphism, Axiom A system, Morse–Smale diffeomorphism 
In mathematics, Smale's axiom A defines a class of dynamical systems which have been extensively studied and whose dynamics is relatively well… 
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Related topics

Related topics

7 relations
Dynamical systemHorseshoe mapMarkov partitionPerturbation theory

Broader (1)

Ergodic theory

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
Horseshoes for diffeomorphisms preserving hyperbolic measures
We give extensions of Katok’s horseshoe constructions, comment on related results, and provide a self-contained proof. We… 
Highly Cited
2012
Highly Cited
2012
Non-Linear Massive Gravity with Additional Primary Constraint and Absence of Ghosts
We complete the Hamiltonian analysis of a specific model of nonlinear massive gravity that was started in 2012 [J. Kluson, J… 
Highly Cited
2008
Highly Cited
2008
On Ricci solitons of cohomogeneity one
We analyse some properties of the cohomogeneity one Ricci soliton equations, and use Ansätze of cohomogeneity one to produce new… 
Highly Cited
2006
Highly Cited
2006
Composition of Semantic Web services using Linear Logic theorem proving
Highly Cited
1996
Highly Cited
1996
Chaotic principle: an experimental test
Highly Cited
1993
Highly Cited
1993
Differential Geometry and Statistics
The Geometry of Exponential Families. Calculus on Manifolds. Statistical Manifolds. Connections. Curvature. Information Metrices… 
Highly Cited
1993
Highly Cited
1993
Distribution of periodic points of polynomial diffeomorphisms of C2
This paper deals with the dynamics of a simple family of holomorphic diffeomorphisms of $\C^2$: the polynomial automorphisms… 
Highly Cited
1992
Highly Cited
1992
Decay of correlations for certain quadratic maps
We prove exponential decay of correlations for (f, μ), wheref belongs in a positive measure set of quadratic maps of the interval… 
Review
1989
Review
1989
The thermodynamic formalism for expanding maps
Letf:X↦X be an expanding map of a compact space (small distances are increased by a factor >1). A generating functionζ(z) is… 
Highly Cited
1969
Highly Cited
1969
Anosov diffeomorphisms on tori
In [7] S. Smale poses the problem of classifying all Anosov diffeomorphisms of compact manifolds up to topological conjugacy. The… 
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