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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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Papers overview

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2014
2014
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
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
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
1996
Highly Cited
1993
Highly Cited
1993
The Geometry of Exponential Families. Calculus on Manifolds. Statistical Manifolds. Connections. Curvature. Information Metrices… 
Highly Cited
1993
Highly Cited
1993
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
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
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
In [7] S. Smale poses the problem of classifying all Anosov diffeomorphisms of compact manifolds up to topological conjugacy. The…