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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… Expand
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Related topics

Related topics

7 relations
Dynamical systemHorseshoe mapMarkov partitionPerturbation theory
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Broader (1)

Ergodic theory

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2015
Highly Cited
2015
Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry
A bstractRecently it has been established that torsional Newton-Cartan (TNC) geometry is the appropriate geometrical framework to… Expand
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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… Expand
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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… Expand
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2000
2000
Broadband X-Ray spectra of the persistent black hole candidates LMC X-1 and LMC X-3
We report on observations of the two persistent black hole candidates LMC X-3 and LMC X-1 performed with BeppoSAX in 1997 October… Expand
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  • table 2
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Highly Cited
1999
Highly Cited
1999
Optimal orbits of hyperbolic systems
Given a dynamical system and a function f from the state space to the real numbers, an optimal orbit for f is an orbit over which… Expand
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Highly Cited
1993
Highly Cited
1993
Differential Geometry and Statistics
The Geometry of Exponential Families. Calculus on Manifolds. Statistical Manifolds. Connections. Curvature. Information Metrices… Expand
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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… Expand
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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… Expand
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Highly Cited
1986
Highly Cited
1986
Synchronisation of canonical measures for hyperbolic attractors
Under suitable conditions it is shown how to change the velocity of aC2 AxiomA attractor so that the Sinai-Ruelle-Bowen measure… Expand
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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… Expand
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