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Axiom A
Known as:
Axiom A diffeomorphism
, Axiom A system
, Morse–Smale diffeomorphism
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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 system
Horseshoe map
Markov partition
Perturbation theory
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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
K. Gelfert
2014
Corpus ID: 119149533
We give extensions of Katok’s horseshoe constructions, comment on related results, and provide a self-contained proof. We…
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Highly Cited
2012
Highly Cited
2012
Non-Linear Massive Gravity with Additional Primary Constraint and Absence of Ghosts
J. Klusoň
2012
Corpus ID: 118455915
We complete the Hamiltonian analysis of a specific model of nonlinear massive gravity that was started in 2012 [J. Kluson, J…
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Highly Cited
2008
Highly Cited
2008
On Ricci solitons of cohomogeneity one
A. Dancer
,
Mckenzie Y. Wang
2008
Corpus ID: 15893434
We analyse some properties of the cohomogeneity one Ricci soliton equations, and use Ansätze of cohomogeneity one to produce new…
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Highly Cited
2006
Highly Cited
2006
Composition of Semantic Web services using Linear Logic theorem proving
Jinghai Rao
,
Peep Küngas
,
M. Matskin
Information Systems
2006
Corpus ID: 6137727
Highly Cited
1996
Highly Cited
1996
Chaotic principle: an experimental test
F. Bonetto
,
G. Gallavotti
,
P. Garrido
1996
Corpus ID: 8146978
Highly Cited
1993
Highly Cited
1993
Differential Geometry and Statistics
M. Murray
,
J. Rice
1993
Corpus ID: 121757409
The Geometry of Exponential Families. Calculus on Manifolds. Statistical Manifolds. Connections. Curvature. Information Metrices…
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Highly Cited
1993
Highly Cited
1993
Distribution of periodic points of polynomial diffeomorphisms of C2
E. Bedford
,
M. Lyubich
,
J. Smillie
1993
Corpus ID: 14653811
This paper deals with the dynamics of a simple family of holomorphic diffeomorphisms of $\C^2$: the polynomial automorphisms…
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Highly Cited
1992
Highly Cited
1992
Decay of correlations for certain quadratic maps
L. Young
1992
Corpus ID: 121311226
We prove exponential decay of correlations for (f, μ), wheref belongs in a positive measure set of quadratic maps of the interval…
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Review
1989
Review
1989
The thermodynamic formalism for expanding maps
D. Ruelle
1989
Corpus ID: 54664035
Letf:X↦X be an expanding map of a compact space (small distances are increased by a factor >1). A generating functionζ(z) is…
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Highly Cited
1969
Highly Cited
1969
Anosov diffeomorphisms on tori
J. Franks
1969
Corpus ID: 17141416
In [7] S. Smale poses the problem of classifying all Anosov diffeomorphisms of compact manifolds up to topological conjugacy. The…
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