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…

Papers overview

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2018

We give a geometric proof, offering a new and quite different perspective on an earlier result of Ledrappier and Young on random…

2017

We present new methods to construct a Ruelle-Pollicott spectrum for the geodesic flow on manifolds with strictly negative…

2017

We consider a parametrised perturbation of a diffeomorphism on a closed smooth Riemannian manifold with , modeled by…

2017

Enthusiasm is mounting over the possibility for genetically modified (GM) crops to help African farmers improve their yields and…

2006

We prove that a pseudoholomorphic diffeomorphism between two almost complex man-ifolds with boundaries satisfying some…

2005

We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on…

2000

A nilmanifold admits an Anosov diffeomorphism if and only if its fundamental group (which is finitely generated, torsion-free and…

1998

Let Fq[X] denote a polynomial ring over a finite field Fq with q elements. Let n be the set of monic polynomials over Fq of…

1987

This paper contributes to a study of an amazingly complicated dynamics which can arise r ight af ter crossing a boundary of a…

1983

Examples are presented which show how to use the Morse lemma in specific infinite dimensional examples and what can go wrong if…