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

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

2011

The South African chokka squid, Loligo reynaudii is found along the coast of South Africa, from Southern Namibia in the west to…

2007

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…

1997

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…