CUED Publications database

Differential positivity characterizes one-dimensional normally hyperbolic attractors

Forni, F and Mauroy, A and Sepulchre, R Differential positivity characterizes one-dimensional normally hyperbolic attractors. (Unpublished)

Full text not available from this repository.

Abstract

The paper shows that normally hyperbolic one-dimensional compact attractors of smooth dynamical systems are characterized by differential positivity, that is, the pointwise infinitesimal contraction of a smooth cone field. The result is analog to the characterization of zero-dimensional hyperbolic attractors by differential stability, which is the pointwise infinitesimal contraction of a Riemannian metric.

Item Type: Article
Uncontrolled Keywords: cs.SY cs.SY math.DS
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 02 Aug 2017 20:14
Last Modified: 21 Sep 2017 01:37
DOI: