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Differential positivity characterizes one-dimensional normally hyperbolic attractors
- Publication Year :
- 2015
-
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.
- Subjects :
- Computer Science - Systems and Control
Mathematics - Dynamical Systems
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1511.06996
- Document Type :
- Working Paper