Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-27T04:54:04.439Z Has data issue: false hasContentIssue false
  • English
  • Français

Combinatorial stability of non-deterministic systems

Published online by Cambridge University Press:  13 December 2005

P. DUARTE  and
M. J. TORRES
P. DUARTE
Affiliation:
CMAF, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, Edificio CS, 1749-016 Lisboa, Portugal (e-mail: [email protected])
M. J. TORRES
Affiliation:
CMAT Departamento de Matemática, Universidade do Minho, Campus de Gualtar, 4700-057 Braga, Portugal (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We introduce and study, from a combinatorial-topological viewpoint, some semigroups of continuous non-deterministic dynamical systems. Combinatorial stability, i.e. the persistence of the combinatorics of the attractors, is characterized and its genericity established. Some implications on topological (deterministic) dynamics are drawn.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 1 , February 2006 , pp. 93 - 128
Copyright
2005 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)