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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: pduarte@ptmat.fc.ul.pt)
M. J. TORRES
Affiliation:
CMAT Departamento de Matemática, Universidade do Minho, Campus de Gualtar, 4700-057 Braga, Portugal (e-mail: jtorres@math.uminho.pt)
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Abstract

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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.

Information

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