UNSPECIFIED (1992) LYAPUNOV MAPS, SIMPLICIAL COMPLEXES AND THE STONE FUNCTOR. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 12 (Part 1). pp. 153-183. ISSN 0143-3857

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Abstract

Let {A(alpha)}alpha is-an-element-of L(p)be an attractor network for a dynamical system f(t):M --> M, indexed by the lower sets of a partially ordered set P. Our main theorem asserts the existence of a Lyapunov map-psi:M --> K (P) which defines the attractor network. This result is used to prove the existence of connection matrices for discrete-time dynamical systems.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	ERGODIC THEORY AND DYNAMICAL SYSTEMS
Publisher:	CAMBRIDGE UNIV PRESS
ISSN:	0143-3857
Date:	March 1992
Volume:	12
Number:	Part 1
Number of Pages:	31
Page Range:	pp. 153-183
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/22069

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