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LYAPUNOV MAPS, SIMPLICIAL COMPLEXES AND THE STONE FUNCTOR
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | ERGODIC THEORY AND DYNAMICAL SYSTEMS | ||||
Publisher: | CAMBRIDGE UNIV PRESS | ||||
ISSN: | 0143-3857 | ||||
Official Date: | March 1992 | ||||
Dates: |
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Volume: | 12 | ||||
Number: | Part 1 | ||||
Number of Pages: | 31 | ||||
Page Range: | pp. 153-183 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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