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Finite Precision Representation of the Conley Decomposition

Published

Author(s)

Fern Y. Hunt

Abstract

We present the theoretical basis for a novel way of studying and representing the long time behavior of finite dimensional maps. It is based on the sample paths of a Markov chain. Applications of the method to the approximation of attractors of maps and to finding the roots of a polynomial equation are discussed.
Citation
- 6182
Report Number
6182
Volume
13
Issue
No. 1

Keywords

Attractors, chain transitive sets, Conley decomposition

Citation

Hunt, F. (1998), Finite Precision Representation of the Conley Decomposition, - 6182, National Institute of Standards and Technology, Gaithersburg, MD (Accessed April 19, 2024)
Created December 1, 1998, Updated June 2, 2021