UNSPECIFIED (1991) AN EXTENSION OF ZEEMAN NOTION OF STRUCTURAL STABILITY TO NON-INVERTIBLE MAPS. PHYSICA D, 52 (2-3). pp. 246-253. ISSN 0167-2789

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Abstract

Zeeman has proposed a new notion of structural stability for flows and diffeomorphisms, based on the invariant density functions for associated operators, which correspond to the probability distributions that one would observe in the presence of noise. He gave some examples of stable flows, but only linear examples of stable diffeomorphisms. This paper provides a class of stable non-linear diffeomorphisms of the circle, generalises his ideas to non-invertible maps, and shows the results of numerical computation of the invariant densities for some maps of the interval.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Journal or Publication Title:	PHYSICA D
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0167-2789
Date:	September 1991
Volume:	52
Number:	2-3
Number of Pages:	8
Page Range:	pp. 246-253
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/22436

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