The Library
AN EXTENSION OF ZEEMAN NOTION OF STRUCTURAL STABILITY TO NON-INVERTIBLE MAPS
Tools
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.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
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 | ||||
Official Date: | September 1991 | ||||
Dates: |
|
||||
Volume: | 52 | ||||
Number: | 2-3 | ||||
Number of Pages: | 8 | ||||
Page Range: | pp. 246-253 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |