Random perturbations of canards

Richard B. Sowers

doi:10.1007/s10959-008-0150-1

Random perturbations of canards

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the effect of random perturbations on canards. We find the appropriate size of the random perturbations to produce a random selection of a regular duck versus a headless duck. The appropriate limit theorem, in the appropriate topology, is proved.

Original language	English (US)
Pages (from-to)	824-889
Number of pages	66
Journal	Journal of Theoretical Probability
Volume	21
Issue number	4
DOIs	https://doi.org/10.1007/s10959-008-0150-1
State	Published - Dec 2008

Keywords

Fenichel manifolds

ASJC Scopus subject areas

Statistics and Probability
Mathematics(all)
Statistics, Probability and Uncertainty

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10.1007/s10959-008-0150-1

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title = "Random perturbations of canards",

abstract = "We consider the effect of random perturbations on canards. We find the appropriate size of the random perturbations to produce a random selection of a regular duck versus a headless duck. The appropriate limit theorem, in the appropriate topology, is proved.",

keywords = "Fenichel manifolds",

author = "Sowers, {Richard B.}",

note = "Funding Information: This material is based upon work supported by the National Science Foundation under Grant Nos. 0305925 and 0604249. The author would also like to thank Professor Jeff Moehlis of the Department of Mechanical and Environmental Engineering at UC Santa Barbara for a number of useful discussions about canards.",

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Random perturbations of canards

Abstract

Keywords

ASJC Scopus subject areas

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