Slow observables of singularly perturbed differential equations

Zvi Artstein; Ioannis G. Kevrekidis; Marshall Slemrod; Edriss S. Titi

doi:10.1088/0951-7715/20/11/001

Slow observables of singularly perturbed differential equations

Zvi Artstein, Ioannis G. Kevrekidis, Marshall Slemrod, Edriss S. Titi

Chemical & Biological Engineering

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

33 Scopus citations

Abstract

Singularly perturbed systems which may not possess a natural coordinate split into slow and fast dynamics are examined. Their limit behaviour is depicted as an invariant measure of the fast component drifted by the slow part of the system. Slow observables capture then limit characteristics of the system, and may determine the evolution of the limit invariant measures.

Original language	English (US)
Pages (from-to)	2463-2481
Number of pages	19
Journal	Nonlinearity
Volume	20
Issue number	11
DOIs	https://doi.org/10.1088/0951-7715/20/11/001
State	Published - Nov 1 2007

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/20/11/001

Cite this

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abstract = "Singularly perturbed systems which may not possess a natural coordinate split into slow and fast dynamics are examined. Their limit behaviour is depicted as an invariant measure of the fast component drifted by the slow part of the system. Slow observables capture then limit characteristics of the system, and may determine the evolution of the limit invariant measures.",

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AU - Slemrod, Marshall

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AB - Singularly perturbed systems which may not possess a natural coordinate split into slow and fast dynamics are examined. Their limit behaviour is depicted as an invariant measure of the fast component drifted by the slow part of the system. Slow observables capture then limit characteristics of the system, and may determine the evolution of the limit invariant measures.

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Slow observables of singularly perturbed differential equations

Abstract

All Science Journal Classification (ASJC) codes

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