Meagre functions and asymptotic behaviour of dynamical systems

W. Desch; H. Logemann; E. P. Ryan; E. D. Sontag

doi:10.1016/S0362-546X(99)00323-5

Meagre functions and asymptotic behaviour of dynamical systems

W. Desch, H. Logemann, E. P. Ryan, E. D. Sontag

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

20 Scopus citations

Abstract

Presents the asymptotic behavior of dynamical systems. The technical lemmas on meagre functions and the abstract semiflow were derived. These were derived under the assumption that the underlying space X was a metric space. Results remained true if X was a topological space or a sequential-convergence space or limit space.

Original language	English (US)
Pages (from-to)	1087-1109
Number of pages	23
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	44
Issue number	8
DOIs	https://doi.org/10.1016/S0362-546X(99)00323-5
State	Published - Jun 2001

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Asymptotic behaviour
Dynamical systems
Invariance principles
Stability

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10.1016/S0362-546X(99)00323-5

Cite this

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title = "Meagre functions and asymptotic behaviour of dynamical systems",

abstract = "Presents the asymptotic behavior of dynamical systems. The technical lemmas on meagre functions and the abstract semiflow were derived. These were derived under the assumption that the underlying space X was a metric space. Results remained true if X was a topological space or a sequential-convergence space or limit space.",

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author = "W. Desch and H. Logemann and Ryan, {E. P.} and Sontag, {E. D.}",

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AU - Ryan, E. P.

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AB - Presents the asymptotic behavior of dynamical systems. The technical lemmas on meagre functions and the abstract semiflow were derived. These were derived under the assumption that the underlying space X was a metric space. Results remained true if X was a topological space or a sequential-convergence space or limit space.

KW - Asymptotic behaviour

KW - Dynamical systems

KW - Invariance principles

KW - Stability

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Meagre functions and asymptotic behaviour of dynamical systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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