Geometric transient solutions of autonomous scalar maps

Shandelle M. Henson; J. M. Cushing

doi:10.1080/10236190211943

Geometric transient solutions of autonomous scalar maps

Shandelle M. Henson, J. M. Cushing

Mathematics

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

Abstract

Smooth autonomous scalar maps with locally asymptotically stable equilibria have families of asymptotically constant solutions which decay geometrically to the equilibria. Locally, all transients converging to the equilibria have this form.

Original language	English (US)
Pages (from-to)	61-73
Number of pages	13
Journal	Journal of Difference Equations and Applications
Volume	8
Issue number	1
DOIs	https://doi.org/10.1080/10236190211943
State	Published - Jan 2002

Keywords

Bifurcation
Difference equations
Equilibria
Geometric convergence
Stability

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1080/10236190211943

Cite this

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abstract = "Smooth autonomous scalar maps with locally asymptotically stable equilibria have families of asymptotically constant solutions which decay geometrically to the equilibria. Locally, all transients converging to the equilibria have this form.",

keywords = "Bifurcation, Difference equations, Equilibria, Geometric convergence, Stability",

author = "Henson, {Shandelle M.} and Cushing, {J. M.}",

year = "2002",

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KW - Difference equations

KW - Equilibria

KW - Geometric convergence

KW - Stability

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Geometric transient solutions of autonomous scalar maps

Abstract

Keywords

ASJC Scopus subject areas

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