Linearization of polynomial flows and spectra of derivations

Brian Coomes; Victor Zurkowski

doi:10.1007/BF01049488

Linearization of polynomial flows and spectra of derivations

Brian Coomes, Victor Zurkowski

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

9 Scopus citations

Abstract

We show that a polynomial flow is a solution of a linear ordinary differential equation. From this, we draw conclusions about the possible dynamics of polynomial flows. We also show how point spectra of derivations associated with polynomial vector fields can be used to identify p-f vector fields.

Original language	English (US)
Pages (from-to)	29-66
Number of pages	38
Journal	Journal of Dynamics and Differential Equations
Volume	3
Issue number	1
DOIs	https://doi.org/10.1007/BF01049488
State	Published - Jan 1 1991
Externally published	Yes

Keywords

AMS (MOS) subject classifications: Primary 34A05, Secondary 12H05, 13N05, 34A20, 34A30, 34C25, 34C35, 34005, 58F13, 58F15, 58F22, 58F25
Polynomial flows
derivations
linear ordinary differential equations

ASJC Scopus subject areas

Analysis

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10.1007/BF01049488

Cite this

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title = "Linearization of polynomial flows and spectra of derivations",

abstract = "We show that a polynomial flow is a solution of a linear ordinary differential equation. From this, we draw conclusions about the possible dynamics of polynomial flows. We also show how point spectra of derivations associated with polynomial vector fields can be used to identify p-f vector fields.",

keywords = "AMS (MOS) subject classifications: Primary 34A05, Secondary 12H05, 13N05, 34A20, 34A30, 34C25, 34C35, 34005, 58F13, 58F15, 58F22, 58F25, Polynomial flows, derivations, linear ordinary differential equations",

author = "Brian Coomes and Victor Zurkowski",

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AU - Coomes, Brian

AU - Zurkowski, Victor

PY - 1991/1/1

Y1 - 1991/1/1

N2 - We show that a polynomial flow is a solution of a linear ordinary differential equation. From this, we draw conclusions about the possible dynamics of polynomial flows. We also show how point spectra of derivations associated with polynomial vector fields can be used to identify p-f vector fields.

AB - We show that a polynomial flow is a solution of a linear ordinary differential equation. From this, we draw conclusions about the possible dynamics of polynomial flows. We also show how point spectra of derivations associated with polynomial vector fields can be used to identify p-f vector fields.

KW - AMS (MOS) subject classifications: Primary 34A05, Secondary 12H05, 13N05, 34A20, 34A30, 34C25, 34C35, 34005, 58F13, 58F15, 58F22, 58F25

KW - Polynomial flows

KW - derivations

KW - linear ordinary differential equations

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Linearization of polynomial flows and spectra of derivations

Abstract

Keywords

ASJC Scopus subject areas

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