Oscillator clustering in a resource distribution chain

Dmitry E Postnov; Olga Sosnovtseva; Erik Mosekilde

doi:10.1063/1.1852151

Oscillator clustering in a resource distribution chain

Dmitry E Postnov, Olga Sosnovtseva, Erik Mosekilde

Nyre- og Karforskning

13 Citationer (Scopus)

Abstract

The paper investigates the special clustering phenomena that one can observe in systems of nonlinear oscillators that are coupled via a shared flow of primary resources (or a common power supply). This type of coupling, which appears to be quite frequent in nature, implies that one can no longer separate the inherent dynamics of the individual oscillator from the properties of the coupling network. Illustrated by examples from microbiological population dynamics, renal physiology, and electronic oscillator theory, we show how competition for primary resources in a resource distribution chain leads to a number of new generic phenomena, including partial synchronization, sliding of the synchronization region with the resource supply, and coupling-induced inhomogeneity.

Originalsprog	Engelsk
Tidsskrift	Chaos
Vol/bind	15
Udgave nummer	1
Sider (fra-til)	13704
ISSN	1054-1500
DOI	https://doi.org/10.1063/1.1852151
Status	Udgivet - 1 mar. 2005

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10.1063/1.1852151

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abstract = "The paper investigates the special clustering phenomena that one can observe in systems of nonlinear oscillators that are coupled via a shared flow of primary resources (or a common power supply). This type of coupling, which appears to be quite frequent in nature, implies that one can no longer separate the inherent dynamics of the individual oscillator from the properties of the coupling network. Illustrated by examples from microbiological population dynamics, renal physiology, and electronic oscillator theory, we show how competition for primary resources in a resource distribution chain leads to a number of new generic phenomena, including partial synchronization, sliding of the synchronization region with the resource supply, and coupling-induced inhomogeneity.",

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AU - Sosnovtseva, Olga

AU - Mosekilde, Erik

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N2 - The paper investigates the special clustering phenomena that one can observe in systems of nonlinear oscillators that are coupled via a shared flow of primary resources (or a common power supply). This type of coupling, which appears to be quite frequent in nature, implies that one can no longer separate the inherent dynamics of the individual oscillator from the properties of the coupling network. Illustrated by examples from microbiological population dynamics, renal physiology, and electronic oscillator theory, we show how competition for primary resources in a resource distribution chain leads to a number of new generic phenomena, including partial synchronization, sliding of the synchronization region with the resource supply, and coupling-induced inhomogeneity.

AB - The paper investigates the special clustering phenomena that one can observe in systems of nonlinear oscillators that are coupled via a shared flow of primary resources (or a common power supply). This type of coupling, which appears to be quite frequent in nature, implies that one can no longer separate the inherent dynamics of the individual oscillator from the properties of the coupling network. Illustrated by examples from microbiological population dynamics, renal physiology, and electronic oscillator theory, we show how competition for primary resources in a resource distribution chain leads to a number of new generic phenomena, including partial synchronization, sliding of the synchronization region with the resource supply, and coupling-induced inhomogeneity.

KW - Arterioles

KW - Cluster Analysis

KW - Electronics

KW - Humans

KW - Kidney

KW - Models, Anatomic

KW - Models, Statistical

KW - Models, Theoretical

KW - Nephrons

KW - Nonlinear Dynamics

KW - Oscillometry

KW - Physics

KW - Time Factors

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DO - 10.1063/1.1852151

M3 - Journal article

C2 - 15836272

SN - 1054-1500

VL - 15

SP - 13704

JO - Chaos

JF - Chaos

IS - 1

ER -

Oscillator clustering in a resource distribution chain

Abstract

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