Multimode dynamics in a network with resource mediated coupling

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Standard

Multimode dynamics in a network with resource mediated coupling. / Postnov, D E; Sosnovtseva, Olga; Scherbakov, P; Mosekilde, Erik.

In: Chaos, Vol. 18, No. 1, 01.03.2008, p. 015114.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Postnov, DE, Sosnovtseva, O, Scherbakov, P & Mosekilde, E 2008, 'Multimode dynamics in a network with resource mediated coupling', Chaos, vol. 18, no. 1, pp. 015114. https://doi.org/10.1063/1.2805194

APA

Postnov, D. E., Sosnovtseva, O., Scherbakov, P., & Mosekilde, E. (2008). Multimode dynamics in a network with resource mediated coupling. Chaos, 18(1), 015114. https://doi.org/10.1063/1.2805194

Vancouver

Postnov DE, Sosnovtseva O, Scherbakov P, Mosekilde E. Multimode dynamics in a network with resource mediated coupling. Chaos. 2008 Mar 1;18(1):015114. https://doi.org/10.1063/1.2805194

Author

Postnov, D E ; Sosnovtseva, Olga ; Scherbakov, P ; Mosekilde, Erik. / Multimode dynamics in a network with resource mediated coupling. In: Chaos. 2008 ; Vol. 18, No. 1. pp. 015114.

Bibtex

@article{108d474386b84bb0ac313cefd6092634,
title = "Multimode dynamics in a network with resource mediated coupling",
abstract = "The purpose of this paper is to study the special forms of multimode dynamics that one can observe in systems with resource-mediated coupling, i.e., systems of self-sustained oscillators in which the coupling takes place via the distribution of primary resources that controls the oscillatory state of the individual unit. With this coupling, a spatially inhomogenous state with mixed high and low-amplitude oscillations in the individual units can arise. To examine generic phenomena associated with this type of interaction we consider a chain of resistively coupled electronic oscillators connected to a common power supply. The two-oscillator system displays antiphase synchronization, and it is interesting to note that two-mode oscillations continue to exist outside of the parameter range in which oscillations occur for the individual unit. At low coupling strengths, the multi-oscillator system shows high dimensional quasiperiodicity with little tendency for synchronization. At higher coupling strengths, one typically observes spatial clustering involving a few oscillating units. We describe three different scenarios according to which the cluster can slide along the chain as the bias voltage changes.",
keywords = "Algorithms, Biological Clocks, Computer Simulation, Feedback, Models, Biological, Nonlinear Dynamics, Signal Transduction",
author = "Postnov, {D E} and Olga Sosnovtseva and P Scherbakov and Erik Mosekilde",
year = "2008",
month = mar,
day = "1",
doi = "10.1063/1.2805194",
language = "English",
volume = "18",
pages = "015114",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics",
number = "1",

}

RIS

TY - JOUR

T1 - Multimode dynamics in a network with resource mediated coupling

AU - Postnov, D E

AU - Sosnovtseva, Olga

AU - Scherbakov, P

AU - Mosekilde, Erik

PY - 2008/3/1

Y1 - 2008/3/1

N2 - The purpose of this paper is to study the special forms of multimode dynamics that one can observe in systems with resource-mediated coupling, i.e., systems of self-sustained oscillators in which the coupling takes place via the distribution of primary resources that controls the oscillatory state of the individual unit. With this coupling, a spatially inhomogenous state with mixed high and low-amplitude oscillations in the individual units can arise. To examine generic phenomena associated with this type of interaction we consider a chain of resistively coupled electronic oscillators connected to a common power supply. The two-oscillator system displays antiphase synchronization, and it is interesting to note that two-mode oscillations continue to exist outside of the parameter range in which oscillations occur for the individual unit. At low coupling strengths, the multi-oscillator system shows high dimensional quasiperiodicity with little tendency for synchronization. At higher coupling strengths, one typically observes spatial clustering involving a few oscillating units. We describe three different scenarios according to which the cluster can slide along the chain as the bias voltage changes.

AB - The purpose of this paper is to study the special forms of multimode dynamics that one can observe in systems with resource-mediated coupling, i.e., systems of self-sustained oscillators in which the coupling takes place via the distribution of primary resources that controls the oscillatory state of the individual unit. With this coupling, a spatially inhomogenous state with mixed high and low-amplitude oscillations in the individual units can arise. To examine generic phenomena associated with this type of interaction we consider a chain of resistively coupled electronic oscillators connected to a common power supply. The two-oscillator system displays antiphase synchronization, and it is interesting to note that two-mode oscillations continue to exist outside of the parameter range in which oscillations occur for the individual unit. At low coupling strengths, the multi-oscillator system shows high dimensional quasiperiodicity with little tendency for synchronization. At higher coupling strengths, one typically observes spatial clustering involving a few oscillating units. We describe three different scenarios according to which the cluster can slide along the chain as the bias voltage changes.

KW - Algorithms

KW - Biological Clocks

KW - Computer Simulation

KW - Feedback

KW - Models, Biological

KW - Nonlinear Dynamics

KW - Signal Transduction

U2 - 10.1063/1.2805194

DO - 10.1063/1.2805194

M3 - Journal article

C2 - 18377095

VL - 18

SP - 015114

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 1

ER -

ID: 33812473