Stability in networks of delay-coupled delay oscillators

J Hoefener; G Sethia; T Gross

doi:10.1209/0295-5075/95/40002

Stability in networks of delay-coupled delay oscillators

J Hoefener
, G Sethia
, T Gross

Research output: Contribution to journal › Article (Academic Journal) › peer-review

13 Citations (Scopus)

Abstract

We extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When the local dynamical stability of the network is plotted as a function of the two delays a pattern of tongues is revealed. Exploiting a link between structure and dynamics, we show that in ensembles of large networks this pattern can be well approximated analytically.

Translated title of the contribution	Stability in networks of delay-coupled delay oscillators
Original language	English
Article number	40002
Number of pages	7
Journal	EPL
Volume	95
DOIs	https://doi.org/10.1209/0295-5075/95/40002
Publication status	Published - 2011

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Engineering Mathematics Research Group

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title = "Stability in networks of delay-coupled delay oscillators",

abstract = "We extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When the local dynamical stability of the network is plotted as a function of the two delays a pattern of tongues is revealed. Exploiting a link between structure and dynamics, we show that in ensembles of large networks this pattern can be well approximated analytically.",

author = "J Hoefener and G Sethia and T Gross",

year = "2011",

doi = "10.1209/0295-5075/95/40002",

language = "English",

volume = "95",

journal = "EPL",

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T1 - Stability in networks of delay-coupled delay oscillators

AU - Hoefener, J

AU - Sethia, G

AU - Gross, T

PY - 2011

Y1 - 2011

N2 - We extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When the local dynamical stability of the network is plotted as a function of the two delays a pattern of tongues is revealed. Exploiting a link between structure and dynamics, we show that in ensembles of large networks this pattern can be well approximated analytically.

AB - We extend the approach of generalized modeling to investigate the stability of large networks of delay-coupled delay oscillators. When the local dynamical stability of the network is plotted as a function of the two delays a pattern of tongues is revealed. Exploiting a link between structure and dynamics, we show that in ensembles of large networks this pattern can be well approximated analytically.

U2 - 10.1209/0295-5075/95/40002

DO - 10.1209/0295-5075/95/40002

M3 - Article (Academic Journal)

SN - 1286-4854

VL - 95

JO - EPL

JF - EPL

M1 - 40002

ER -

Stability in networks of delay-coupled delay oscillators

Abstract

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