Stochastic switching in delay-coupled oscillators

Otti d'Huys, Thomas Jüngling, Wolfgang Kinzel

Research output: Contribution to journalArticle

Abstract

A delay is known to induce multistability in periodic systems. Under influence of noise, coupled oscillators can switch between coexistent orbits with different frequencies and different oscillation patterns. For coupled phase oscillators we reduce the delay system to a nondelayed Langevin equation, which allows us to analytically compute the distribution of frequencies and their corresponding residence times. The number of stable periodic orbits scales with the roundtrip delay time and coupling strength, but the noisy system visits only a fraction of the orbits, which scales with the square root of the delay time and is independent of the coupling strength. In contrast, the residence time in the different orbits is mainly determined by the coupling strength and the number of oscillators, and only weakly dependent on the coupling delay. Finally we investigate the effect of a detuning between the oscillators. We demonstrate the generality of our results with delay-coupled FitzHugh-Nagumo oscillators.
Original languageEnglish
Article number032918
Number of pages9
JournalPhysical Review E
Volume90
Issue number3
DOIs
Publication statusPublished - 19 Sep 2014

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Coupled Oscillators
oscillators
Residence Time
Orbit
Delay Time
orbits
Multistability
time lag
FitzHugh-Nagumo
Delay Systems
Periodic Systems
Langevin Equation
Square root
Periodic Orbits
Switch
Oscillation
Dependent
oscillations
Demonstrate

Cite this

d'Huys, Otti ; Jüngling, Thomas ; Kinzel, Wolfgang. / Stochastic switching in delay-coupled oscillators. In: Physical Review E. 2014 ; Vol. 90, No. 3.
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Stochastic switching in delay-coupled oscillators. / d'Huys, Otti; Jüngling, Thomas; Kinzel, Wolfgang.

In: Physical Review E, Vol. 90, No. 3, 032918, 19.09.2014.

Research output: Contribution to journalArticle

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