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 language | English |
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Article number | 032918 |
Journal | Physical Review E |
Volume | 90 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Sept 2014 |
Externally published | Yes |
Keywords
- Synchronization
- coupled oscillators
- Networks and genealogical trees
- Delay and functional equations