@inbook{4d2a6a31dd124071a47967b584447162,
title = "On the Interplay of Noise and Delay in Coupled Oscillators",
abstract = "Coupling delays can play an important role in the dynamics of various networks, such as coupled semiconductor lasers, communication networks, genetic transcription circuits or the brain. A well established effect of a delay is to induce multistability: In oscillatory systems a delay gives rise to coexistent periodic orbits with different frequencies and oscillation patterns. Adding noise to the dynamics, the network switches stochastically between these delay-induced orbits. For phase oscillators, we compute analytically the distribution of frequencies, the robustness to noise and their dependence on system parameters as the coupling strength and coupling delay.",
keywords = "Stochastic dynamic systems, time delay, coupled systems",
author = "Otti D'Huys and Thomas J{\"u}ngling and Wolfgang Kinzel",
year = "2016",
doi = "10.1007/978-3-319-28028-8_7",
language = "English",
isbn = "978-3-319-28028-8; 978-3-319-28027-1",
series = "Understanding Complex Systems Springer Complexity",
publisher = "Springer",
pages = "127--145",
editor = "Eckehard Sch{\"o}ll and Klapp, {Sabine H.} and Philipp H{\"o}vel",
booktitle = "Control of Self-Organising Nonlinear Systems",
address = "Germany",
}