On the Interplay of Noise and Delay in Coupled Oscillators

Otti D'Huys, Thomas Jüngling, Wolfgang Kinzel

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

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.
Original languageEnglish
Title of host publicationControl of Self-Organising Nonlinear Systems
EditorsEckehard Schöll, Sabine H. Klapp, Philipp Hövel
PublisherSpringer
Pages127-145
ISBN (Print)978-3-319-28028-8; 978-3-319-28027-1
DOIs
Publication statusPublished - 2016

Publication series

NameUnderstanding Complex Systems Springer Complexity
PublisherSpringer

Keywords

  • Stochastic dynamic systems
  • time delay
  • coupled systems

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  • Cite this

    D'Huys, O., Jüngling, T., & Kinzel, W. (2016). On the Interplay of Noise and Delay in Coupled Oscillators. In E. Schöll, S. H. Klapp, & P. Hövel (Eds.), Control of Self-Organising Nonlinear Systems (pp. 127-145). (Understanding Complex Systems Springer Complexity). Springer. https://doi.org/10.1007/978-3-319-28028-8_7