Synchronization Dynamics in the Presence of Coupling Delays and Phase Shifts Articles uri icon

authors

  • JORG, DAVID J.
  • MORELLI, LUIS G.
  • ARES GARCIA, SAUL
  • JULICHER, FRANK

publication date

  • April 2014

start page

  • 1

end page

  • 5

issue

  • 17(174101)

volume

  • 112

International Standard Serial Number (ISSN)

  • 0031-9007

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

abstract

  • In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be regulated by substituting time delays by phase shifts at a constant collective frequency. For spatially extended systems with time delays, we show that the fastest synchronization can occur for intermediate wavelengths, giving rise to novel synchronization scenarios.

subjects

  • Mathematics

keywords

  • lambert-w-function; time-delay; vertebrate segmentation; mutual entrainment; kuramoto model; oscillators; clock; systems.