Skip to main content
Transients in the Synchronization of Asymmetrically Coupled Oscillator Arrays
The European Physical Journal Special Topics
  • Carlos E. Cantos, Portland State University
  • David K. Hammond, Oregon Institute of Technology
  • J. J. P. Veerman, Portland State University
Document Type
Publication Date
  • Oscillators -- Linear,
  • Dynamical Systems,
  • Coupled -- Oscillator Arrays
We consider the transient behavior of a large linear array of coupled linear damped harmonic oscillators following perturbation of a single element. Our work is motivated by modeling the behavior of flocks of autonomous vehicles. We first state a number of conjectures that allow us to derive an explicit characterization of the transients, within a certain parameter regime Ω. As corollaries we show that minimizing the transients requires considering non-symmetric coupling, and that within Ω the computed linear growth in N of the transients is independent of (reasonable) boundary conditions.

This is the authors' version of a manuscript which was published online September 30, 2016 in The European Physical Journal Special Topics. The final publication is available at Springer via

Persistent Identifier
Citation Information
Cantos, C. E., Hammond, D. K., & Veerman, J. J. P. (2016). Transients in the synchronization of asymmetrically coupled oscillator arrays. The European Physical Journal Special Topics, 225(6-7), 1199-1209.