Transients in the Synchronization of Asymmetrically Coupled Oscillator ArraysThe European Physical Journal Special Topics
- Oscillators -- Linear,
- Dynamical Systems,
- Coupled -- Oscillator Arrays
AbstractWe 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.
Citation InformationCantos, 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.