Transients in the Synchronization of Asymmetrically Coupled Oscillator Arrays

Authors

Carlos E. Cantos, Portland State UniversityFollow
David K. Hammond, Oregon Institute of TechnologyFollow
J.J.P. Veerman, Portland State UniversityFollow

Published In

The European Physical Journal Special Topics

Document Type

Post-Print

Publication Date

9-2016

Subjects

Boundary value problems, Autonomous vehicles -- Mathematical models, Transients (Dynamics) -- Mathematical models, Linear oscillators

Abstract

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.

Description

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 https://doi.org/10.1140/epjst/e2016-02658-y

DOI

10.1140/epjst/e2016-02658-y

Persistent Identifier

http://archives.pdx.edu/ds/psu/19395

Citation Details

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.