Published In

The European Physical Journal Special Topics

Document Type

Post-Print

Publication Date

9-2016

Subjects

Oscillators -- Linear, Dynamical Systems, Coupled -- Oscillator Arrays

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

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