journal article·2021-01-01Open access

Stable plane waves in nonlocally coupled phase oscillators

Yoji Kawamura

AIP Advances· Volume 11· Issue 1

Abstract

We consider a system of nonlocally coupled phase oscillators and perform a linear stability analysis of the plane wave solutions of the system. Consequently, we demonstrate the stability of the solution associated with a particular wavenumber and also the robustness of the stability against the heterogeneity of natural frequencies. The mathematical model is valid in any spatial dimension, and the theoretical results are confirmed via direct numerical simulations.
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Research context

OpenAlex topics: Nonlinear Dynamics and Pattern Formation · Acoustic Wave Resonator Technologies · Nonlinear Photonic Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Center for Mathematical Science and Advanced Technology, Japan Agency for Marine-Earth Science and Technology , Yokohama 236-0001, Japan

Funding

Japan Society for the Promotion of Science

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