Collective motion occurs inevitably in a class of populations of globally coupled chaotic elements

Abstract

We discovered numerically a scaling law obeyed by the amplitude of collective motion in large populations of chaotic elements. Our analysis strongly suggests that such populations generically exhibit collective motion in the presence of interaction, however weak it may be. A phase diagram for the collective motion, which is characterized by peculiar structures similar to Arnold tongues, is obtained.

Locations

• Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View