Cooperative Behaviors of Thermodynamic Kuramoto Model Under External Fields

摘要

Each oscillator, subject to external fields, interacts with all the other oscillators. Therefore, the original thermodynamic Kuramoto model (TK model) is used to study the influence of some external fields upon its cooperative behavior. Three kinds of external fields are applied to the system: (a) random noises, (b) periodic force, (c) random noises and periodic force, so as to discuss TK model's cooperative behavior under external fields. In some adequate frameworks formulated with initial data and system parameters, the model exhibits cooperative dynamics.