Journal
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
Volume 20, Issue 12, Pages 3903-3914Publisher
INST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENGINEERS
DOI: 10.1007/s12555-021-0602-2
Keywords
Additive white noise; asymptotic synchronicity; multiplicative white noise; periodic force; TK model
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Funding
- Natural Science Foundation of Jiangsu Province [BK20181342]
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The original thermodynamic Kuramoto model is used to study the influence of external fields on its cooperative behavior. Three types of external fields are applied to the system to discuss the behavior of the model.
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.
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