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Nonlinear Phenomena in Evolutionary Partial Differential Equations
 
15:30 - 17:30, March 24, 2020 (Tuesday)
R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
The Unconditional Frequency Synchronization of Kuramoto Oscillators with Time-delayed Interactions
Kuan-Jhan Lin (National Taiwan University)

Abstract:

The Kuramoto model has been studied to investigate the synchronization behavior of coupled oscillators. The classical Kuramoto model assumes that the interactions between oscillators are simultaneous. However, in the real-world systems, the interactions such as chemical reactions, signal transmissions, etc usually take a small time to react. Hence the consideration of time-delay effect is natural and inevitable in the large coupled systems. In this talk, we shall consider the Kuramoto model with time-delayed interaction. We will present a theoretical result for unconditional frequency synchronization when the number of oscillators is 3.


 

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