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Updated: Jan 30, 2026

Application of a Coupling Agent to Improve the Dielectric Properties of Polymer-Based Nanocomposites
Published on: September 19, 2020
Various synchronous states due to coupling strength inhomogeneity and coupling functions in systems of coupled
Junhyeok Kim1, Joon-Young Moon2, Uncheol Lee3
1Nonlinear and Complex Systems Laboratory, Department of Physics, Pohang University of Science and Technology, Pohang 37673, Republic of Korea.
Abstract:
We study the effects of coupling strength inhomogeneity and coupling functions on locking behaviors of coupled identical oscillators, some of which are relatively weakly coupled to others while some are relatively strongly coupled. Through the stability analysis and numerical simulations, we show that several categories of fully locked or partially locked states can emerge and obtain the conditions for these categories. In this system with coupling strength inhomogeneity, locked and drifting subpopulations are determined by the coupling strength distribution and the shape of the coupling functions. Even the strongly coupled oscillators can drift while weakly coupled oscillators can be locked. The simulation results with Gaussian and power-law distributions for coupling strengths are compared and discussed.
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