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nlin.AO2026
From phase synchronization to waveform proportionality in a population of Rössler oscillators driven by an external pacemaker
Yuzuru Mitsui, Shigefumi Hata, Hiroshi Kori
The dynamical order of self-sustained oscillators is often characterized by phase synchronization, extensively studied within the framework of the Kuramoto model. It has recently b…
nlin.AO2025
Waveform proportionality and Taylor's law in coupled Lorenz systems
Yuzuru Mitsui, Hiroshi Kori
Taylor's law (TL), a power-law relationship between the mean and variance of a quantity, has been observed across diverse scientific disciplines. Despite its ubiquity, the underlyi…
nlin.AO2023
Waveform Proportionality and Taylor's Law Induced by Synchronization of Periodic and Chaotic Oscillators
Yuzuru Mitsui, Hiroshi Kori
Taylor's law (TL), the scaling relationship between the mean and variance, has been observed in various fields. However, the underlying reasons why TL is so widely observed, why th…