108 citations · 171 across the 7 of their papers we have counts for
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nlin.AO2020★ 18 cited
Low-dimensional dynamics of phase oscillators driven by Cauchy noise
Takuma Tanaka
Phase oscillator systems with global sine-coupling are known to exhibit low-dimensional dynamics. In this paper, such characteristics are extended to phase oscillator systems drive…
nlin.AO2014★ 42 cited
Solvable model of the collective motion of heterogeneous particles interacting on a sphere
Takuma Tanaka
I propose a model of mutually interacting particles on an M-dimensional unit sphere. I derive the dynamics of the particles by extending the dynamics of the Kuramoto-Sakaguchi mode…
nlin.AO2011★ 108 cited
Multistable attractors in a network of phase oscillators with three-body interaction
Takuma Tanaka, Toshio Aoyagi
Three-body interactions have been found in physics, biology, and sociology. To investigate their effect on dynamical systems, as a first step, we study numerically and theoreticall…