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20102026
most citedPattern formation in multiplex networks

168 citations · 279 across the 11 of their papers we have counts for

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6 papers · 1 filter

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★ 8 cited

Theory of phase reduction from hypergraphs to simplicial complexes: a general route to higher-order Kuramoto models

Iván León, Riccardo Muolo, Shigefumi Hata +1

Phase reduction is a powerful technique in the study of nonlinear oscillatory systems. Under certain assumptions, it allows us to describe each multidimensional oscillator by a sin…

nlin.AO2023★ 32 cited

Higher-order interactions induce anomalous transitions to synchrony

Iván León, Riccardo Muolo, Shigefumi Hata +1

We analyze the simplest model of identical coupled phase oscillators subject to two-body and three-body interactions with permutation symmetry. This model is derived from an ensemb…

nlin.AO2014★ 168 cited

Pattern formation in multiplex networks

Nikos E. Kouvaris, Shigefumi Hata, Albert Díaz-Guilera

The advances in understanding complex networks have generated increasing interest in dynamical processes occurring on them. Pattern formation in activator-inhibitor systems has bee…

nlin.AO2011★ 28 cited

Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise

Shigefumi Hata, Kensuke Arai, Roberto F. Galán +1

We consider optimization of phase response curves for stochastic synchronization of non-interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functio…

nlin.AO2010★ 15 cited

Synchronization of uncoupled oscillators by common gamma impulses: from phase locking to noise-induced synchronization

Shigefumi Hata, Takeaki Shimokawa, Kensuke Arai +1

Nonlinear oscillators can mutually synchronize when they are driven by common external impulses. Two important scenarios are (i) synchronization resulting from phase locking of eac…