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19972025
most citedTuring patterns in network-organized activator-inhibitor systems

453 citations · 3.4k across the 81 of their papers we have counts for

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Showing 2010Show all

5 papers · 1 filter

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…

nlin.AO2010★ 51 cited

Phase synchronization between collective rhythms of globally coupled oscillator groups: noiseless non-identical case

Yoji Kawamura, Hiroya Nakao, Kensuke Arai +2

Phase synchronization between collective oscillations exhibited by two weakly interacting groups of non-identical phase oscillators with internal and external global sinusoidal cou…

nlin.AO2010★ 32 cited

Phase synchronization between collective rhythms of globally coupled oscillator groups: noisy identical case

Yoji Kawamura, Hiroya Nakao, Kensuke Arai +2

We theoretically investigate collective phase synchronization between interacting groups of globally coupled noisy identical phase oscillators exhibiting macroscopic rhythms. Using…

nlin.CD2010★ 35 cited

Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise

Hiroya Nakao, Jun-nosuke Teramae, Denis S. Goldobin +1

An effective white-noise Langevin equation is derived that describes long-time phase dynamics of a limit-cycle oscillator subjected to weak stationary colored noise. Effective drif…

nlin.AO2010★ 453 cited

Turing patterns in network-organized activator-inhibitor systems

Hiroya Nakao, Alexander S. Mikhailov

Turing instability in activator-inhibitor systems provides a paradigm of nonequilibrium pattern formation; it has been extensively investigated for biological and chemical processe…