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20172026
most citedPhase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems

94 citations · 123 across the 5 of their papers we have counts for

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5 papers · 1 filter

nlin.AO2020★ 21 cited

Nonlinear phase-amplitude reduction of delay-induced oscillations

Kiyoshi Kotani, Yutaro Ogawa, Sho Shirasaka +3

Spontaneous oscillations induced by time delays are observed in many real-world systems. Phase reduction theory for limit-cycle oscillators described by delay-differential equation…

nlin.AO2019

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators

Nobuhiro Watanabe, Yuzuru Kato, Sho Shirasaka +1

Optimization of mutual synchronization between a pair of limit-cycle oscillators with weak symmetric coupling is considered in the framework of the phase reduction theory. By gener…

nlin.AO2017

Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems

Yoji Kawamura, Sho Shirasaka, Tatsuo Yanagita +1

Optimization of the stability of synchronized states between a pair of symmetrically coupled reaction-diffusion systems exhibiting rhythmic spatiotemporal patterns is studied in th…

nlin.AO2017

Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling

Sho Shirasaka, Nobuhiro Watanabe, Yoji Kawamura +1

We consider optimization of linear stability of synchronized states between a pair of weakly coupled limit-cycle oscillators with cross coupling, where different components of stat…

nlin.AO2017★ 94 cited

Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems

Sho Shirasaka, Wataru Kurebayashi, Hiroya Nakao

Phase reduction framework for limit-cycling systems based on isochrons has been used as a powerful tool for analyzing rhythmic phenomena. Recently, the notion of isostables, which…