94 citations · 230 across the 7 of their papers we have counts for
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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…
Phase reduction theory for hybrid nonlinear oscillators
Sho Shirasaka, Wataru Kurebayashi, Hiroya Nakao
Hybrid dynamical systems characterized by discrete switching of smooth dynamics have been used to model various rhythmic phenomena. However, the phase reduction theory, a fundament…
A criterion for timescale decomposition of external inputs for generalized phase reduction of limit-cycle oscillators
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao
The phase reduction method is a dimension reduction method for weakly driven limit-cycle oscillators, which has played an important role in the theoretical analysis of synchro- niz…