94 citations · 230 across the 7 of their papers we have counts for
7 papers
Self-exciting negative binomial distribution process and critical properties of intensity distribution
Kotaro Sakuraba, Wataru Kurebayashi, Masato Hisakado +1
We study the continuous time limit of a self-exciting negative binomial process and discuss the critical properties of its intensity distribution. In this limit, the process transf…
Asymptotic phase and amplitude for classical and semiclassical stochastic oscillators via Koopman operator theory
Yuzuru Kato, Jinjie Zhu, Wataru Kurebayashi +1
The asymptotic phase is a fundamental quantity for the analysis of deterministic limit-cycle oscillators, and generalized definitions of the asymptotic phase for stochastic oscilla…
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…
Colored noise induces synchronization of limit cycle oscillators
W. Kurebayashi, K. Fujiwara, T. Ikeguchi
Driven by various kinds of noise, ensembles of limit cycle oscillators can synchronize. In this letter, we propose a general formulation of synchronization of the oscillator ensemb…
Phase Reduction Method for Strongly Perturbed Limit Cycle Oscillators
Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao
The phase reduction method for limit cycle oscillators subjected to weak perturbations has significantly contributed to theoretical investigations of rhythmic phenomena. We here pr…