94 citations · 291 across the 11 of their papers we have counts for
11 papers
Inducing fast-slow separation enables robust learning of complex dynamics
Satoshi Oishi, Hiroshi Yamashita, Hideyuki Suzuki +1
Many real-world systems share a fast-slow structure: most degrees of freedom relax quickly, while a few slow modes govern the long-term evolution. Their dynamics often collapse ont…
Extended dynamic mode decomposition with dictionary learning using neural ordinary differential equations
Hiroaki Terao, Sho Shirasaka, Hideyuki Suzuki
Nonlinear phenomena can be analyzed via linear techniques using operator-theoretic approaches. Data-driven method called the extended dynamic mode decomposition (EDMD) and its vari…
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…
Theta-gamma cross-frequency coupling enables covariance between distant brain regions
Akihiko Akao, Sho Shirasaka, Yasuhiko Jimbo +2
Cross-frequency coupling (CFC) is thought to play an important role in communication across distant brain regions. However, neither the mechanism of its generation nor the influenc…
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…
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…
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…
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…
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…