453 citations · 3.4k across the 81 of their papers we have counts for
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Definition and data-driven reconstruction of asymptotic phase and amplitudes of stochastic oscillators via Koopman operator theory
Shohei Takata, Yuzuru Kato, Hiroya Nakao
Asymptotic phase and amplitudes are fundamental concepts in the analysis of limit-cycle oscillators. In this paper, we briefly review the definition of these quantities, particular…
Inference of noise intensity and phase response from noisy synchronous oscillators
Hisa-Aki Tanaka, Somei Suga, Akira Keida +3
Numerous biological and microscale systems exhibit synchronization in noisy environments. The theory of such noisy oscillators and their synchronization has been developed and expe…
Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization
Yuzuru Kato, Hiroya Nakao
We introduce a quantum spin van der Pol (vdP) oscillator as a prototypical model of quantum spinbased limit-cycle oscillators, which coincides with the quantum optical vdP oscillat…
A Central Pattern Generator Network for Simple Control of Gait Transitions in Hexapod Robots based on Phase Reduction
Norihisa Namura, Hiroya Nakao
We present a model of the central pattern generator (CPG) network that can control gait transitions in hexapod robots in a simple manner based on phase reduction. The CPG network c…
Optimal coupling functions for fast and global synchronization of weakly coupled limit-cycle oscillators
Norihisa Namura, Hiroya Nakao
We propose a method for optimizing mutual coupling functions to achieve fast and global synchronization between a pair of weakly coupled limit-cycle oscillators. Our method is base…
Phase-Amplitude Reduction and Optimal Phase Locking of Collectively Oscillating Networks
Petar Mircheski, Jinjie Zhu, Hiroya Nakao
We present a phase-amplitude reduction framework for analyzing collective oscillations in networked dynamical systems. The framework, which builds on the phase reduction method, ta…
Higher-order interactions induce anomalous transitions to synchrony
Iván León, Riccardo Muolo, Shigefumi Hata +1
We analyze the simplest model of identical coupled phase oscillators subject to two-body and three-body interactions with permutation symmetry. This model is derived from an ensemb…
Analytical Phase Reduction for Weakly Nonlinear Oscillators
Iván León, Hiroya Nakao
Phase reduction is a dimensionality reduction scheme to describe the dynamics of nonlinear oscillators with a single phase variable. While it is crucial in synchronization analysis…
A definition of the asymptotic phase for quantum nonlinear oscillators from the Koopman operator viewpoint
Yuzuru Kato, Hiroya Nakao
We propose a definition of the asymptotic phase for quantum nonlinear oscillators from the viewpoint of the Koopman operator theory. The asymptotic phase is a fundamental quantity…
Operator-theoretic Analysis of Mutual Interactions in Synchronized Dynamics
Yuka Hashimoto, Masahiro Ikeda, Hiroya Nakao +1
Analyzing synchronized nonlinear oscillators is one of the most important and attractive topics in nonlinear science. By understanding the interactions between the oscillators, we…
Noise-tuned bursting in a Hedgehog burster
Jinjie Zhu, Hiroya Nakao
Noise can shape the firing behaviors of neurons. Here, we show that noise acting on the fast variable of the Hedgehog burster can tune the spike counts of bursts via the self-induc…
Phase dynamics of noise-induced coherent oscillations in excitable systems
Jinjie Zhu, Yuzuru Kato, Hiroya Nakao
Noise can induce coherent oscillations in excitable systems without periodic orbits. Here, we establish a method to derive a hybrid system approximating the noise-induced coherent…
Estimating asymptotic phase and amplitude functions of limit-cycle oscillators from time series data
Norihisa Namura, Shohei Takata, Katsunori Yamaguchi +2
We propose a method for estimating the asymptotic phase and amplitude functions of limit-cycle oscillators using observed time series data without prior knowledge of their dynamica…
Turing instability in quantum activator-inhibitor systems
Yuzuru Kato, Hiroya Nakao
Turing instability is a fundamental mechanism of nonequilibrium self-organization. However, despite the universality of its essential mechanism, Turing instability has thus far bee…
Sparse optimization of mutual synchronization in collectively oscillating networks
Hiroya Nakao, Katsunori Yamaguchi, Shingo Katayama +1
We consider a pair of collectively oscillating networks of dynamical elements and optimize their internetwork coupling for efficient mutual synchronization based on the phase reduc…
Phase and amplitude description of complex oscillatory patterns in reaction-diffusion systems
Hiroya Nakao
Spontaneous rhythmic oscillations are widely observed in various real-world systems. In particular, biological rhythms, which typically arise via synchronization of many self-oscil…
Fast optimal entrainment of limit-cycle oscillators by strong periodic inputs via phase-amplitude reduction and Floquet theory
Shohei Takata, Yuzuru Kato, Hiroya Nakao
Optimal entrainment of limit-cycle oscillators by strong periodic inputs is studied on the basis of the phase-amplitude reduction and Floquet theory. Two methods for deriving the i…
Stochastic periodic orbits in fast-slow systems with self-induced stochastic resonance
Jinjie Zhu, Hiroya Nakao
Noise is ubiquitous in various systems. In systems with multiple timescales, noise can induce various coherent behaviors. Self-induced stochastic resonance (SISR) is a typical nois…
Optimization of periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators
Yuzuru Kato, Anatoly Zlotnik, Jr-Shin Li +1
We propose a general method for optimizing periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators based on phase reduction and nonlinear programmi…
Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
Yuzuru Kato, Hiroya Nakao
We show that conditional photon detection induces instantaneous phase synchronization between two decoupled quantum limit-cycle oscillators. We consider two quantum van der Pol osc…
Enhancement of quantum synchronization via continuous measurement and feedback control
Yuzuru Kato, Hiroya Nakao
We study synchronization of a quantum van der Pol oscillator with a harmonic drive and demonstrate that quantum synchronization can be enhanced by performing continuous homodyne me…
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…
Quantum Coherence Resonance
Yuzuru Kato, Hiroya Nakao
It is shown that coherence resonance, a phenomenon in which regularity of noise-induced oscillations in nonlinear excitable systems is maximized at a certain optimal noise intensit…
Quantum asymptotic phase reveals signatures of quantum synchronization
Yuzuru Kato, Hiroya Nakao
Synchronization of quantum nonlinear oscillators has attracted much attention recently. To characterize the quantum oscillatory dynamics, we recently proposed a fully quantum-mecha…