453 citations · 3.4k across the 81 of their papers we have counts for
81 papers
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…
Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata
Keisuke Taga, Yuzuru Kato, Yoshihiro Yamazaki +2
We apply Dynamic Mode Decomposition (DMD) to Elementary Cellular Automata (ECA). Three types of DMD methods are considered and the reproducibility of the system dynamics and Koopma…