4 papers
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…
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…
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…