Zobrazeno 1 - 10
of 314
pro vyhledávání: '"Kato, Yuzuru"'
Autor:
Kato, Yuzuru, Nakao, Hiroya
We introduce a quantum spin van der Pol (vdP) oscillator as a prototypical model of quantum spin-based limit-cycle oscillators, which coincides with the quantum optical vdP oscillator in the high-spin limit. The system is described as a noisy limit-c
Externí odkaz:
http://arxiv.org/abs/2409.08791
Autor:
Kato, Yuzuru
We have recently proposed a fully quantum-mechanical definition of the asymptotic phase for quantum nonlinear oscillators, which is also applicable in the strong quantum regime [Kato and Nakao 2022 Chaos 32 063133]. In this study, we propose a defini
Externí odkaz:
http://arxiv.org/abs/2403.19297
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 Koopman eigenvalues from observed time series are investigated. While standa
Externí odkaz:
http://arxiv.org/abs/2312.01690
Autor:
Kato, Yuzuru, Nakao, Hiroya
Publikováno v:
Chaos 32, 063133 (2022)
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 for the analysis of classical limit-cycle oscillators, but it has not
Externí odkaz:
http://arxiv.org/abs/2302.05584
Publikováno v:
Phys. Rev. Research 4, 022041 (2022)
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 oscillations in excitable systems and further perform phase reduction
Externí odkaz:
http://arxiv.org/abs/2204.01912
Autor:
Kato, Yuzuru, Nakao, Hiroya
Publikováno v:
Sci Rep 12, 15573 (2022)
Turing instability is a fundamental mechanism of nonequilibrium self-organization. However, despite the universality of its essential mechanism, Turing instability has thus far been investigated mostly in classical systems. In this study, we show tha
Externí odkaz:
http://arxiv.org/abs/2109.01589
The asymptotic phase is a fundamental quantity for the analysis of deterministic limit-cycle oscillators, and generalized definitions of the asymptotic phase for stochastic oscillators have also been proposed. In this article, we show that the asympt
Externí odkaz:
http://arxiv.org/abs/2106.13633
Publikováno v:
Chaos 31, 103121 (2021)
We perform a Koopman spectral analysis of elementary cellular automata (ECA). By lifting the system dynamics using a one-hot representation of the system state, we derive a matrix representation of the Koopman operator as a transpose of the adjacency
Externí odkaz:
http://arxiv.org/abs/2106.01118
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 input waveforms that keep the system state close to the original limit
Externí odkaz:
http://arxiv.org/abs/2104.09944
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 programming. We derive averaged phase dynamics from the mathematical model of a
Externí odkaz:
http://arxiv.org/abs/2103.02880