most citedKoopman Analysis of the Singularly-Perturbed van der Pol Oscillator

2 citations · 3 across the 5 of their papers we have counts for

collaborators

5 papers

math.DS2026

Global Linearization of Parameterized Nonlinear Systems with Stable Equilibrium Point Using the Koopman Operator

Natsuki Katayama, Alexandre Mauroy, Yoshihiko Susuki

The Koopman operator framework enables global analysis of nonlinear systems through its inherent linearity. This study aims to clarify spectral properties of the Koopman operators…

math.DS2024

Koopman Operators for Global Analysis of Hybrid Limit-Cycling Systems: Construction and Spectral Properties

Natsuki Katayama, Yoshihiko Susuki

This paper reports a theory of Koopman operators for a class of hybrid dynamical systems with globally asymptotically stable periodic orbits, called hybrid limit-cycling systems. W…

eess.SY2024

A System of Bidirectional Power Routing Toward Multi-energy Management

Shiu Mochiyama, Ryo Takahashi, Yoshihiko Susuki +4

In this paper, we propose a system of bidirectional power routing for inter-house multi-energy management systems that utilize electricity and hydrogen as energy carriers. The key…

math.DS2024★ 1 cited

Participation Factors for Nonlinear Autonomous Dynamical Systems in the Koopman Operator Framework

Kenji Takamichi, Yoshihiko Susuki, Marcos Netto

We devise a novel formulation and propose the concept of modal participation factors to nonlinear dynamical systems. The original definition of modal participation factors (or simp…

math.DS2024★ 2 cited

Koopman Analysis of the Singularly-Perturbed van der Pol Oscillator

Natsuki Katayama, Yoshihiko Susuki

The Koopman operator framework holds promise for spectral analysis of nonlinear dynamical systems based on linear operators. Eigenvalues and eigenfunctions of the Koopman operator,…