Forschungsgruppe "Laserdynamik"

Seminar Laserdynamik

Donnerstag, 04.09.2025, 15:00 Uhr (WIAS-ESH)

Prof. Hiroya Nakao, Institute of Science , Japan:
Koopman operator approach to phase-amplitude reduction of nonlinear oscillators
mehr ... Veranstaltungsort
Weierstraß-Institut, Mohrenstr. 39, 10117 Berlin, Erdgeschoss, Erhard-Schmidt-Hörsaal

Abstrakt
Synchronization of self-sustained rhythms play important functional roles in real-world systems. Rhythmic systems are often modeled as nonlinear dynamical systems with stable limit-cycle orbits. In analyzing the dynamics of such limit-cycle oscillators, phase reduction theory, which approximately describes the oscillator using only the asymptotic phase defined along the limit cycle, has played a major role. Recently, Koopman operator theory has provided a new perspective on phase reduction, clarifying that the asymptotic phase and amplitudes are Koopman eigenfunctions of the oscillator. This has led to the generalization of conventional phase reduction into phase-amplitude reduction, enabling us to describe not only the phase but also amplitude deviations of the oscillator. In this talk, I will present a brief introduction to phase-amplitude reduction from the Koopman operator viewpoint and then several applications to synchronization control, including data-driven approaches.

Weitere Informationen
Seminar Laserdynamik

Veranstalter
WIAS Berlin