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X-WR-CALDESC:Events for Biomedical Mathematics Group
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DTSTART:20240101T000000
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DTSTART;TZID=Asia/Seoul:20250530T110000
DTEND;TZID=Asia/Seoul:20250530T120000
DTSTAMP:20260501T090207
CREATED:20250217T081212Z
LAST-MODIFIED:20250217T082031Z
UID:10780-1748602800-1748606400@www.ibs.re.kr
SUMMARY:Koopman operator approach to complex rhythmic systems - Hiroya Nakao
DESCRIPTION:Abstract \nSpontaneous rhythmic oscillations are widely observed in real-world systems. Synchronized rhythmic oscillations often provide important functions for biological or engineered systems. One of the useful theoretical methods for analyzing rhythmic oscillations is the phase reduction theory for weakly perturbed limit-cycle oscillators\, which systematically gives a low-dimensional description of the oscillatory dynamics using only the asymptotic phase of the oscillator. Recent advances in Koopman operator theory provide a new viewpoint on phase reduction\, yielding an operator-theoretic definition of the classical notion of the asymptotic phase and\, moreover\, of the amplitudes\, which characterize distances from the limit cycle. This led to the generalization of classical phase reduction to phase-amplitude reduction\, which can characterize amplitude deviations of the oscillator from the unperturbed limit cycle in addition to the phase along the cycle in a systematic manner. In the talk\, these theories are briefly reviewed and then applied to several examples of synchronizing rhythmic systems\, including biological oscillators\, networked dynamical systems\, and rhythmic spatiotemporal patterns.
URL:https://www.ibs.re.kr/bimag/event/koopman-operator-approach-to-complex-rhythmic-systems-hiroya-nakao/
LOCATION:ZOOM ID: 997 8258 4700 (Biomedical Mathematics Online Colloquium)\, (pw: 1234)
CATEGORIES:Biomedical Mathematics Online Colloquium
ATTACH;FMTTYPE=image/jpeg:https://www.ibs.re.kr/bimag/cms/wp-content/uploads/2025/02/nakao-hiroya.jpg
ORGANIZER;CN="Jae Kyoung Kim":MAILTO:jaekkim@kaist.ac.kr
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