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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:20250521T160000
DTEND;TZID=Asia/Seoul:20250521T170000
DTSTAMP:20260501T071926
CREATED:20250217T080703Z
LAST-MODIFIED:20250217T080703Z
UID:10775-1747843200-1747846800@www.ibs.re.kr
SUMMARY:Simplified descriptions of stochastic oscillators - Benjamin Lindner
DESCRIPTION:Abstract \nMany natural systems exhibit oscillations that show sizeable fluctuations in frequency and amplitude. This variability can arise from a wide variety of physical mechanisms. Phase descriptions that work for deterministic oscillators have a limited applicability for stochastic oscillators. In my talk I review attempts to generalize the phase concept to stochastic oscillations\, specifically\, the mean-return-time phase and the asymptotic phase.\nFor stochastic systems described by Fokker-Planck and Kolmogorov-backward equations\, I introduce a mapping of the system’s variables to a complex pointer (instead of a real-valued phase) that is based on the eigenfunction of the Kolmogorov equation. Under the new (complex-valued) description\, the statistics of the oscillator’s spontaneous activity\, of its response to external perturbations\, and of the coordinated activity of (weakly) coupled oscillators\, is brought into a universal and greatly simplified form. The theory is tested for three theoretical models of noisy oscillators arising from fundamentally different mechanisms: a damped harmonic oscillator with dynamical noise\, a fluctuation-perturbed limit-cycle system\, and an excitable system in which oscillations require noise to occur.
URL:https://www.ibs.re.kr/bimag/event/simplified-descriptions-of-stochastic-oscillators-benjamin-lindner/
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/Benjamin-Lindner-e1739779616840.jpg
ORGANIZER;CN="Jae Kyoung Kim":MAILTO:jaekkim@kaist.ac.kr
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