{"id":10775,"date":"2025-02-17T17:07:03","date_gmt":"2025-02-17T08:07:03","guid":{"rendered":"https:\/\/www.ibs.re.kr\/bimag\/?post_type=tribe_events&p=10775"},"modified":"2025-02-17T17:07:03","modified_gmt":"2025-02-17T08:07:03","slug":"simplified-descriptions-of-stochastic-oscillators-benjamin-lindner","status":"publish","type":"tribe_events","link":"https:\/\/www.ibs.re.kr\/bimag\/event\/simplified-descriptions-of-stochastic-oscillators-benjamin-lindner\/","title":{"rendered":"Simplified descriptions of stochastic oscillators – Benjamin Lindner"},"content":{"rendered":"

Abstract<\/strong><\/p>\n

Many 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.<\/p>\n","protected":false},"excerpt":{"rendered":"

Abstract Many 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 … <\/p>\n

Continue reading “Simplified descriptions of stochastic oscillators – Benjamin Lindner”<\/span><\/a><\/p>\n","protected":false},"author":9,"featured_media":10777,"template":"","meta":{"_editorskit_title_hidden":false,"_editorskit_reading_time":0,"_editorskit_is_block_options_detached":false,"_editorskit_block_options_position":"{}","_uag_custom_page_level_css":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[221],"class_list":["post-10775","tribe_events","type-tribe_events","status-publish","has-post-thumbnail","hentry","tribe_events_cat-biomedical-mathematics-colloquium","cat_biomedical-mathematics-colloquium"],"yoast_head":"\nSimplified descriptions of stochastic oscillators - Benjamin Lindner - Biomedical Mathematics Group<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ibs.re.kr\/bimag\/event\/simplified-descriptions-of-stochastic-oscillators-benjamin-lindner\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Simplified descriptions of stochastic oscillators - Benjamin Lindner - Biomedical Mathematics Group\" \/>\n<meta property=\"og:description\" content=\"Abstract Many natural systems exhibit oscillations that show sizeable fluctuations in frequency and amplitude. 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