BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Elisa Tonello (Freie Universität Berlin) DTSTART:20241024T150000Z DTEND:20241024T153000Z DTSTAMP:20260421T125318Z UID:MoRN/104 DESCRIPTION:Title: D iscrete interaction networks: attractors and cycles\nby Elisa Tonello (Freie Universität Berlin) as part of Seminar on the Mathematics of React ion Networks\n\n\nAbstract\nIn a discrete interaction network\, species co ncentrations are assumed to\ntake on a finite number of values. Interactio n graphs encode the positive\nand negative influences between species\, an d can be explored for insights\ninto the network’s dynamics. It is now w ell-established that in asynchronous dynamics\, multistationarity is only possible in the presence of positive interaction cycles\, while negative i nteraction cycles are linked to cyclic attractors. However\, interaction g raphs often contain many intertwined cycles\, raising the question: which specific cycles are\nassociated with the network's long-term behavior? How can we identify and locate them? In this talk\, we will provide an overvi ew of some answers found in the literature\, as well as discuss new result s and open problems.\n LOCATION:https://researchseminars.org/talk/MoRN/104/ END:VEVENT END:VCALENDAR