BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ingrid Membrillo Solís (University of Southampton - UK) DTSTART:20230217T160000Z DTEND:20230217T170000Z DTSTAMP:20260423T022924Z UID:GEOTOP-A/36 DESCRIPTION:Title: Spaces of discrete vector fields and their applications to complex syste ms dynamics\nby Ingrid Membrillo Solís (University of Southampton - U K) as part of GEOTOP-A seminar\n\n\nAbstract\nA complex system is formed b y entities that\, through their interactions and dependencies\, give rise to a unified whole with properties and behavior distinct from those of its constituent parts. Examples of complex systems are the human brain\, livi ng cells\, the Earth's global climate\, organisms\, smart materials\, ecos ystems and the economy. Modelling complex systems dynamics is challenging due to the high dimensionality and variety of the non-linear phenomena tha t these systems exhibit\, such as network and pattern formation\, evolutio n\, adaptation and self-organization. \n\nIn this talk\, we will present a data-driven approach to studying complex systems using spaces of discrete vector fields. These spaces can be endowed with a family of metrics that allow us to keep track of the dynamics of complex systems. We will show t hat this geometric framework can be used for dimensionality reduction\, de tection of stable and unstable global attractors\, and quantification of p hysical properties. In particular\, we will show applications to the analy sis of data obtained from simulations and experiments of soft matter mater ials\, and simulations of pattern formation on curved domains. This is par t of joint works with M. Van Rossem\, T. Orlova\, N. Podoliak\, T. Madelei ne\, H. Sohn\, I. Smalyukh\, G. D'Alessandro\, M. Kaczmarek and J. Brodzki .\n LOCATION:https://researchseminars.org/talk/GEOTOP-A/36/ END:VEVENT END:VCALENDAR