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X-WR-CALNAME:cmc.deusto.eus
X-WR-CALDESC:DeustoCCM - Chair of Computational Mathematics at University of Deusto
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UID:MEC-7a414e206919e1bec6229cad4006983b@cmc.deusto.eus
DTSTART:20230620T143000Z
DTEND:20230620T153000Z
DTSTAMP:20251031T213000Z
CREATED:20251031
LAST-MODIFIED:20251031
PRIORITY:5
TRANSP:OPAQUE
SUMMARY:Port-Hamiltonian approach to interacting particle systems
DESCRIPTION:Next Tuesday June 20, 2023 we have as part of the Mathematisches Kolloquium at our Faculty of Sciences at FAU:\nPort-Hamiltonian approach to interacting particle systems\nBy Prof. Dr. Birgit Jacob, Bergische Universität Wuppertal\nHost: Our Akad. Dir. Prof. Dr. Martin Gugat\nAbstract. Port-Hamiltonian systems represent an important and attractive novel paradigm for the mathematical modeling of dynamical systems. Port-Hamiltonian coupling genuinely guarantees stability of the overall system when the individual systems are stable, a feature that is lacking in other coupling approaches. We derive a port-Hamiltonian formulation of a general class of interacting particle systems driven by alignment and potential-based force dynamics which include the Cucker-Smale model with potential interaction and the second order Kuramoto model. The port-Hamiltonian structure allows to characterize conserved quantities such as Casimir functions as well as the long-time behaviour using a LaSalle-type argument on the particle level. Futher, the port-Hamiltonian structure is preserved in the mean-field limit.\nWHERE\nHS H13\nFAU. Department Mathematik\nCauerstr. 11, Erlangen\n \n
URL:https://cmc.deusto.eus/events-calendar/port-hamiltonian-approach-to-interacting-particle-systems/
CATEGORIES:Seminar/Talk
LOCATION:FAU - Faculty of Sciences
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