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X-WR-CALDESC:FAU DCN-AvH. Chair for Dynamics, Control, Machine Learning and Numerics -Alexander von Humboldt Professorship
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DTSTART;TZID=Europe/Berlin:20230620T163000
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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://dcn.nat.fau.eu/events/port-hamiltonian-approach-to-interacting-particle-systems/
CATEGORIES:Seminar/Talk
LOCATION:FAU - Faculty of Sciences
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