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DTSTART;TZID=Europe/Brussels:20260824T130000
DTEND;TZID=Europe/Brussels:20260824T140000
DTSTAMP:20260711T045751
CREATED:20260709T135038Z
LAST-MODIFIED:20260709T135055Z
UID:2685-1787576400-1787580000@www.naxys.be
SUMMARY:Iva Bačić (University of Belgrade)
DESCRIPTION:Title: Phase locking and multistability in the topological Kuramoto model on cell complexes \nAbstract: Higher-order interactions fundamentally shape collective dynamics in oscillator networks. The topological Kuramoto model captures these effects by extending synchronization models to include interactions between cells of arbitrary dimension within simplicial and cell complexes. We introduce the topological nonlinear Kirchhoff conditions to characterize all phase-locked states of the topological Kuramoto model. These states are organized by winding numbers associated with generalized independent cycles\, which quantify how phases wind around these cycles. Using rings\, Platonic solids\, and regular simplices as illustrative examples\, we uncover a universal rule: boundaries must have at least five elements for multistability to arise. We further find that independent winding numbers associated with lower- and higher-dimensional boundaries generate cascades of multistability across dimensions. These results show how the topology and boundary structure of cell complexes influence phase locking and multistability\, and provide a general framework for collective dynamics on cell complexes. \nThis seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/iva-bacic-university-of-belgrade/
CATEGORIES:NAXYS Seminar
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BEGIN:VEVENT
DTSTART;TZID=Europe/Brussels:20260914T130000
DTEND;TZID=Europe/Brussels:20260914T140000
DTSTAMP:20260711T045751
CREATED:20260608T145106Z
LAST-MODIFIED:20260623T121345Z
UID:2678-1789390800-1789394400@www.naxys.be
SUMMARY:Serge Richard (Nagoya University)
DESCRIPTION:Title:  \nAbstract:  \nThis seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/serge-richard-nagoya-university/
CATEGORIES:NAXYS Seminar
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BEGIN:VEVENT
DTSTART;TZID=Europe/Brussels:20261001T130000
DTEND;TZID=Europe/Brussels:20261001T140000
DTSTAMP:20260711T045751
CREATED:20260402T100822Z
LAST-MODIFIED:20260408T162039Z
UID:2650-1790859600-1790863200@www.naxys.be
SUMMARY:Nelly Litvak (Eindhoven University of Technology)
DESCRIPTION:Title:  \nAbstract:  \nThis seminar will take place in Room S08 at the Faculty of Sciences.
URL:https://www.naxys.be/event/nelly-litvak-eindhoven-university-of-technology/
CATEGORIES:NAXYS Seminar
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