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SUMMARY:[ANNULE] Large-scale dynamics of self-propelled particles moving t
 hrough obstacles: how environment affects particle swarms
DTSTART:20230328T131500Z
DTEND:20230328T141500Z
DTSTAMP:20260610T221400Z
UID:indico-event-9579@indico.math.cnrs.fr
DESCRIPTION:Speakers: Diane Peurichard (INRIA Paris)\n\nWe investigate the
  collective motion of self-propelled agents in an environment filled with 
 obstacles that are tethered to fixed positions via springs. The active par
 ticles are able to modify the environment by moving the obstacles through 
 repulsion forces. This creates feedback interactions between the particles
  and the obstacles from which a breadth of patterns emerges (trails\, band
 \, clusters\, honey-comb structures\,...). We derive a macroscopic partial
  differential equations model from the agent-based dynamics describing the
  interactions between the self-propelled particles and the obstacles\, und
 er large tether stiffness. We perform an in-depth investigation of pattern
  formation of the discrete and continuum models in 2D: we provide phase-di
 agrams and determine the key mechanisms for bifurcations to happen using l
 inear stability analysis. As a result\, we discover that the agent-agent r
 epulsion\, the agent-obstacle repulsion and the obstacle's spring stiffnes
 s are the key forces in the appearance of patterns\, while alignment force
 s between the particles play a secondary role. We present an innovative me
 thodology to compare discrete and continuum models that we apply here to p
 erform an in-depth analysis of the agreement between the discrete and cont
 inuum models.\n\nhttps://indico.math.cnrs.fr/event/9579/
LOCATION:112 (Bâtiment Braconnier\, La Doua)
URL:https://indico.math.cnrs.fr/event/9579/
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