Huepe: New Perspectives in the Study of Swarming Systems
Mar
10
Mon 4:00 PM
When Monday, March 10, 2008
Time
4:00 PM - 5:00 PM
Where Tech M416
Contact Danielle Jackson
847-491-5586
Group McCormick-Colloquia Engineering Sciences and Applied Mathematics
Applied Math Colloquium
Title: New Perspectives in the Study of Swarming Systems
Speaker: Cristian Huepe, Northwestern University
Abstract: Throughout the last decade, various frameworks have been developed to study the collective dynamics of swarms of self-propelled agents such as bird flocks, fish schools, herds of quadrupeds, or even groups of autonomous robots. Different swarming theories have been able to characterize one of the main features of these systems: The emergence of states of collective order in which agents move in the same direction. However, most of the existing approaches provide little insight into the many other interesting self-organizing phenomena occurring in swarms, such as the formation of spatial structures or the emergence of collective decision making processes. In this talk, I will overview current approaches for analyzing swarming systems and discuss various new experimental, numerical, and theoretical results that could help develop a more complete theory of swarms. In particular, I will: (1) Introduce new order parameters describing the collective dynamics of swarms. (2) Present a network approach where analytical mean-field calculations can be carried out. (3) Discuss recent robotic experiments where this approach is directly applicable. (4) Introduce a simple swarming model that allows mathematical proofs of convergence.
Title: New Perspectives in the Study of Swarming Systems
Speaker: Cristian Huepe, Northwestern University
Abstract: Throughout the last decade, various frameworks have been developed to study the collective dynamics of swarms of self-propelled agents such as bird flocks, fish schools, herds of quadrupeds, or even groups of autonomous robots. Different swarming theories have been able to characterize one of the main features of these systems: The emergence of states of collective order in which agents move in the same direction. However, most of the existing approaches provide little insight into the many other interesting self-organizing phenomena occurring in swarms, such as the formation of spatial structures or the emergence of collective decision making processes. In this talk, I will overview current approaches for analyzing swarming systems and discuss various new experimental, numerical, and theoretical results that could help develop a more complete theory of swarms. In particular, I will: (1) Introduce new order parameters describing the collective dynamics of swarms. (2) Present a network approach where analytical mean-field calculations can be carried out. (3) Discuss recent robotic experiments where this approach is directly applicable. (4) Introduce a simple swarming model that allows mathematical proofs of convergence.
