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VERSION:2.0
CALSCALE:GREGORIAN
PRODID:UW-Madison-Physics-Events
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SEQUENCE:0
UID:UW-Physics-Event-1093
DTSTART:20080415T170500Z
DURATION:PT1H0M0S
DTSTAMP:20260506T215447Z
LAST-MODIFIED:20080414T160837Z
LOCATION:4274 Chamberlin Hall
SUMMARY:Chaotic dynamics on large networks\, Chaos & Complex Systems S
 eminar\, Clint Sprott\, UW Department of Physics
DESCRIPTION:Many systems in nature are governed by a large number of a
 gents that interact nonlinearly through complex feedback loops. When t
 he networks are sufficiently large and interconnected\, they typically
  exhibit self-organization and chaos. This talk describes the results 
 of computer simulations of such large networks and shows the condition
 s under which chaos can be expected for an unweighted network of ordin
 ary differential equations with sigmoidal nonlinearities and unit coup
 ling. The largest Lyapunov exponent is used as the signature and measu
 re of chaos\, and the study includes the effects of damping\, asymmetr
 ies in the distribution of coupling strengths\, network symmetry\, and
  sparseness of connections. Minimum conditions and optimal network arc
 hitectures are determined for the existence of chaos. The results have
  implications to the design of social and other networks in the real w
 orld in which weak chaos is desired or as a way of understanding why c
 ertain networks might exist on the edge of chaos.
URL:https://www.physics.wisc.edu/events/?id=1093
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