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The Center for Control, Dynamical Systems, and Computation University of California at Santa Barbara
 

Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Fall 2008 Seminar Series
Presents
The nonlinear dynamics of complex networks: from
highway traffic to olfactory neurons
Gabor Orosz
UC Santa Barbara
Friday, October 24, 2008 3:00-4:00pm Webb 1100
Abstract:
We use networks every day when browsing the internet or commuting to work by the
road network. Our body also contains networks, for example the most advanced neural
network on Earth, the human brain. In order to regulate these networks (e.g., control traffic
to avoid congestion; control neural networks to treat diseases) it is crucial to understand
their dynamics that are highly nonlinear. I will focus on two specific challenging problems:
(i) the mechanism of traffic jam formation on highways with an eye to the roles of reaction
time-delays; (ii) neural coding via winnerless competition of partially synchronized cluster
states in olfactory systems. I will address these problems by using recently developed
methods of bifurcation theory that allow me to map out the emergent dynamics: global
phenomena that are originated in local characteristics.

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics