Mathematical Biology Seminar
Kevin Lin
University of Arizona
Wednesday Feb. 13, 2007
3:05pm in LCB 215
Reliability of coupled oscillators
Abstract:
This talk concerns the reliability of coupled oscillator networks in
response to complex, fluctuating stimuli. Reliability means that
repeated presentations of a stimulus elicit essentially identical
responses regardless of the system's state at the onset of the input.
This work is motivated by basic questions from neuroscience, where the
reliability of a network is relevant to how information may be encoded
and transmitted.
I will show how the question of reliability can be precisely
formulated in the framework of random dynamical systems theory, and
review the well-known fact that single phase oscillators are reliable.
I will then show that unreliability can occur even in a 2-oscillator
system, and propose a geometric mechanism for the observed phenomena.
The talk will
conclude with some observations concerning larger networks, including
a natural condition which precludes unreliability. No prior knowledge
of random dynamical systems theory is assumed.
This is joint work with Eric Shea-Brown and Lai-Sang Young.
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Mathematical Biology Program
Department of Mathematics
University of Utah
155 South 1400 East Room 233
Salt Lake City, UT 84112
rasmusse@math.utah.edu
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