Colloquia

Abstract: In this talk, I will look at an old problem of very simple flow on a torus, 
x' = wx + g(x,y)
y' = wy
In particular, I will be interested in the phase-locked states for this system.  A common class of phase models  has the form that
g(x,y) = a(y) sin(x) + b(y) cos(x)
I show that this system is equivalent to a simple  map:
r' = m(r)