When subjects are exposed to full field flicker in certain
frequencies, they perceive a variety of complex geometric patterns
that are often called flicker hallucinations. On the other hand, when
looking at high contrast geometric patterns like op art, shimmering
and flickering is observed. In some people, flicker or such op art can
induce seizures. In this talk, I describe a simple network model of
excitatory and inhibitory neurons that comprise the visual area of the
brain. I show that these phenomena are reproduced and then give an
explanation based on symmetry breaking bifurcations and Floquet
theory. Symmetric bifurcation theory also shows why one expects a
different class of patterns at high frequencies from those at low
frequencies.
The visual system is also very sensitive to specific spatial
frequencies and this sensitivity can be pathological in the case of
so-called pattern-sensitive epilepsy. It has been shown that certain
types of "op art" can cause visual discomfort. We show that the
network that we used in flicker is also sensitive to spatially
periodic inputs and suggest that a Hopf bifurcation instability is
responsible for the discomfort and seizures.
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