When we observe an ambiguous image such as the ones below, our percept tends to flip sporadically between different interpretations of the image. For each percept the neural activity is in a ...

In some models of the brain, memories are stored in repeating patterns of information exchange called “attractor networks”. These form within webs of interconnected nodes that are used to represent ...

An investigation of qualitative features of flows on manifolds, in terms of their attractors and quasi-attractors. A quasi-attractor is any nonempty intersection of attractors. It is shown that ...

Quarterly of Applied Mathematics, Vol. 71, No. 2 (June 2013), pp. 369-399 (31 pages) This paper is concerned with the asymptotical behavior of multi-valued processes. First, we establish some ...