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The interaction between stationary localized states have long been studied, but localized states may undergo a number of instabilities that lead to more complicated dynamical regimes. In this case, the effects of the interaction are much less known. This chapter addresses the problem of the interaction between oscillatory and excitable localized states in a Kerr cavity. These oscillatory structures...
Numerical bifurcation computations are used to characterize traveling waves for a family of models of thalamic neurons in a network. These models consist of two layers of neurons: one made up of excitatory neurons, and the other of inhibitory ones. The interplay of these two different couplings gives rise to the propagation of activity waves. This article contains some preliminary work on the characterization...
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