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A regularly spiking neuron can be studied using a phase model. The effect of an input stimulus current on the phase time derivative is captured by a phase response curve. This paper adapts a technique that was previously applied to conductance-based models to discover optimal input stimulus currents for phase models. First, the neuron phase response θ(t) due to an input stimulus current i(t) is computed...
In this paper we analyze and compare the long term behavior of certain non-Abelian generalizations of the integrable Toda lattice flow. In particular, we show that these flows exhibit generalized sorting behavior analogous to the sorting behavior of the original tridiagonal Toda lattice. We show that one of these generalizations, the block double bracket equation, is gradient with respect to a normal...
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