Physical review. E, Statistical, nonlinear, andâ€¦

2009

Transitions between dynamical states in integrate-and-fire neuron models with periodic stimuli result from tangent or discontinuous bifurcations of a return map. We study their characteristic scalingâ€¦ (More)

We study the long-term average frequency as a function of the natural frequency for Kuramoto oscillators with periodic coefficients. Unlike the case for more general periodically forced oscillators,â€¦ (More)

We explore the dynamics of an integrate-and-fire neuron with an oscillatory stimulus. The frustration due to the competition between the neuronâ€™s natural firing period and that of the oscillatoryâ€¦ (More)

We develop an analytic framework to investigate the stability of splay states in infinite networks of identical integrate-and-fire neurons coupled through synaptic pulses. More specifically weâ€¦ (More)

We explore patterns in the spike timing of neurons receiving periodic inputs, with an emphasis on stable characteristics which are realized in both models and in-vitro whole-cell recordings. Weâ€¦ (More)

We investigate extensions to the model put forward by Brody and Hopfield [1] for spike-timing based pattern recognition applied to mammalian olfaction. Their model implements a pattern recognitionâ€¦ (More)

We study a network of N identical leaky integrate-and-fire model neurons coupled by Î±-function pulses, weighted by a coupling parameter K. Studies of the dynamics of this system have mostly focusedâ€¦ (More)

We present a complete classification of attractors for networks of coupled identical Kuramoto oscillators. In such networks, each oscillator is driven by the same first-order trigonometric function,â€¦ (More)