We analyze the existence and stability of phase-locked states of neurons coupled
electrically with gap junctions. We show that spike shape and size, along with driving current …

A Lyapunov function for the phase-locked state of the Kuramoto model of non-linearly
coupled oscillators is presented. It is also valid for finite-range interactions and allows the …

Exploiting local stability, we show what neuronal characteristics are essential to ensure that
coherent oscillations are asymptotically stable in a spatially homogeneous network of …

We analyze the dynamics of pulse coupled oscillators depending on strength and delay of
the interaction. For two oscillators, we derive return maps for subsequent phase differences …

Information coding by precise timing of spikes can be faster and more energy efficient than
traditional rate coding. However, spike-timing codes are often brittle, which has limited their …

We study analytically a model of long-term synaptic plasticity where synaptic changes are
triggered by presynaptic spikes, postsynaptic spikes, and the time differences between …

A key problem in computational neuroscience is to find simple, tractable models that are
nevertheless flexible enough to capture the response properties of real neurons. Here we …

Brain-inspired spiking neural networks (SNNs) have gained prominence in the field of
neuromorphic computing owing to their low energy consumption during feedforward …

The presence of gap junction coupling among neurons of the central nervous systems has
been appreciated for some time now. In recent years there has been an upsurge of interest …

Changes of synaptic connections between neurons are thought to be the physiological basis
of learning. These changes can be gated by neuromodulators that encode the presence of …