.. currentmodule:: brian

.. index::
   pair: example usage; NeuronGroup
   pair: example usage; run
   pair: example usage; PopulationRateMonitor
   pair: example usage; raster_plot
   pair: example usage; Connection
   pair: example usage; SpikeMonitor

.. _example-misc_transient_sync:

Example: transient_sync (misc)
==============================

Transient synchronisation in a population of noisy IF neurons
with distance-dependent synaptic weights (organised as a ring)

::

    from brian import *
    
    tau = 10 * ms
    N = 100
    v0 = 5 * mV
    sigma = 4 * mV
    group = NeuronGroup(N, model='dv/dt=(v0-v)/tau + sigma*xi/tau**.5 : volt', \
                      threshold=10 * mV, reset=0 * mV)
    C = Connection(group, group, 'v', weight=lambda i, j:.4 * mV * cos(2. * pi * (i - j) * 1. / N))
    S = SpikeMonitor(group)
    R = PopulationRateMonitor(group)
    group.v = rand(N) * 10 * mV
    
    run(5000 * ms)
    subplot(211)
    raster_plot(S)
    subplot(223)
    imshow(C.W.todense(), interpolation='nearest')
    title('Synaptic connections')
    subplot(224)
    plot(R.times / ms, R.smooth_rate(2 * ms, filter='flat'))
    title('Firing rate')
    show()