Synchrony and Network Plasticity
Dynamical systems coupled on a network structure have dynamics that are dependent upon the details of the structure. Some systems, particularly neural systems, alter their networks based on the dynamics of their component oscillators; this is called plasticity. We are interested in studying the interplay between the (non-linear) oscillator dynamics and network structure of such systems.
We model plasticity with two components: adaptation, in which the frequency of the oscillators change to match their neighbors, and rewiring, in which the strength of the coupling between pairs of oscillators changes so that synchronized relationships strengthen coupling and unsynchronized relationships weaken it.Featured Results
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The result of a plasticity simulation during which only rewiring occurred. The darkness of the circles represent the frequency of the oscillator. The resulting network has largely non-reciprocal couplings, directed from faster to slower oscillators. Also, clusters have members of similar frequencies (~30% of the total frequency range). |
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Another simulation, this time including frequency adaptation. Clusters are now highly reciprocal, highly transitive, and very similar in frequency. |
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