Polysynchrony is a condition where distinct groups of nodes within the same network can exhibit different synchronization patterns. These nodes do not have to be necessarily connected to one another and it has also been shown that polysynchronous state often emerges in hierarchical networks. An interesting research on this subject published recently in IOP provides an interesting outline of polysynchronicity.
The new paper Colored noise induces synchronization of limit cycle oscillators shows that color noise can induce synchronization among limit-cycle oscillators. This finding interestingly relates to the fact that brain dynamics is characterized by chaotic noise and perhaps shows the potential of noise to be the communication medium for various groups of synchronized constellations of nodes in a network. The abstract of the paper is below:
A very interesting research on Robustness and assortativity for diffusion-like processes in scale-free networks (PDF) confirmed previous findings (Newman 2002) that the networks where the nodes tend to connect to the nodes with the higher degree (so-called assortative networks) are much more susceptible to epidemic contagion than disassortative networks (where nodes mix in a more heterogeneous fashion).
An emerging new field of nonlinear dynamical psychiatry can provide computational methods as well as phenomenological insights for a better understanding of cognition. The core of this theory is the proposition that mental and emotional states are characterized by nonlinear dynamics and metastability. Metastability refers to the ability of the brain’s neuronal network to maintain several distinct states simultaneously, which can integrate globally to produce sensorimotor activity.
During our work on the Radical School Change project we’ve found a lot of different internet resources that help share knowledge on the internet. Some of them are the platforms where people can put up and take other people’s courses, some have free lectures, and some help people collaborate on their research.