Dynamic information routing

[Alireza]

I read an excellent paper which elicited few ideas can be followed. The paper

www.nature.com/ncomms/2016/160412/ncomms11061/full/ncomms11061.html

Shows that how in a network of oscillators, individual node properties, network topology, and the external input can shape the "effective network" of information transfer between the nodes. 

My suggestion: two mechanisms can be imagined to change the flow of information in a two nodes motif with symmetric connections. 1- By changing external input so the natural frequencies the fixed point of the locked state can be moved (that's what exactly Aref have done in his model) 2- With a multi-root odd part of PRC (Q(x)-Q(-x)) the phase locked state is multi-stable and in each fixed point the arrow of information flow can be different. 

Zahra, we can follow this in frustrated networks! I assume in the networks with three nodes or more noise may dynamically change the pattern of information flow. Lets try this

[Alireza]

Following the first suggestion above, I pondered the problem more carefully. It looks easy to define a set of influence-sensitivity for any pair of phase-locked oscillators and engineer these functions with the phase shift -- knowing the PRCs and the synaptic function. These functions in the simplest form could be defined as the convolution of PRC and synaptic inputs (this can be a measure of how much each oscillator recedes from its intrinsic dynamics due to the network effect). This should be related to transfer entropy, I assume, but probably more easy to inspect analytically. In the networks, we may find more influential nodes?

Again I am interested to how imposing a local excitation affects the network dynamics. Again network response to local excitation and spatio-temporal PRC?