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Hebbian Plasticity Rules Abrupt Desynchronization in Pure Simplicial Complexes by Kachhvah, Ajay Deep; Jalan, Sarika is a scholarly article available to read on EtoBox.

What is Hebbian Plasticity Rules Abrupt Desynchronization in Pure Simplicial Complexes about?

This Letter investigates the upshots of adaptive development of pure 2- and 3- simplicial complexes (triad and tetrad) on the nature of the transition to desynchrony of the oscillator ensembles. The adaptation exercised in the pure simplicial coupling takes a cue from the Hebbian learning rule, i.e., the coupling weight of a triad (tetrad) is prone to increase if the oscillators forming it are in phase and decrease if they are out of phase. The coupling weights in these pure simplicial complexes experiencing such adaptation give rise to first-order routes to desynchronization, whose onsets are entirely characterized by respective Hebbian learning parameters. Mean-field analyses presented for the order parameters for the adaptive 2- and 3- simplicial complexes strongly corroborate with the respective numerical assessments.

Author

Kachhvah, Ajay Deep; Jalan, Sarika

Published

2021

Language

EN