Predicting Pattern Formation in Multilayer Networks.

Predicting Pattern Formation in Multilayer Networks.
Bull Math Biol. 2019 Dec 20;82(1):4
Authors: Hayes SM, Anderson KE
Abstract
We investigate how the structure of interactions between coupled oscillators influences the formation of asynchronous patterns in a multilayer network by formulating a simple, general multilayer oscillator model. We demonstrate the analysis of this model in three-oscillator systems, illustrating the role of interactions among oscillators in sustaining differences in both the phase and amplitude of oscillations leading to the formation of asynchronous patterns. Finally, we demonstrate the generalizability of our model's predictions through comparison with a more realistic multilayer model. Overall, our model provides a useful approach for predicting the types of asynchronous patterns that multilayer networks of coupled oscillators which cannot be achieved by the existing methods which focus on characterizing the synchronous state.
PMID: 31919600 [PubMed - in process]

Source: Bulletin of Mathematical Biology - December 19, 2019 Category: Bioinformatics Authors: Hayes SM, Anderson KE Tags: Bull Math Biol Source Type: research