Year: 2021
Type: preprint
Abstract: Nonlinear dynamics emerge through either nonlinear interactions between the variables or through nonlinearities imposed on their linear interactions. Their interactions can be conceptualized as modulations of input-output (I/O) functions, where one variable modulates another variable's I/O function. Within this framework, nonlinear interactions are manifested as gain modulations, where the gain (i.e. slope) of a variable's I/O function is modulated by another variable. By analyzing oscillatory dynamics in modulation phase space, I show that gain modulation qualitatively enhances phase plasticity by loosening the relationship between oscillation phase and instantaneous gain. This finding reveals how gain modulation renders nonlinear dynamics more adaptable. I discuss the direct implications of this finding on the ability of any nonlinear system to get entrained to rhythmic input and synchronize with other systems and how it relates to neural dynamics.
Source: arXiv (Cornell University)
Author: Papasavvas, Christoforos
Institution: Newcastle University
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3135967347