Synchronization in coupled neuronal map on diffusion limited aggregate

We consider a neuron modelled by a map on a random fractal namely a diffusion-limited aggregate. This excitable and chaotic map shows transition to the synchronized state with increasing coupling strengths ϵ. We also study randomness in coupling connection p over and above underlying fractional geom...

Full description

Saved in:
Bibliographic Details
Main Authors: Bhoyar, Priyanka, Gade, Prashant
Format: Conference Proceeding
Language:English
Subjects:
Chaos theory
Coupling
Error analysis
Fractal geometry
Randomness
Synchronism
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider a neuron modelled by a map on a random fractal namely a diffusion-limited aggregate. This excitable and chaotic map shows transition to the synchronized state with increasing coupling strengths ϵ. We also study randomness in coupling connection p over and above underlying fractional geometry. For purely local connections p = 0, the chaotic map stabilizes for all ϵ > ϵfixed. For weaker coupling, the system loses its stability and one obtains chaos. The presence of randomness in coupling p ≠ 0 leads to change in spatiotemporal fixed point ϵfixed. ϵfixed decreases with an increase in p. The system remains chaotic in the range ϵ < ϵfixed. We study average synchronization error with a change in coupling strengths ϵ for p = 0, 0.4, 0.6, 1.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0225449