Type-III intermittency in emergent bursting dynamics of globally coupled rotators
Year: 2025
Authors: Ciszak M., Marino F.
Autors Affiliation: CNR, Ist Nazl Ott, LENS, I-50019 Sesto Fiorentino, FI, Italy; INFN, Sez Firenze, I-50019 Sesto Fiorentino, FI, Italy.
Abstract: Globally coupled populations of phase rotators with linear adaptive coupling can exhibit collective bursting oscillations between asynchronous and partially synchronized states, which can be either periodic or chaotic. Here, we analyze the transition between these two regimes, where the dynamics consists of periods of nearly regular bursting interspersed with irregular spiking intervals, and demonstrate its correspondence to intermittent transition to chaos. Specifically, we consider a bimodal Kuramoto model with linear global feedback, which allows fora mean-field formulation of the dynamics and thus to investigate the phenomenology in the thermodynamic limit. We reconstruct the one-dimensional first-return maps of inter-burst intervals and estimate the Floquet multiplier associated with the unstable bursting solution. The results indicate type-III intermittency, which is also supported by the scaling of the average laminar periods as the control parameter varies, along with their probability density distribution.
Journal/Review: CHAOS SOLITONS & FRACTALS
Volume: 194 Pages from: 116150-1 to: 116150-8
KeyWords: Coupled phase oscillators; Emergent dynamics; Thermodynamic limit; Mean-field models; Type-III intermittency; Slow-fast manifoldDOI: 10.1016/j.chaos.2025.116150