Chaotic stochastic resonance in Mackey-Glass equations
Chaotic Dynamics
2026-01-09 v4
Abstract
Stochastic resonance (SR) manifests as switching dynamics between two quasi-stationary states in the stochastic Mackey-Glass equation. We identify chaotic SR, arising from the coexistence of resonance and chaos in stochastic dynamics. In contrast to classical SR, which is described by a random point attractor with a negative largest Lyapunov exponent, chaotic SR is described by a random strange attractor with a positive largest Lyapunov exponent. We observe chaotic SR in the Mackey-Glass equation as well as chaotic SR in the Duffing equation and the underdamped FitzHugh-Nagumo equation, demonstrating the universality of this phenomenon across a broad class of strongly nonlinear random dynamical systems.
Cite
@article{arxiv.2505.04874,
title = {Chaotic stochastic resonance in Mackey-Glass equations},
author = {Eiki Kojima and Yuzuru Sato},
journal= {arXiv preprint arXiv:2505.04874},
year = {2026}
}
Comments
9 pages, 9 figures