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Demonstrates chaotic stochastic resonance in nonlinear systems, implying a broader applicability of resonance phenomena.
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.
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Kojima et al. (2026) studied this question.
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