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arXiv · 2512.02511

Time-delayed feedback control for random dynamical systems

Miki U. Kobayashi·Yuzuru Sato
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Abstract

We extend the Pyragas time-delayed feedback control (TDFC) to apply it to random dynamical systems and introduce an extended classification based on Lyapunov exponents and trajectory fluctuations. We demonstrate the applicability of this framework using the random logistic map and the stochastic R\"ossler system. Our results reveal that noise-induced chaos triggers a transition from stable to unstable regimes based on a phenomenon inherent to random dynamical systems.

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Miki U. Kobayashi, Yuzuru Sato. 2025-12-02. Time-delayed feedback control for random dynamical systems. https://arxiv.org/abs/2512.02511

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