Chaos control and synchronization

Latest papers

• Adam at the Edge of Stability: Adaptive Feedback, Provable Oscillation, and Gradient Reversal

  Yiman Fong, Heng Yang · 2 October 2026

  The edge-of-stability (EoS) phenomenon of full-batch Adam has been widely observed, yet its underlying dynamical mechanism remains poorly understood. In this paper, we identify Adam's second-moment adaptation as a negative-feedback mechanism that drives the dynamics toward the stability boundary. We…

• Demodulation of chaotic signals using convolutional neural network

  Mykola Kozlenko, Emrullah Demiral, Anton Yudhana · 21 July 2026

  Chaotic modulation is an effective communication technique that exploits deterministic chaos to produce pseudo-random signals. A widely adopted approach involves modulation of the chaotic bifurcation parameter. This paper introduces a deep learning-based demodulation method for keying of the bifurca…

• Stabilizing autoregressive forecasts in chaotic systems via multi-rate latent recurrence

  Mrigank Dhingra, Omer San · 22 January 2026

  Long-horizon autoregressive forecasting of chaotic dynamical systems remains challenging due to rapid error amplification and distribution shift: small one-step inaccuracies compound into physically inconsistent rollouts and collapse of large-scale statistics. We introduce MSR-HINE, a hierarchical i…

• Detecting Stochasticity in Discrete Signals via Nonparametric Excursion Theorem

  Sunia Tanweer, Firas A. Khasawneh · 12 January 2026

  We develop a practical framework for distinguishing diffusive stochastic processes from deterministic signals using only a single discrete time series. Our approach is based on classical excursion and crossing theorems for continuous semimartingales, which correlates number $N_\varepsilon$ of excurs…