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Attractor-merging Crises and Intermittency in Reservoir Computing

Physical Review Research (PRR), 2025
Main:6 Pages
16 Figures
Appendix:14 Pages
Abstract

Reservoir computing can embed attractors into random neural networks (RNNs), generating a ``mirror'' of a target attractor because of its inherent symmetrical constraints. In these RNNs, we report that an attractor-merging crisis accompanied by intermittency emerges simply by adjusting the global parameter. We further reveal its underlying mechanism through a detailed analysis of the phase-space structure and demonstrate that this bifurcation scenario is intrinsic to a general class of RNNs, independent of training data.

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