Attractor-merging Crises and Intermittency in Reservoir Computing
April 17, 2025 Β· Declared Dead Β· π Physical Review Research
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Authors
Tempei Kabayama, Motomasa Komuro, Yasuo Kuniyoshi, Kazuyuki Aihara, Kohei Nakajima
arXiv ID
2504.12695
Category
nlin.CD
Cross-listed
cs.LG,
cs.NE,
math.DS
Citations
2
Venue
Physical Review Research
Last Checked
3 months ago
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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