Critical Dynamics and Cyclic Memory Retrieval in Non-reciprocal Hopfield Networks.

Shuyue Xue, Mohammad Maghrebi, George I Mias, Carlo Piermarocchi

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Article in ArXiv, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed

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1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

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0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

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PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Shuyue XueDepartment of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.

Mohammad MaghrebiDepartment of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.

George I MiasDepartment of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.

Carlo PiermarocchiDepartment of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.

Funding

Network models of differentiation landscapes for angiogenesis and hematopoiesisR35GM149261 · NIGMS · MICHIGAN STATE UNIVERSITY · PI Carlo Piermarocchi · 2023 to 2026

$1.5M

NIGMS NIH HHS R35 GM149261

6 · The paper itself

Abstract

We study Hopfield networks with non-reciprocal coupling inducing switches between memory patterns. Dynamical phase transitions occur between phases of no memory retrieval, retrieval of multiple point-attractors, and limit-cycle attractors. The limit cycle phase is bounded by two critical regions: a Hopf bifurcation line and a fold bifurcation line, each with unique dynamical critical exponents and sensitivity to perturbations. A Master Equation approach numerically verifies the critical behavior predicted analytically. We discuss how these networks could model biological processes near a critical threshold of cyclic instability evolving through multi-step transitions.

Identifiers

PMID39801622

PMCPMC11722511

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.