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Phase Transitions and Modulation in Dense Oscillatory Associative Memories
Abstract
We introduce high-order Winfree models for oscillatory associative memory. We characterize memory performance through the local-stability dichotomy between stored and unstored patterns. Using this criterion, we show that crosstalk noise drives a cascade of ferromagnetic, mixed, and spin-glass transitions as the memory load increases. For both polynomial and exponential Winfree models, we derive the phase boundaries and develop auxiliary-field modulation schemes adapted to the different phases. We further present corresponding circuit designs and numerical simulations that support our theoretical predictions.
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BibTeX
@misc{liu2026phase,
title = {{Phase Transitions and Modulation in Dense Oscillatory Associative Memories}},
author = {Shurui Liu and Zhuchun Li},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.14389},
eprint = {2609.14389},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.14389},
}
RIS
TY - UNPB
TI - Phase Transitions and Modulation in Dense Oscillatory Associative Memories
AU - Shurui Liu
AU - Zhuchun Li
PY - 2026
DA - 2026/09/13
PB - arXiv
DO - 10.48550/arxiv.2609.14389
UR - https://arxiv.org/abs/2609.14389
AB - We introduce high-order Winfree models for oscillatory associative memory. We characterize memory performance through the local-stability dichotomy between stored and unstored patterns. Using this criterion, we show that crosstalk noise drives a cascade of ferromagnetic, mixed, and spin-glass transitions as the memory load increases. For both polynomial and exponential Winfree models, we derive the phase boundaries and develop auxiliary-field modulation schemes adapted to the different phases. We further present corresponding circuit designs and numerical simulations that support our theoretical predictions.
ER -