2 papers
math.DS2025
Morse Index Classification and Landscape of Kuramoto System for Hebbian-based Binary Pattern Recognition
Xiaoxue Zhao, Xiang Zhou
This study examines the Kuramoto model with a Hebbian learning rule and second-order Fourier coupling for binary pattern recognition. The system stores memorized binary patterns as…
math.DS2025
Enhanced Error-free Retrieval in Kuramoto-type Associative-memory Networks via Two-memory Configuration
Zhuchun Li, Xiaoxue Zhao, Xiang Zhou
We study the associative-memory network of Kuramoto-type oscillators that stores a set of memorized patterns (memories). In [Phys. Rev. Lett., 92 (2004), 108101], Nishikawa, Lai an…