A statistical mechanics of an oscillator associative memory with scattered natural frequencies

TL;DR

This paper introduces a new mean field theory to analyze non-equilibrium random systems, specifically applying it to an oscillator-based associative memory with natural frequency scattering, advancing understanding of complex large-scale systems.

Contribution

The paper develops a novel mean field theory for non-equilibrium random systems and applies it to analyze an oscillator associative memory with scattered natural frequencies.

Findings

New mean field theory for non-equilibrium systems

Analytic insights into oscillator associative memory

Potential for broader applications in complex systems

Abstract

Analytic treatment of a non-equilibrium random system with large degrees of freedoms is one of most important problems of physics. However, little research has been done on this problem as far as we know. In this paper, we propose a new mean field theory that can treat a general class of a non-equilibrium random system. We apply the present theory to an analysis for an associative memory with oscillatory elements, which is a well-known typical random system with large degrees of freedoms.