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

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.

arXiv comment8 pages, 4 figures

Cited by in corpus (12)

• Associative memory storing an extensive number of patterns based on a network of oscillators with distributed natural frequencies in the presence of external white noise
• Chaos and relaxation oscillations in spin-torque windmill neurons
• Oscillator neural network model with distributed native frequencies
• Bi-stability of mixed states in neural network storing hierarchical patterns
• Reconfigurable neural spiking in bias field-free spin Hall nano oscillator
• An associative memory of Hodgkin-Huxley neuron networks with Willshaw-type synaptic couplings
• Acceleration effect of coupled oscillator systems
• Acceleration effect caused by the Onsager reaction term in a frustrated coupled oscillator system
• Highly Versatile FPGA-Implemented Cyber Coherent Ising Machine
• Non-standard scaling law of fluctuations in finite-size systems of globally coupled oscillators
• Neuromorphic computing with nanoscale spintronic oscillators
• Emergence of long-term rhythmicity within a frustrated triangle oscillator-network