Quantum mechanics

Types of artificial neural networks

Cellular neural network

Memristor

Chaotic

Engineering

Multistability

Hopfield network

Computer science

Electronic circuit

Physical neural network

Physics

Nonlinear system

Mathematics

Electronic engineering

Attractor

Mathematical analysis

Artificial intelligence

Topology (electrical circuits)

Artificial neural network

Recurrent neural network

Electrical engineering

IEEE Transactions on Circuits & Systems II Express Briefs

Nowadays, there is a lot of study on memristorbased systems with multistability.However, there is no study on memristor with multistability.This brief constructs a mathematical memristor model with multistability.The origin of the multi-stable dynamics is revealed using standard nonlinear theory as well as circuit and system theory.Moreover, the multi-stable memristor is applied to simulate a synaptic connection in a Hopfield neural network.The memristive neural network successfully generates infinitely many coexisting chaotic attractors unobserved in previous Hopfield-type neural networks.The results are also confirmed in analog circuits based on commercially available electronic elements.

A Multi-Stable Memristor and its Application in a Neural Network