A new neuron activation function based on a property found in physical systems--hysteresis--is proposed. We incorporate this neuron activation in a fully connected dynamical system to form the hysteretic Hopfield neural network (HHNN). We then present an analog implementation of this architecture and its associated dynamical equation and energy function.We proceed to prove Lyapunov stability fo...

In this note we present results for nonlinear and hysteretic constitutive laws for lled elastomers. Theoretical, computational and experimental results are given.

State-of-the-art microprocessors as well as Digital-Signal Processing (DSP) circuits demand power supplies to be quick, accurate, and capable of delivering high currents. Additionally, portable battery-powered applications, like laptop computers, require these Integrated Circuits (IC's) to be power efficient to extend battery life. In terms of speed, which also translates to accuracy, of course...

While most hydrological models reproduce the general flow dynamics, they frequently fail to adequately mimic system-internal processes. In particular, the relationship between storage and discharge, which often follows annual hysteretic patterns in shallow hard-rock aquifers, is rarely considered in modelling studies. One main reason is that catchment storage is difficult to measure, and anothe...