Noise-Driven Phenomena in Hysteretic Systems

Adopting a generalized approach to nonlinear systems with hysteresis driven by noisy inputs, this book proposes a unitary framework for analyzing stochastic aspects of hysteresis, deploying a variety of models to portray the input noise-from white to pink.

Noise-Driven Phenomena in Hysteretic Systems provides a general approach to nonlinear systems with hysteresis driven by noisy inputs, which leads to a unitary framework for the analysis of various stochastic aspects of hysteresis. This book includes integral, differential and algebraic models that are used to describe scalar and vector hysteretic nonlinearities originating from various areas of science and engineering. The universality of the authors approach is also reflected by the diversity of the models used to portray the input noise, from the classical Gaussian white noise to its impulsive forms, often encountered in economics and biological systems, and pink noise, ubiquitous in multi-stable electronic systems. The book is accompanied by HysterSoft© - a robust simulation environment designed to perform complex hysteresis modeling that can be used by the reader to reproduce many of the results presented in the book as well as to research both disruptive and constructive effects of noise in hysteretic systems.

Examines the investigation of constructive effects of noise in hysteretic systems Discusses hysteretic systems with complex metastable state configurations Provides an overview of key results on signal processing (dithering effect) and nanotechnology (signal amplification in carbon nanotube transistors) to climate models (ice age) and neuroscience (neuron spiking)

Autorentext

Dr. Mihai Dimian is Associate Professor in Electrical and Computer Engineering at Howard University, Washington DC, and Professor in Electrical Engineering and Computer Science at Stefan cel Mare University, Suceava, Romania

Dr. Petru Andrei is Associate Professor of Electrical and Computer Engineering at Florida State University and Florida Agricultural and Mechanical University in Tallahassee FL

Klappentext
Noise-Driven Phenomena in Hysteretic Systems provides a general approach to nonlinear systems with hysteresis driven by noisy inputs, which leads to a unitary framework for the analysis of various stochastic aspects of hysteresis. This book includes integral, differential and algebraic models that are used to describe scalar and vector hysteretic nonlinearities originating from various areas of science and engineering. The universality of the authors approach is also reflected by the diversity of the models used to portray the input noise, from the classical Gaussian white noise to its impulsive forms, often encountered in economics and biological systems, and pink noise, ubiquitous in multi-stable electronic systems. The book is accompanied by HysterSoft© - a robust simulation environment designed to perform complex hysteresis modeling that can be used by the reader to reproduce many of the results presented in the book as well as to research both disruptive and constructive effects of noise in hysteretic systems.

Inhalt
Mathematical Models of Hysteresis.- Noise and Stochastic Processes.- Stochastically Driven Hysteresis Systems in Science and Engineering.- Noise Driven Relaxation Phenomena in Hysteretic Systems.- Noise Spectral Density of Hysteretic Systems.- Constructive Effects of Noise in Hysteretic Systems.