Non-Smooth Deterministic or Stochastic Discrete Dynamical Systems (Hardcover)

Jerome Bastien

ISBN 10: 1848215258 / ISBN 13: 9781848215252

Published by ISTE Ltd and John Wiley & Sons Inc, London, 2013

About this Item

Hardcover. This book contains theoretical and application-oriented methods to treat models of dynamical systems involving non-smooth nonlinearities. The theoretical approach that has been retained and underlined in this work is associated with differential inclusions of mainly finite dimensional dynamical systems and the introduction of maximal monotone operators (graphs) in order to describe models of impact or friction. The authors of this book master the mathematical, numerical and modeling tools in a particular way so that they can propose all aspects of the approach, in both a deterministic and stochastic context, in order to describe real stresses exerted on physical systems. Such tools are very powerful for providing reference numerical approximations of the models. Such an approach is still not very popular nevertheless, even though it could be very useful for many models of numerous fields (e.g. mechanics, vibrations, etc.). This book is especially suited for people both in research and industry interested in the modeling and numerical simulation of discrete mechanical systems with friction or impact phenomena occurring in the presence of classical (linear elastic) or non-classical constitutive laws (delay, memory effects, etc.). It aims to close the gap between highly specialized mathematical literature and engineering applications, as well as to also give tools in the framework of non-smooth stochastic differential systems: thus, applications involving stochastic excitations (earthquakes, road surfaces, wind models etc.) are considered. This practical work bridges the gap between highly specialized mathematical literature and real-world engineering applications, providing researchers and engineers in diverse technical fields with a framework of non smooth stochastic differential systems and applications involving stochastic excitations. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9781848215252

Bibliographic Details

• Title: Non-Smooth Deterministic or Stochastic Discrete Dynamical Systems (Hardcover)
• Publisher: ISTE Ltd and John Wiley & Sons Inc, London
• Publication Date: 2013
• Language: English
• ISBN 10: 1848215258
• ISBN 13: 9781848215252
• Binding: Hardcover
• Edition: 1st Edition
• Condition: new

About this title

Synopsis

This book contains theoretical and application-oriented methods to treat models of dynamical systems involving non-smooth nonlinearities.

The theoretical approach that has been retained and underlined in this work is associated with differential inclusions of mainly finite dimensional dynamical systems and the introduction of maximal monotone operators (graphs) in order to describe models of impact or friction. The authors of this book master the mathematical, numerical and modeling tools in a particular way so that they can propose all aspects of the approach, in both a deterministic and stochastic context, in order to describe real stresses exerted on physical systems. Such tools are very powerful for providing reference numerical approximations of the models. Such an approach is still not very popular nevertheless, even though it could be very useful for many models of numerous fields (e.g. mechanics, vibrations, etc.).

This book is especially suited for people both in research and industry interested in the modeling and numerical simulation of discrete mechanical systems with friction or impact phenomena occurring in the presence of classical (linear elastic) or non-classical constitutive laws (delay, memory effects, etc.). It aims to close the gap between highly specialized mathematical literature and engineering applications, as well as to also give tools in the framework of non-smooth stochastic differential systems: thus, applications involving stochastic excitations (earthquakes, road surfaces, wind models etc.) are considered.

About the Author

Jérôme BASTIEN is Assistant Professor at the University Lyon 1 (Centre de recherche et d'Innovation sur le sport) in France.

Frédéric BERNARDIN is a Research Engineer at Département Laboratoire de Clermont-Ferrand (DLCF), Centre d'Etudes Techniques de l'Equipement (CETE), Lyon, France.

Claude-Henri LAMARQUE is Head of Laboratoire Géomatériaux et Génie Civil (LGCB) and Professor at Ecole des Travaux Publics de l'Etat (ENTPE), Vaulx-en-Velin, France.