Non-Smooth Deterministic or Stochastic Discrete Dynamical Systems Applications to Models with Friction or Impact

by Bastien, Jerome; Bernardin, Frederic; Lamarque, Claude-Henri

• ISBN13: 9781848215252
• ISBN10: 1848215258
• Edition: 1st
• Format: Hardcover
• Copyright: 2013-02-25
• Publisher: Wiley-ISTE
• More Book Details

Summary

This book contains theoretical and application oriented methods to treat models of dynamical systems involving non smooth nonlinearities. These non smooth nonlinearities are introduced to take into account friction or impact models in discrete dynamical systems via differential inclusions of mainly finite dimensional dynamical systems. In order to describe real solicitations exerted on physical systems, these methods are developed and presented in the deterministic and stochastic frames.

Author Biography

Claude-Henri LAMARQUE, Head of LGCB, Professor ENTPE, Vaulx-en-Velin, France.

Jérôme BASTINE, Assistant Professor at the University Lyon 1, Lyon, France.

Frédéric BERNARDIN, Research Engineer at CETE de Lyon (DLCF), Lyon, France.

Table of Contents

Foreword

Introduction

Chapter 1 – A few simple examples

Chapter 2 – Theoretical deterministic context

Chapter 3 – Theoretical stochastic context

Chapter 4 – Theoretical Riemannian context

Chapter 5 – Systems with friction

Chapter 6 – Systems with impact

Chapter 7 – Applications and extensions

Appendices

Bibliography

Index