Bifurcation And Chaos In Nonsmooth Mechanical Systems
Author:   Jan Awrejcewicz (Technical Univ Of Lodz, Poland) ,  Claude-henri Lamarque (Ecole Nationale Des Travaux Publics De L'etat, France)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   45
ISBN:  

9789812384591


Pages:   564
Publication Date:   16 July 2003
Format:   Hardback
Availability:   Out of stock   Availability explained
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Bifurcation And Chaos In Nonsmooth Mechanical Systems


Overview

This volume presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments.

Full Product Details

Author:   Jan Awrejcewicz (Technical Univ Of Lodz, Poland) ,  Claude-henri Lamarque (Ecole Nationale Des Travaux Publics De L'etat, France)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   45
Dimensions:   Width: 15.10cm , Height: 23.70cm , Length: 23.00cm
Weight:   0.508kg
ISBN:  

9789812384591


ISBN 10:   9812384596
Pages:   564
Publication Date:   16 July 2003
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Introduction to Discontinuous ODEs; Mathematical Background for Multivalued Formulations; Properties of Numerical Schemes; Stick-Slip Oscillator with Two Degrees of Freedom; Piecewiselinear Approximations; Chua Circuit with Discontinuities; One DOF Mechanical System with Friction; A Mechanical System with 7 DOF; Triple Pendulum with Impacts; Analytical Prediction of Stick-Slip Chaos; and other topics.

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