Remco Leine & Henk Nijmeijer 
Dynamics and Bifurcations of Non-Smooth Mechanical Systems [PDF ebook] 

This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.

Mục lục

1 Introduction.- 2 Preliminaries on Non-smooth Analysis.- 3 Differential Inclusions.- 4 Modelling of Dry Friction.- 5 Mechanical Systems with Set-valued Force-laws.- 6 Numerical Integration Methods.- 7 Fundamental Solution Matrix.- 8 Bifurcations of Equilibria in Non-smooth Continuous Systems.- 9 Bifurcations of Periodic Solutions.- 10 Concluding Remarks.- References.