Bifurcations And Chaos In Piecewise-smooth Dynamical Systems : Applications To Power Converters, Relay And Pulse-width Modulated Control Systems, And Human Decision-making Behavior
PREFACE; CONTENTS; Chapter 1 ON THE DYNAMICS OF NONLINEAR SYSTEMS; Chapter 2 BASIC CONCEPTS AND METHODS; Chapter 3 RELAY CONTROL SYSTEMS; Chapter 4 BIFURCATIONS AND CHAOTIC OSCILLATIONS IN RELAY SYSTEMS; Chapter 5 CHAOTIC OSCILLATIONS IN PULSE-WIDTH MODULATED SYSTEMS; Chapter 6 BORDER-COLLISION BIFURCATIONS ON A TWO-DIMENSIONAL TORUS; Chapter 7 BORDER-COLLISION BIFURCATIONS IN A MANAGEMENT SYSTEM; INDEX
Summary
Technical problems often lead to differential equations withpiecewise-smooth right-hand sides. Problems in mechanicalengineering, for instance, violate the requirements of smoothness ifthey involve collisions, finite clearances, or stickslipphenomena