Nonlinear Dynamics: The Richard Rand 50th Anniversary Volume: 2 (Series On Stability, Vibration And Control Of Systems, Series B) - Hardcover

Hardcover

ISBN 10: 9810229828 ISBN 13: 9789810229825

Publisher: World Scientific Publishing Co Pte Ltd, 1997

Synopsis

This book is a collection of papers on the subject of nonlinear dynamics and its applications written by experts in this field. It offers the reader a sampling of exciting research areas in this fast-growing field. The topics covered include chaos, tools to analyze motions, fractal boundaries, dynamics of the Fitzhugh-Nagumo equation, structural control, separation of contaminations from signal of interest, parametric excitation, stochastic bifurcation, mode localization in repetitive structures, Toda lattice, transition from soliton to chaotic motion, nonlinear normal modes, noise perturbations of nonlinear dynamical systems, and phase locking of coupled limit cycle oscillators. Mathematical methods include Lie transforms, Monte Carlo simulations, stochastic calculus, perturbation methods and proper orthogonal decomposition. Applications include gyrodynamics, tether connected satellites, shell buckling, nonlinear circuits, volume oscillations of a large lake, systems with stick-slip friction, imperfect or disordered structures, overturning of rigid blocks, central pattern generators, flow induced oscillations, shape control and vibration suppression of elastic structures.All of these diverse contributions have a common thread: the world of nonlinear behavior. Although linear dynamics is an invaluable tool, there are many problems where nonlinear effects are essential. Some examples include bifurcation of solutions, stability of motion, the effects of large displacements, and subharmonic resonance. This book shows how nonlinear dynamics is currently being utilized and investigated. It will be of interest to engineers, applied mathematicians and physicists.

About this title

Synopsis

Rapid developments in system dynamics and control, areas closely related to many other topics in applied mathematics, call for a comprehensive presentation of current topics. This text, the second of two volumes, contains ten thematically organized research or pedagogical articles addressing key topics in applied dynamics. The material should be of interest to a general scientific and engineering readership, and is also mathematically precise enough to be a useful reference for research specialists in mechanics and control nonlinear dynamics, and in applied mathematics and physics.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 1997
• Language: English
• ISBN 10: 9810229828
• ISBN 13: 9789810229825
• Binding: Hardcover
• Number of pages: 248
• Editor: Guran Ardeshir