A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.
Table of Content
Equilibrium Solutions.
Periodic Solutions.
Quasiperiodic Solutions.
Chaos.
Numerical Methods.
Tools to Analyze Motions.
Control.
Bibliography.
Subject Index.
About the author
Ali H. Nayfeh is a University Distinguished Professor of Engineering Science and Mechanics at the Virginia Polytechnic Institute and State University, Blacksburg, Virginia. Professor Nayfeh is the Editor-in-Chief of the journal Nonlinear Dynamics and the Journal of Vibration and Control. He is the author of Perturbation Methods (Wiley, 1973), Nonlinear Oscillations (coauthored with Dean T. Mook; Wiley, 1979), Introduction to Perturbation techniques (Wiley, 1981), Problems in Perturbation (Wiley, 1985), and Method of Normal Forms (Wiley, 1993). Professor Nayfeh’s areas of interest include nonlinear vibrations and dynamics, wave propagation, ship and submarine motions, structural dynamics, acoustics, aerodynamic/dynamic/structure/control interactions, flight mechanics, and transition from laminar to turbulent flows.
Balakumar Balachandran is Assistant Professor of Mechanical Engineering at the University of Maryland, College Park, Maryland. His areas of interest include vibration and acoustics control, nonlinear dynamics, structural dynamics, and system identification.
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