Multiple Parameter Stability Theory and its Applications: Bifurcations, Catastrophes, Instabilities... (Oxford Engineering Science Series)

By Koncay Huseyin

Written from an original, engineering point of view, this volume presents a general nonlinear theory concerning the stability, instability, bifurcation, and oscillatory behavior of autonomous systems. Huseyin stresses analytical procedures which lead to construction of asymptotic solutions. He analyzes various bifurcation phenomena and the associated imperfection-sensitivities via the multiple-parameter perturbation technique, a method which generates distinct forms of equilibrium surfaces linked to "elementary catastrophes." In addition, he introduces an intrinsic harmonic balancing technique to analyze the dynamic bifurcations, resulting in a unified treatment of both static and dynamic bifurcation phenomena within an autonomous framework. Throughout the work, the presentation is conceptually simple and practical.

• Format: Hardcover
• Language: English
• ISBN: 0198561709
• ISBN13: 9780198561705
• Release Date: October 1986
• Publisher: Oxford University Press
• Length: 300 Pages
• Weight: 1.36 lbs.
• Dimensions: 9.5" x 0.9" x 6.4"