Multiple parameter stability theory and its applications : bifurcations, catastrophes, instabilities ... / Koncay Huseyin.

Format:

Book

Author/Creator:

Huseyin, D. (Koncay), 1936-

Series:

Oxford engineering science series ; 18.

Oxford engineering science series ; 18

Language:

English

Subjects (All):

System analysis.

Stability.

Physical Description:

x, 283 pages : illustrations ; 24 cm.

Place of Publication:

Oxford [Oxfordshire] : Clarendon Press ; New York : Oxford University Press, 1986.

Summary:

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.

Notes:

Includes index.

Bibliography: pages 270-278.

ISBN:

0198561709 :

OCLC:

12662866