Nonlinear Dynamical Systems in Engineering Some Approximate Approaches /

• Main Authors: Marinca, Vasile (Author), Herisanu, Nicolae (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
• Subjects: Engineering.; Computer mathematics.; Statistical physics.; Complexity, Computational.; Complexity.; Computational Mathematics and Numerical Analysis.; Nonlinear Dynamics.

This book  presents and extends different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called “base functions”. These are absolutely necess...

Table of Contents:

• Introduction
• Perturbation method (Lindstedt-Poincaré)
• The method of harmonic balance
• The method of Krylov and Bogolyubov
• The method of multiple scales
• The optimal homotopy asymptotic method
• The optimal homotopy perturbation method
• The optimal variational iteration method
• Optimal parametric iteration method.