Nonlinear Dynamical Systems in Engineering [electronic resource]: Some Approximate Approaches / by Vasile Marinca, Nicolae Herisanu.

Por: Marinca, Vasile [author.]Colaborador(es): Herisanu, Nicolae | [author.] | SpringerLink (Online service)Tipo de material: TextoTextoDescripción: XI, 395p. 139 illus. online resourceISBN: 9783642227356 99783642227356Tema(s): Engineering | Engineering | COMPUTATIONAL MATHEMATICS AND NUMERICAL ANALYSIS | COMPLEXITY | PHYSICS | NONLINEAR DYNAMICS | COMPUTER SCIENCE -- MATHEMATICSClasificación CDD: 620 Recursos en línea: ir a documento
Contenidos:
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.
Resumen: 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 necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from various fields of engineering.
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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.

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 necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from various fields of engineering.

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