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|a 9783642227356
|9 978-3-642-22735-6
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|a 10.1007/978-3-642-22735-6
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|a Marinca, Vasile.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Nonlinear Dynamical Systems in Engineering
|h [electronic resource] :
|b Some Approximate Approaches /
|c by Vasile Marinca, Nicolae Herisanu.
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|a 1st ed. 2011.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2011.
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|a XII, 396 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a 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.
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|a 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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|a Dynamics.
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|a Nonlinear theories.
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|a Mathematics-Data processing.
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|a Nonlinear Optics.
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|a Applied Dynamical Systems.
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|a Computational Mathematics and Numerical Analysis.
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650 |
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|a Nonlinear Optics.
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|a Herisanu, Nicolae.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783642434105
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|i Printed edition:
|z 9783642227363
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|i Printed edition:
|z 9783642227349
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|u https://doi.uam.elogim.com/10.1007/978-3-642-22735-6
|z Texto Completo
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|a ZDB-2-ENG
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912 |
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|a ZDB-2-SXE
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|a Engineering (SpringerNature-11647)
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950 |
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|a Engineering (R0) (SpringerNature-43712)
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