Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods

This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of truly nonlinear (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined...

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Detalles Bibliográficos
Autor principal: Mickens, Ronald E
Lenguaje:eng
Publicado: World Scientific 2010
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1413794
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author Mickens, Ronald E
author_facet Mickens, Ronald E
author_sort Mickens, Ronald E
collection CERN
description This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of truly nonlinear (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a dire
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
publisher World Scientific
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spelling cern-14137942021-04-22T00:41:39Zhttp://cds.cern.ch/record/1413794engMickens, Ronald ETruly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging MethodsMathematical Physics and MathematicsThis unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of truly nonlinear (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direWorld Scientificoai:cds.cern.ch:14137942010
spellingShingle Mathematical Physics and Mathematics
Mickens, Ronald E
Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
title Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
title_full Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
title_fullStr Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
title_full_unstemmed Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
title_short Truly Nonlinear Oscillations: Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
title_sort truly nonlinear oscillations: harmonic balance, parameter expansions, iteration, and averaging methods
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1413794
work_keys_str_mv AT mickensronalde trulynonlinearoscillationsharmonicbalanceparameterexpansionsiterationandaveragingmethods

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