Vibrational resonance: a study with high-order word-series averaging

Autor:	Jesús María Sanz-Serna, Ander Murua
Rok vydání:	2016
Předmět:	General Computer Science Applied Mathematics Modeling and Simulation 010102 general mathematics Scalar (mathematics) Applied mathematics Basis function Vibrational resonance 010103 numerical & computational mathematics 0101 mathematics High order 01 natural sciences Engineering (miscellaneous)
Zdroj:	UVaDOC. Repositorio Documental de la Universidad de Valladolid instname
ISSN:	2444-8656
DOI:	10.21042/amns.2016.1.00018
Popis:	We study a model problem describing vibrational resonance by means of a high-order averaging technique based on so-called word series. With the technique applied here, the tasks of constructing the averaged system and the associated change of variables are divided into two parts. It is first necessary to build recursively a set of so-called word basis functions and, after that, all the required manipulations involve only scalar coefficients that are computed by means of simple recursions. As distinct from the situation with other approaches, with word-series, high-order averaged systems may be derived without having to compute the associated change of variables. In the system considered here, the construction of high-order averaged systems makes it possible to obtain very precise approximations to the true dynamics. Ministerio de Economía, Industria y Competitividad, proyectos MTM2013-46553-C3-1-P y MTM2013-46553-C3-2-P
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ce0d564f7422bf8b8f2c4042a3d4b53 https://doi.org/10.21042/amns.2016.1.00018 Zobrazit plný text záznamu