RT Journal Article
T1 Vibrational resonance: a study with high-order word-series averaging
A1 Murua, A.
A1 Sanz Serna, Jesús María
AB 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.
PB Sciendo
SN 2444-8656
YR 2016
FD 2016-01
LK https://hdl.handle.net/10016/38989
UL https://hdl.handle.net/10016/38989
LA eng
NO We are thankful to M. A. F. Sanjuán for bringing this problem to our attention andcarefully reading the manuscript. A. Murua and J.M. Sanz-Serna have been supported by projects MTM2013-46553-C3-2-P and MTM2013-46553-C3-1-P from Ministerio de Economía y Comercio, Spain. Additionally A.Murua has been partially supported by the Basque Government (Consolidated Research Group IT649-13).
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RD 17 jul. 2024