An averaging method applied to a duffing equation

Autor:	Maria Teresa Villacran, A. Luisa Elgueta, Melitta Fiebig-Wittmaack
Rok vydání:	1996
Předmět:	Nonlinear Sciences::Chaotic Dynamics Forcing (recursion theory) Applied Mathematics Mathematical analysis Duffing equation Nonlinear Sciences::Pattern Formation and Solitons Analysis Bifurcation Method of averaging Term (time) Mathematics
Zdroj:	Applicable Analysis. 60:359-367
ISSN:	1563-504X 0003-6811
DOI:	10.1080/00036819608840438
Popis:	We approximate a Duffing equation by an averaged system. We solve the system explicitely and draw bifurcation diagrams in dependence of the forcing term. We discuss the goodness of the averaging method, relative to the behavior of the solutions in dependence of involved parameters, by comparing with results obtained in [6,10] for the original Duffing equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a2949668601c5e0206403c1aff385802 https://doi.org/10.1080/00036819608840438 Zobrazit plný text záznamu