Full text
Preview |
PDF
- Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (652kB) | Preview |
Sanmartín Losada, Juan Ramón, López-Rebollal, Óscar and Paola, N. de (1993). Non-periodic driving of coupled oscillators:a spherical swing. "Physica D", v. 69 ; pp. 148-162. ISSN 0167-2789.
Title: | Non-periodic driving of coupled oscillators:a spherical swing |
---|---|
Author/s: |
|
Item Type: | Article |
Título de Revista/Publicación: | Physica D |
Date: | 1993 |
ISSN: | 0167-2789 |
Volume: | 69 |
Subjects: | |
Faculty: | E.T.S.I. Aeronáuticos (UPM) |
Department: | Física Aplicada a la Ingeniería Aeronáutica [hasta 2014] |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Preview |
PDF
- Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (652kB) | Preview |
Nonlinearly coupled, damped oscillators at 1:1 frequency ratio, one oscillator being driven coherently for efficient excitation, are exemplified by a spherical swing with some phase-mismatch between drive and response. For certain damping range, excitation is found to succeed if it lags behind, but to produce a chaotic attractor if it leads the response. Although a period-doubhng sequence, for damping increasing, leads to the attractor, this is actually born as a hard (as regards amplitude) bifurcation at a zero growth-rate parametric line; as damping decreases, an unstable fixed point crosses an invariant plane to enter as saddle-focus a phase-space domain of physical solutions. A second hard bifurcation occurs at the zero mismatch line, the saddle-focus leaving that domain. Times on the attractor diverge when approaching either fine, leading to exactly one-dimensional and noninvertible limit maps, which are analytically determined.
Item ID: | 21681 |
---|---|
DC Identifier: | https://oa.upm.es/21681/ |
OAI Identifier: | oai:oa.upm.es:21681 |
Deposited by: | Biblioteca ETSI Aeronauticos |
Deposited on: | 21 Nov 2013 14:58 |
Last Modified: | 20 Feb 2023 07:23 |