Non-periodic driving of coupled oscillators:a spherical swing

Sanmartín Losada, Juan Ramón and 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.

Description

Title: Non-periodic driving of coupled oscillators:a spherical swing
Author/s:
  • Sanmartín Losada, Juan Ramón
  • López-Rebollal, Óscar
  • Paola, N. de
Item Type: Article
Título de Revista/Publicación: Physica D
Date: 1993
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

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (652kB) | Preview

Abstract

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.

More information

Item ID: 21681
DC Identifier: http://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: 21 Apr 2016 12:24
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM