2021-11-27T00:42:12Z
https://oa.upm.es/cgi/oai2
oai:oa.upm.es:21681
2016-04-21T12:24:27Z
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Non-periodic driving of coupled oscillators:a spherical swing
Sanmartín Losada, Juan Ramón
López-Rebollal, Óscar
Paola, N. de
Physics
Aeronautics
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.
E.T.S.I. Aeronáuticos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
1993
info:eu-repo/semantics/article
Article
Physica D, ISSN 0167-2789, 1993, Vol. 69
NonPeerReviewed
application/pdf
eng
info:eu-repo/semantics/openAccess
http://oa.upm.es/21681/