A generic, hard transition to chaos

López-Rebollal, Óscar and Sanmartín Losada, Juan Ramón (1995). A generic, hard transition to chaos. "Physica D", v. 89 ; pp. 204-221. ISSN 0167-2789.


Title: A generic, hard transition to chaos
  • López-Rebollal, Óscar
  • Sanmartín Losada, Juan Ramón
Item Type: Article
Título de Revista/Publicación: Physica D
Date: 1995
ISSN: 0167-2789
Volume: 89
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

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A hard-in-amplitude transition to chaos in a class of dissipative flows of broad applicability is presented. For positive values of a parameter F, no matter how small, a fully developed chaotic attractor exists within some domain of additional parameters, whereas no chaotic behavior exists for F < 0. As F is made positive, an unstable fixed point reaches an invariant plane to enter a phase half-space of physical solutions; the ghosts of a line of fixed points and a rich heteroclinic structure existing at F = 0 make the limits t --* +oc, F ~ +0 non-commuting, and allow an exact description of the chaotic flow. The formal structure of flows that exhibit the transition is determined. A subclass of such flows (coupled oscillators in near-resonance at any 2 : q frequency ratio, with F representing linear excitation of the first oscillator) is fully analysed

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Item ID: 21583
DC Identifier: https://oa.upm.es/21583/
OAI Identifier: oai:oa.upm.es:21583
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 12 Nov 2013 07:24
Last Modified: 26 Oct 2016 09:22
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