Title:
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Nonlinear oscillatory mixing in the generalized Landau scenario
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Author:
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Herrero Simon, Ramon; Farjas Silva, Jordi; Pi Vila, Francesc; Orriols Tubella, Gaspar
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Física; Universitat Politècnica de Catalunya. DONLL - Dinàmica no Lineal, Òptica no Lineal i Làsers |
Abstract:
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We present a set of phase-space portraits illustrating the extraordinary oscillatory possibilities of the dynamical systems through the so-called generalized Landau scenario. In its simplest form the scenario develops in N dimensions around a saddle-node pair of fixed points experiencing successive Hopf bifurcations up to exhausting their stable manifolds and generating N-1 different limit cycles. The oscillation modes associated with these cycles extend over a wide phase-space region by mixing ones within the others and by affecting both the transient trajectories and the periodic orbits themselves. A mathematical theory covering the mode-mixing mechanisms is lacking, and our aim is to provide an overview of their main qualitative features in order to stimulate research on it. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Física -Nonlinear systems -Dynamical systems -High dimensional systems -Multiple time scale dynamics -Nonlinear dynamics -Sistemes no lineals |
Rights:
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Document type:
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Article - Submitted version Article |
Published by:
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American Institute of Physics (AIP)
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