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Títol:
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Nonlinear oscillatory mixing in the generalized Landau scenario
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Autor/a:
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Herrero, Ramon; Farjas Silva, Jordi; Pi, Francesc; Orriols, Gaspar
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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 |
Drets:
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Tots els drets reservats
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Tipus de document:
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Article Article - Versió publicada peer-reviewed |
Publicat per:
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American Physical Society
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