Hyperbolic chaos of standing wave patterns generated parametrically by a modulated pump source.

نویسندگان

  • Olga B Isaeva
  • Alexey S Kuznetsov
  • Sergey P Kuznetsov
چکیده

We outline a possibility of hyperbolic chaotic dynamics associated with the expanding circle map for spatial phases of parametrically excited standing wave patterns. The model system is governed by a one-dimensional wave equation with nonlinear dissipation. The phenomenon arises due to the pump modulation providing the alternating excitation of modes with the ratio of characteristic scales 1:3.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 87 4  شماره 

صفحات  -

تاریخ انتشار 2013