Comment on "Intermittency in chaotic rotations".

نویسندگان

  • A Pikovsky
  • M Rosenblum
چکیده

Lai et al. [Phys. Rev. E 62, R29 (2000)] claim that the angular velocity of the phase point moving along the chaotic trajectory in a properly chosen projection (the instantaneous frequency) is intermittent. Using the same examples, namely the Rössler and the Lorenz systems, we show the absence of intermittency in the dynamics of the instantaneous frequency. This is confirmed by demonstrating that the phase dynamics exhibits normal diffusion. We argue that the nonintermittent behavior is generic.

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Reply to ‘ ‘ Comment on ‘ Intermittency in chaotic rotations ’ ’ ’

Intermittency and chaotic rotations are interesting recent topics in nonlinear dynamics, and we are pleased that our contribution @2# is of sufficient interest to have generated the preceding Comment by Pikovsky and Rosenblum @1#. We welcome the opportunity to respond and to clarify our work. The main point of our original paper is that a chaotic rotation typically exhibits an intermittent beha...

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

دوره 64 5 Pt 2  شماره 

صفحات  -

تاریخ انتشار 2001