Intermittency in chaotic rotations
نویسندگان
چکیده
We examine the rotational dynamics associated with bounded chaotic flows, such as those on chaotic attractors, and find that the dynamics typically exhibits on-off intermittency. In particular, a properly defined chaotic rotation tends to follow, approximately, the phase-space rotation of a harmonic oscillator with occasional bursts away from this nearly uniform rotation. The intermittent behavior is identified in several well studied chaotic systems, and an argument is provided for the generality of this behavior.
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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...
متن کاملComment on "Intermittency in chaotic rotations".
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 th...
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Abstract—In this study, a complex behavior in two coupled chaotic circuits related with intermittency is investigated. When each chaotic circuit generates intermittency chaos near the three-periodic window, three different synchronization states appear and disappear in a chaotic manner. This complex behavior is modeled by a first-order Markov chain with four states. Further, the phenomenon is c...
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عنوان ژورنال:
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
دوره 62 1 Pt A شماره
صفحات -
تاریخ انتشار 2000