Review of Chaotic Intermittency
نویسندگان
چکیده
Chaotic intermittency is characterized by a signal that alternates aleatory between long regular (pseudo-laminar) phases and irregular bursts (pseudo-turbulent or chaotic phases). This phenomenon has been found in physics, chemistry, engineering, medicine, neuroscience, economy, etc. As control parameter increases, the number of also increases. Therefore, presents continuous route from behavior to motion. In this paper, review different types carried out. addition, description two recent formulations evaluate reinjection processes developed. The new theoretical have allowed us explain several tests previously called pathological. background includes noise effects mechanism.
منابع مشابه
Intermittency in chaotic rotations
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 behav...
متن کاملChaotic intermittency of patterns in symmetric systems
We examine some properties of attractors for symmetric dynamical systems that show what we refer to as`chaotic intermittency'. These are attractors that contain points with several diierent symmetry types, with the consequence that attracted trajectories come arbitrarily close to possessing a variety of diierent symmetries. Such attractors include heteroclinic attractors, on-oo and in-out inter...
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...
متن کاملDependence of intermittency scaling on threshold in chaotic systems.
Numerical and experimental investigations of intermittency in chaotic systems often lead to claims of universal classes based on the scaling of the average length of the laminar phase with parameter variation. We demonstrate that the scaling in general depends on the choice of the threshold used to define a proper laminar region in the phase space. For sufficiently large values of the threshold...
متن کاملReply 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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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15061195