Fine structure in the scaling of type-I intermittency bifurcations

Cavalcante, Hugo L. D. de S.; Leite, J. R. Rios

doi:10.1016/j.physa.2004.04.094

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Fine Structure In Intermittency2

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“…Refs. [101,102] describe a fine structure in intermittency. These papers study numerically type-I intermittency.…”

Section: Fine Structure In Intermittencymentioning

confidence: 99%

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Review of Chaotic Intermittency

Elaskar

Río

2023

Symmetry

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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 a control parameter increases, the number of chaotic phases also increases. Therefore, intermittency presents a continuous route from regular behavior to chaotic motion. In this paper, a review of different types of intermittency is carried out. In addition, the description of two recent formulations to evaluate the reinjection processes is developed. The new theoretical formulations have allowed us to explain several tests previously called pathological. The theoretical background also includes the noise effects in the reinjection mechanism.

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“…Refs. [101,102] describe a fine structure in intermittency. These papers study numerically type-I intermittency.…”

Section: Fine Structure In Intermittencymentioning

confidence: 99%

“…The Lyapunov exponent, the average laminar length, and the mean value of the dynamical variable, x, for several values of the control parameter ε, are calculated. The map analyzed in [101] is:…”

Section: Fine Structure In Intermittencymentioning

confidence: 99%