Evaluation of the Intermittency Statistical Properties Using the Perron–Frobenius Operator

2016 ◽  
pp. 163-192
Author(s):  
Sergio Elaskar ◽  
Ezequiel del Río
Keyword(s):  
Statistical Properties ◽  
Frobenius Operator

scholarly journals Calculation of the Statistical Properties in Intermittency Using the Natural Invariant Density

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 935
Author(s):  
Sergio Elaskar ◽  
Ezequiel del Río ◽  
Denis Lorenzón
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Classical Theory ◽  
Numerical Data ◽  
Statistical Properties ◽  
Invariant Density ◽  
Frobenius Operator

We use the natural invariant density of the map and the Perron–Frobenius operator to analytically evaluate the statistical properties for chaotic intermittency. This study can be understood as an improvement of the previous ones because it does not introduce assumptions about the reinjection probability density function in the laminar interval or the map density at pre-reinjection points. To validate the new theoretical equations, we study a symmetric map and a non-symmetric one. The cusp map has symmetry about x=0, but the Manneville map has no symmetry. We carry out several comparisons between the theoretical equations here presented, the M function methodology, the classical theory of intermittency, and numerical data. The new theoretical equations show more accuracy than those calculated with other techniques.

Evaluation of the statistical properties for type-II intermittency using the Perron–Frobenius operator

2016 ◽  
Vol 86 (2) ◽  
pp. 1107-1116 ◽  
Author(s):  
Sergio Elaskar ◽  
Ezequiel del Río ◽  
Eduardo Zapico
Keyword(s):  
Statistical Properties ◽  
Type Ii ◽  
Frobenius Operator

Statistical properties of type I intermittency

1982 ◽  
Vol 43 (4) ◽  
pp. 585-589 ◽  
Author(s):  
M. N. Bussac ◽  
C. Meunier
Keyword(s):  
Statistical Properties ◽  
Type I

Correlation in the heart rate data

1998 ◽  
Vol 2 ◽  
pp. 141-148
Author(s):  
J. Ulbikas ◽  
A. Čenys ◽  
D. Žemaitytė ◽  
G. Varoneckas
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Data ◽  
Heart Rate ◽  
Time Series ◽  
Cardiovascular Function ◽  
Statistical Properties ◽  
Rate Data ◽  
Heart Rate Data ◽  
Dynamical Nature ◽  
Analysis Of Time Series

Variety of methods of nonlinear dynamics have been used for possibility of an analysis of time series in experimental physiology. Dynamical nature of experimental data was checked using specific methods. Statistical properties of the heart rate have been investigated. Correlation between of cardiovascular function and statistical properties of both, heart rate and stroke volume, have been analyzed. Possibility to use a data from correlations in heart rate for monitoring of cardiovascular function was discussed.

Some Statistical Properties of Exponentiated Weighted Weibull Distribution

2014 ◽  
Vol 2014 (2) ◽  
pp. 1-11
Author(s):  
Nofiu BAMUS ◽  
◽  
Adebayo BAMIDURO ◽  
Keyword(s):  
Weibull Distribution ◽  
Statistical Properties

Some Statistical Properties of Functional Norms of Persistence Topological Landscapes

2020 ◽  
Author(s):  
Lloyd Leaverton ◽  
Yuri A. Katz ◽  
Josep Vives
Keyword(s):  
Statistical Properties
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