scholarly journals A Simple Model for the Generation of LRD Self-similar Traffic Using Piecewise Affine Chaotic One-dimensional Maps

2010 ◽  
Vol 19 (1) ◽  
Author(s):  
Ginno MILLAN ◽  
Héctor KASCHEL ◽  
Gastón LEFRANC
Keyword(s):  
Simple Model ◽  
One Dimensional ◽  
Piecewise Affine ◽  
Self Similar ◽  
One Dimensional Maps

scholarly journals On the generation of self-similar with long-range dependent traffic using piecewise affine chaotic one-dimensional maps (renewed version-2)

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Long Range ◽  
Hurst Exponent ◽  
Long Range Dependence ◽  
One Dimensional ◽  
Temporal Series ◽  
Qualitative And Quantitative ◽  
Piecewise Affine ◽  
Proposed Model ◽  
Self Similar ◽  
One Dimensional Maps

A qualitative and quantitative extension of the chaotic models used to generate self-similar traffic with long-range dependence (LRD) is presented by means of the formulation of a model that considers the use of piecewise affine one-dimensional maps. Based on the disaggregation of the temporal series generated, a valid explanation of the behavior of the values of Hurst exponent is proposed and the feasibility of their control from the parameters of the proposed model is shown.

scholarly journals On the generation of self-similar with long-range dependent traffic using piecewise affine chaotic one-dimensional maps (renewed version)

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Long Range ◽  
Hurst Exponent ◽  
Long Range Dependence ◽  
One Dimensional ◽  
Temporal Series ◽  
Qualitative And Quantitative ◽  
Piecewise Affine ◽  
Proposed Model ◽  
Self Similar ◽  
One Dimensional Maps

A qualitative and quantitative extension of the chaotic models used to generate self-similar traffic with long-range dependence (LRD) is presented by means of the formulation of a model that considers the use of piecewise affine one-dimensional maps. Based on the disaggregation of the temporal series generated, a valid explanation of the behavior of the values of Hurst exponent is proposed and the feasibility of their control from the parameters of the proposed model is shown.

scholarly journals On the generation of self-similar with long-range dependent traffic using piecewise affine chaotic one-dimensional maps (extended version)

2021 ◽  
Author(s):  
Ginno Millán
Keyword(s):  
Long Range ◽  
Hurst Exponent ◽  
Long Range Dependence ◽  
Extended Version ◽  
One Dimensional ◽  
Qualitative And Quantitative ◽  
Piecewise Affine ◽  
Proposed Model ◽  
Self Similar ◽  
One Dimensional Maps

A qualitative and quantitative extension of the chaotic models used to generate self-similar traffic with long-range dependence (LRD) is presented by means of the formulation of a model that considers the use of piecewise affine one-dimensional maps. Based on the disaggregation of the temporal series generated, a valid explanation of the behavior of the values of Hurst exponent is proposed and the feasibility of their control from the parameters of the proposed model is shown.

scholarly journals On the finiteness of attractors for one-dimensional maps with discontinuities

2021 ◽  
Vol 389 ◽  
pp. 107891
Author(s):  
P. Brandão ◽  
J. Palis ◽  
V. Pinheiro
Keyword(s):  
One Dimensional ◽  
One Dimensional Maps

An approach to generalized one-dimensional self-similar elasticity

2012 ◽  
Vol 61 ◽  
pp. 103-111 ◽  
Author(s):  
Thomas M. Michelitsch ◽  
Gérard A. Maugin ◽  
Mujibur Rahman ◽  
Shahram Derogar ◽  
Andrzej F. Nowakowski ◽  
...  
Keyword(s):  
One Dimensional ◽  
Self Similar

A simple model of a one-dimensional, randomly rough, non-Gaussian surface

2016 ◽  
Author(s):  
E. R. Méndez ◽  
G. D. Jiménez ◽  
A. A. Maradudin
Keyword(s):  
Simple Model ◽  
One Dimensional ◽  
Non Gaussian ◽  
Gaussian Surface

scholarly journals Weighted kneading theory of one-dimensional maps with a hole

2004 ◽  
Vol 2004 (38) ◽  
pp. 2019-2038 ◽  
Author(s):  
J. Leonel Rocha ◽  
J. Sousa Ramos
Keyword(s):  
Hausdorff Dimension ◽  
Power Series ◽  
Formal Power Series ◽  
Topological Entropy ◽  
Escape Rate ◽  
One Dimensional ◽  
One Dimensional Maps ◽  
Formal Power ◽  
Kneading Theory

The purpose of this paper is to present a weighted kneading theory for one-dimensional maps with a hole. We consider extensions of the kneading theory of Milnor and Thurston to expanding discontinuous maps with a hole and introduce weights in the formal power series. This method allows us to derive techniques to compute explicitly the topological entropy, the Hausdorff dimension, and the escape rate.

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