Statistical stability for Barge-Martin attractors derived from tent maps

Philip Boyland;  ; André de Carvalho; Toby Hall;  ;

doi:10.3934/dcds.2020154

Statistical stability for Barge-Martin attractors derived from tent maps

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020154 ◽

2020 ◽

Vol 40 (5) ◽

pp. 2903-2915

Author(s):

Philip Boyland ◽

◽

André de Carvalho ◽

Toby Hall ◽

◽

...

Keyword(s):

Statistical Stability ◽

Tent Maps

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Statistical Significance or Statistical Stability--An Improved Terminology.

American Psychologist ◽

10.1037/h0058527 ◽

1954 ◽

Vol 9 (4) ◽

pp. 158-158

Author(s):

Horace B. English

Keyword(s):

Statistical Significance ◽

Statistical Stability

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Experimental Investigation of the Statistical Stability of Meteorological Data

The Statistical Stability Phenomenon - Mathematical Engineering ◽

10.1007/978-3-319-43585-5_6 ◽

2016 ◽

pp. 91-102

Author(s):

Igor I. Gorban

Keyword(s):

Experimental Investigation ◽

Meteorological Data ◽

Statistical Stability

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The Physical Phenomenon of Statistical Stability

Randomness and Hyper-randomness - Mathematical Engineering ◽

10.1007/978-3-319-60780-1_1 ◽

2017 ◽

pp. 3-23

Author(s):

Igor I. Gorban

Keyword(s):

Physical Phenomenon ◽

Statistical Stability

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The trajectory of the turning point is dense for almost all tent maps

Ergodic Theory and Dynamical Systems ◽

10.1017/s0143385700009962 ◽

1996 ◽

Vol 16 (6) ◽

pp. 1173-1183 ◽

Cited By ~ 10

Author(s):

Karen Brucks ◽

Michal Misiurewicz

Keyword(s):

Lebesgue Measure ◽

Turning Point ◽

Tent Map ◽

Tent Maps ◽

Almost All

AbstractWe prove that for almost every (with respect to the Lebesgue measure) a ∈ [√2, 2], the forward trajectory of the turning point of the tent map fa with slope a is dense in the interval of transitivity of fa.

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Inverse Limits on [0,1] Using Tent Maps and Certain Other Piecewise Linear Bonding Maps

Continua ◽

10.1201/9781003072379-19 ◽

2020 ◽

pp. 253-258

Author(s):

W. T. Ingram

Keyword(s):

Piecewise Linear ◽

Inverse Limits ◽

Tent Maps

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Methodology and Results from Investigation of the Statistical Stability of Processes

Randomness and Hyper-randomness - Mathematical Engineering ◽

10.1007/978-3-319-60780-1_6 ◽

2017 ◽

pp. 91-112

Author(s):

Igor I. Gorban

Keyword(s):

Statistical Stability

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Speech encryption using generalized modified chaotic logistic and tent maps

2018 IEEE International Conference on Industrial Technology (ICIT) ◽

10.1109/icit.2018.8352407 ◽

2018 ◽

Cited By ~ 2

Author(s):

Wafaa S. Sayed ◽

Mohammed F. Tolba ◽

Ahmed G. Radwan ◽

Salwa K. Abd-El-Hafiz

Keyword(s):

Tent Maps ◽

Speech Encryption

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Symmetric Tent Maps

Topics from One-Dimensional Dynamics ◽

10.1017/cbo9780511617171.011 ◽

2004 ◽

pp. 147-177

Keyword(s):

Tent Maps

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Dependence of the Statistical Stability of a Stochastic Process on Its Spectrum-Correlation Characteristics

The Statistical Stability Phenomenon - Mathematical Engineering ◽

10.1007/978-3-319-43585-5_4 ◽

2016 ◽

pp. 55-74

Author(s):

Igor I. Gorban

Keyword(s):

Stochastic Process ◽

Statistical Stability ◽

Spectrum Correlation

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Statistical Stability of Clipped Photon Correlations in the Self-Scaling Limit

Springer Series in Optical Sciences - Photon Correlation Techniques in Fluid Mechanics ◽

10.1007/978-3-540-39493-8_23 ◽

1983 ◽

pp. 242-255 ◽

Cited By ~ 1

Author(s):

Ronald J. Adrian

Keyword(s):

Scaling Limit ◽

The Self ◽

Statistical Stability

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