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Bifurcations for skew tent maps II : Renormalization :

open access: yesBifurcations for skew tent maps II : Renormalization :
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Periodic Points of Skew Tent Maps

Journal of Dynamical and Control Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kai Chen, Yong-Guo Shi, Bing Xu
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Topological Conjugacy Between Skew Tent Maps

International Journal of Bifurcation and Chaos, 2015
This paper investigates the conjugacy of any two skew tent maps. An explicit formula is given for the conjugacy. It is proved that the conjugacy is singular, Hölder continuous and not differentiable as well as its inverse. We calculate the arc-length of the conjugacy curve and the area under the conjugacy curve.
Shi, Yong-Guo, Wang, Zhihua
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Generalized Smooth Transition Map Between Tent and Logistic Maps

International Journal of Bifurcation and Chaos, 2017
There is a continuous demand on novel chaotic generators to be employed in various modeling and pseudo-random number generation applications. This paper proposes a new chaotic map which is a general form for one-dimensional discrete-time maps employing the power function with the tent and logistic maps as special cases.
Sayed, Wafaa S.   +3 more
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ON THE SIGNIFICANCE OF THE TENT MAP

International Journal of Bifurcation and Chaos, 2003
Discrete time dynamical systems generated by the iteration of nonlinear maps provide simple and interesting examples of chaotic systems. But what is the physical principle behind the emergence of these maps? In this note we present an approach to this problem by considering a class, Y, of 2–1 chaotic maps on [0, 1] that are symmetric and have ...
Góra, Paweł, Boyarsky, Abraham
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Piecewise skew tent maps and piecewise cubic maps

Proceedings of 2011 International Conference on Computer Science and Network Technology, 2011
Output sequences of both skew tent map and cubic map were not random enough to pass NIST tests. That would influence their applications in the field of communications and information security. To overcome the shortcomings, piecewise skew tent maps and piecewise cubic maps are proposed.
null Jinmei Liu, null Wei Zhang
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The digital tent map and the trapezoidal map

Chaos, Solitons & Fractals, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borcherds, P. H., McCauley, G. P.
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Image encryption using generalized tent map

2013 IEEE 20th International Conference on Electronics, Circuits, and Systems (ICECS), 2013
This paper introduces two generalized tent maps where the conventional map is a special case. Although the output of the conventional tent map shows different responses, it has only one control parameter that limits its behavior and applications. The proposed generalized tent maps increase the degrees of freedom and produce a versatile response that ...
Ahmed G. Radwan, Salwa K. Abd-El-Hafiz
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PRNG Based on Skew Tent Map

Arabian Journal for Science and Engineering, 2018
Internet of things (IoT) devices should be designed taking security requirements into consideration, so that they can be used securely in open environments. Designing secure IoT devices requires the ability to design fast and secure cryptography modules.
L. Palacios-Luengas   +4 more
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