Research on Pseudorandom Number Generator Based on Several New Types of Piecewise Chaotic Maps

Zang, Hongyan; Yuan, Yue; Wei, Xinyuan

doi:10.1155/2021/1375346

Cited by 11 publications

(3 citation statements)

References 25 publications

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“…For this family, simple rules can be followed for appropriately tuning the control parameters in order to affect the statistical mean of the resulting time series. Piecewise maps are chosen here, as they are very prominent in applications [3][4][5][18][19][20][21][22][23], and their shape is easy to control. They can also yield chaotic behavior for a wide range of parameter values.…”

Section: Design Of New Chaotic Mapsmentioning

confidence: 99%

“…Five maps are proposed and studied based on this general model. One map is a generalization of the skewed tent map [20], two are modifications of the maps proposed in [18], and the last two are combinations of the previous ones.…”

Section: Design Of New Chaotic Mapsmentioning

confidence: 99%

“…In [18], various piecewise chaotic maps are proposed. Here, one such map is chosen, and a generalized version is proposed as:…”

Section: Cosine Skewed Piecewise Mapmentioning

confidence: 99%

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Chaotic Maps with Tunable Mean Value—Application to a UAV Surveillance Mission

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Chaos-related applications are abundant in the literature, and span the fields of secure communications, encryption, optimization, and surveillance. Such applications take advantage of the unpredictability of chaotic systems as an alternative to using true random processes. The chaotic systems used, though, must showcase the statistical characteristics suitable for each application. This may often be hard to achieve, as the design of maps with tunable statistical properties is not a trivial task. Motivated by this, the present study explores the task of constructing maps, where the statistical measures like the mean value can be appropriately controlled by tuning the map’s parameters. For this, a family of piecewise maps is considered, with three control parameters that affect the endpoint interpolations. Numerous examples are given, and the maps are studied through a collection of numerical simulations. The maps can indeed achieve a range of values for their statistical mean. Such maps may find extensive use in relevant chaos-based applications. To showcase this, the problem of chaotic path surveillance is considered as a potential application of the designed maps. Here, an autonomous agent follows a predefined trajectory but maneuvers around it in order to imbue unpredictability to potential hostile observers. The trajectory inherits the randomness of the chaotic map used as a seed, which results in chaotic motion patterns. Simulations are performed for the designed strategy.

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