Abstract
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.
Original language | English |
---|---|
Article number | 2138 |
Number of pages | 20 |
Journal | Symmetry |
Volume | 15 |
Issue number | 12 |
Early online date | 1 Dec 2023 |
DOIs | |
Publication status | Published - 1 Dec 2023 |
Event | 12th International Conference on Modern Circuits and Systems Technologies (MOCAST) - Athens, Greece Duration: 28 Jun 2023 → 30 Jun 2023 Conference number: 12th https://www.eledia.org/eledia-unitn/news/12th-international-conference-on-modern-circuits-and-systems-technologies-mocast-on-electronics-and-communications/ |
Bibliographical note
This paper is an extended version of our paper published in International Conference on Modern Circuits and Systems Technologies (MOCAST) on Electronics and Communications, Athens, Greece, 28–30 June 2023.Publisher Copyright: © 2023 by the authors.
Data Availability Statement
Data are contained within the articleKeywords
- chaos
- distribution
- mean value
- path planning
- piecewise map
- randomness
- surveillance
- UAV