Št. zadetkov: 15
Izvirni znanstveni članek
Oznake:
chaos;piecewise map;equilibrium;fixed point;hidden attractor;logistic map;tent map;chaotification;PRBG;encryption;pseudo-random bit generator;
This paper presents a new method of generating chaotic maps that do not have fixed points. The method uses an appropriate transformation of functions defined on the unit square in such a way that the newly created projection has no fixed points. In this way, countless new chaotic mappings can be cre ...
Leto:
2024
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
chaos;Renyi;modulo;chaotification;discrete map;pseudo-random bit generator;nonlinear system;
In this work, a chaotification technique is proposed that can be used to enhance the complexity of any one-dimensional map by adding the remainder operator to it. It is shown that by an appropriate parameter choice, the resulting map can achieve a higher Lyapunov exponent compared to its seed map, a ...
Leto:
2022
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Objavljeni povzetek znanstvenega prispevka na konferenci
Oznake:
chaos;nonlinear system;education;secondary education;higher education;innovative teaching;teaching;
The understanding of nonlinear dynamics requires a solid background on differential equations, calculus, and numerical analysis. This is why the teaching of nonlinear dynamics and chaos is integrated in the later years of most curriculums of University Departments in the natural sciences. With chaot ...
Leto:
2024
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Pregledni znanstveni članek
Oznake:
chaos;chaotification;dynamical system;nonlinear system;chaotic map;robust chaos;
This work provides a thorough review on the research topic of chaotification for discrete-time systems. Chaotification refers to the process of designing new chaotic maps, using existing maps from the literature as seed functions, with the goal of achieving a more complex behavior. This problem is o ...
Leto:
2025
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
chaos;discrete map;hidden attractor;fixed point;equilibrium;chaotification;robust chaos;modulo;pseudo-random bit generator;
This work proposes a family of modulo-based one-dimensional maps with three control parameters. The input to the modulo function includes the addition of three terms, the map’s previous value, a scalar, and a multiple of a chosen seed function. Under certain conditions, the proposed maps will have n ...
Leto:
2024
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
chaos;piecewise map;mean value;distribution;randomness;surveillance;path planning;UAV;nonlinear system;
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, ...
Leto:
2023
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Objavljeni znanstveni prispevek na konferenci
Oznake:
chaos;nonlinear system;chaotification;statistical analysis;bifurcation;
In numerous chaos based applications, it is often important to use chaotic maps that showcase desirable statistical characteristics, that can improve the performance of the designed architecture. Yet, it is hard to design maps that can achieve the desired statistical properties. Motivated by this, t ...
Leto:
2023
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
robust chaos;chaos;unimodal function;S-unimodal function;skew map;tent map;logistic map;sine map;R-map;
Robust chaos is a phenomenon characterized by the continuous occurrence of chaos for the variability of control parameters. Therefore, chaotic systems with this property are highly desirable in various applications, e.g. chaos-based cryptography. One of the properties that allows the construction of ...
Leto:
2025
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
chaos;chaotification;Lyapunov exponent;B-spline;encryption;pseudo-random bit generator;nonlinear system;
In this work, a chaotification technique is proposed for increasing the complexity of chaotic maps. The technique consists of adding the remainder of multiple scalings of the map’s value for the next iteration, so that the most- and least-significant digits are combined. By appropriate parameter tun ...
Leto:
2023
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Objavljeni znanstveni prispevek na konferenci
Oznake:
chaos;nonlinear system;encryption;cryptography;pseudo-random bit generator;data encryption;
Augmented and virtual reality, game designing, medicine, medical engineering, and many other fields all revolve around 3D models. This is because 3D models have superior visual information than digital images. However, in recent years the advancements in digital image encryption are more rapid than ...
Leto:
2023
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)