Chaotic maps

The main contributions of this study are the construction of the 2D-LTMM to overcome the shortcomings of existing chaotic maps and the development of the LTMM-CIEA to concurrently encrypt the three colour planes of images.

21p guernsey 28-12-2021 6 0   Download

Bài viết này nghiên cứu về lý thuyết về giải thuật tìm kiếm tối ưu Vortex Search (VS), lý thuyết và ứng dụng lý thuyết Chaos vào họ giải thuật MetaHeuristics. Chúng tôi đề xuất cải tiến giải thuật VS bằng cách lai quy luật phát sinh tập ứng viên giải thuật VS với hàm Chaotic Bernoulli Map. Kết quả kiểm chứng trên tập 20 hàm Benchmark cho thấy giải thuật mới có kết quả tốt hơn so với nguyên bản trên các tiêu chí đánh giá. Mời các bạn cùng tham khảo!

11p tunelove 12-06-2021 28 2   Download

Recently, conventional logistic maps have been used in different vital applications like modeling and security. However, unfortunately the conventional logistic maps can tolerate only one changeable parameter. In this paper, three different generalized logistic maps are introduced with arbitrary powers which can be reduced to the conventional logistic map. The added parameter (arbitrary power) increases the degree of freedom of each map and gives us a versatile response that can fit many applications.

9p kethamoi1 17-11-2019 17 2   Download

This paper summarizes the symmetric image encryption results of 27 different algorithms, which include substitution-only, permutation-only or both phases. The cores of these algorithms are based on several discrete chaotic maps (Arnold’s cat map and a combination of three generalized maps), one continuous chaotic system (Lorenz) and two non-chaotic generators (fractals and chess-based algorithms).

16p kequaidan1 16-11-2019 13 0   Download

This paper presents the design of the generalized Double Humped (DH) logistic map, used for pseudorandom number key generation (PRNG). The generalized parameter added to the map provides more control on the map chaotic range. A new special map with a zooming effect of the bifurcation diagram is obtained by manipulating the generalization parameter value. The dynamic behavior of the generalized map is analyzed, including the study of the fixed points and stability ranges, Lyapunov exponent, and the complete bifurcation diagram.

14p trinhthamhodang1 14-11-2019 9 0   Download

This paper discusses the utilization of the complex chaotic dynamics given by the selected time-continuous chaotic systems as well as by the discrete chaotic maps, as the chaotic pseudo-random number generators and driving maps for the chaos based optimization.

12p vioishi2711 01-07-2019 12 1   Download

In this paper we have designed a new image encryption algorithm, which includes a novel chaotic map and coding scheme. In the suggested approach, the coding algorithm is based on Gray code. Each pixel in the encrypted image is generated by applying XOR operation to two items: the first item is the coded form of the corresponded pixel in the original image. The second one is a pixel in the original image which is selected by the chaotic map.

6p blossom162 31-03-2019 32 2   Download

This paper investigates the dynamics and stability properties of a so-called planar truncated normal form map. This kind of map is widely used in the applied context, especially in normal form coefficients of n-dimensional maps.

14p danhdanh27 07-01-2019 17 2   Download

In this paper, we give two examples to show that an invertible mapping being Li–Yorke chaotic does not imply its inverse being Li–Yorke chaotic, in which one is an invertible bounded linear operator on an infinite dimensional Hilbert space and the other is a homeomorphism on the unit open disk.

6p danhdanh27 07-01-2019 32 1   Download

We discuss how chaos conditions on maps carry over to their products. First we give a counterexample showing that the product of two chaotic maps (in the sense of Devaney) need not be chaotic. We then remark that if two maps (or even one of them) exhibit sensitive dependence on initial conditions, so does their product, likewise, if two maps possess dense periodic points, so does their product.

8p tuongvidanh 06-01-2019 19 1   Download

For many classically chaotic systems it is believed that the quantum wave functions become uniformly distributed, that is the matrix elements of smooth observables tend to the phase space average of the observable. In this paper we study the fluctuations of the matrix elements for the desymmetrized quantum cat map. We present a conjecture for the distribution of the normalized matrix elements, namely that their distribution is that of a certain weighted sum of traces of independent matrices in SU(2).

20p noel_noel 17-01-2013 59 5   Download

This book is a collection of current research in the application of evolutionary algorithms and other optimal algorithms to solving the TSP problem. It brings together researchers with applications in Artificial Immune Systems, Genetic Algorithms, Neural Networks and Differential Evolution Algorithm. Hybrid systems, like Fuzzy Maps, Chaotic Maps and Parallelized TSP are also presented.

0p cucdai_1 22-10-2012 94 6   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Transmission Error and Compression Robustness of 2D Chaotic Map Image Encryption Schemes

16p sting10 24-02-2012 48 4   Download