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The harmonic oscillator is an essential tool, widely used in all branches of Physics in order to understand more realistic systems, from classical to quantum and relativistic regimes. We know that the harmonic oscillator is integrable in…

Chaotic Dynamics · Physics 2018-11-15 Ronaldo S. S. Vieira , Tatiana A. Michtchenko

The idea that chaos could be a useful tool for analyze nonlinear systems considered in this paper and for the first time the two time scale property of singularly perturbed systems is analyzed on chaotic attractor. The general idea…

Chaotic Dynamics · Physics 2012-05-18 Mozhgan Mombeini , Ali Khaki Sedigh , Mohammad Ali Nekoui

New chaos-based communication schemes for transmission of analog and digital information are suggested. The carrier signal is produced by chaotic generator having well-defined oscillation phases at least on short time intervals. For data…

Chaotic Dynamics · Physics 2017-08-10 Olga B. Isaeva , Alexey Yu. Jalnine , Sergey P. Kuznetsov

Chaotic systems play a key role in modern image encryption due to their sensitivity to initial conditions, ergodicity, and complex dynamics. However, many existing chaos-based encryption methods suffer from vulnerabilities, such as…

Cryptography and Security · Computer Science 2025-10-15 Weixuan Li , Guang Yu , Quanjun Li , Junhua Zhou , Jiajun Chen , Yihang Dong , Mengqian Wang , Zimeng Li , Changwei Gong , Lin Tang , Xuhang Chen

In this paper, after reviewing the main points of image encryption and threshold function, we introduce the methods of chaotic image encryption based on pseudorandom bit padding that the bits be generated by the novel generalized threshold…

Cryptography and Security · Computer Science 2023-07-19 Sodeif Ahadpour , Yaser Sadra , Zahra ArastehFard

An improved CAST-128 encryption algorithm, which is done by implementing chaos-based adaptive S-box generation using Logistic sine Map (LSM), has been provided in this paper because of the increasing requirements of efficient and smart…

Cryptography and Security · Computer Science 2025-09-10 Fadhil Abbas Fadhil , Maryam Mahdi Alhusseini , Mohammad-Reza Feizi-Derakhshi

Chaotic logic gates or `chaogates' are a promising mixed-signal approach to designing universal computers. However, chaotic systems are exponentially sensitive to small perturbations, and the effects of noise can cause chaotic computers to…

Chaotic Dynamics · Physics 2022-02-16 Noeloikeau Charlot , Daniel J. Gauthier

The appearance of the chaotic synchronization regimes has been discovered for the coupled spatially extended beam-plasma Pierce systems. The coupling was introduced only on the right bound of each subsystem. It has been shown that with…

Plasma Physics · Physics 2009-11-11 Roman A. Filatov , Alexander E. Hramov , Alexey A. Koronovskii

Chaotic evolution of structures in Coupled map lattice driven by identical noise on each site is studied (a structure is a group of neighbouring lattice-sites for whom values of dynamical variable follow certain predefined pattern). Number…

chao-dyn · Physics 2009-10-28 Manojit Roy , R. E. Amritkar

Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the features which characterize scattering systems with an underlying…

chao-dyn · Physics 2009-10-31 Tsampikos Kottos , U. Smilansky

A new type of deterministic chaos for a system described by iterative two-dimensional maps is reported. The series being generated by the original map has an average upward trend while the first difference, which is the series of changes…

Chaotic Dynamics · Physics 2010-07-22 Taisei Kaizoji

It is shown that a coupled map model for open flow may exhibit spatial chaos and spatial quasiperiodicity with temporal periodicity. The locations of these patterns, which cover a substantial part of parameter space, are indicated in a…

chao-dyn · Physics 2009-10-22 Frederick H. Willeboordse , Kunihiko Kaneko

The use of reverse time chaos allows the realization of hardware chaotic systems that can operate at speeds equivalent to existing state of the art while requiring significantly less complex circuitry. Matched filter decoding is possible…

Data Analysis, Statistics and Probability · Physics 2016-10-11 J. Phillip Bailey , Aubrey N. Beal , Robert N. Dean , Michael C. Hamilton

The emergence of quantum computing has introduced unprecedented security challenges to conventional cryptographic systems, particularly in the domain of optical communications. This research addresses these challenges by innovatively…

Mean value and cross-covariance function of chaotic binary sequences are evaluated for chaotic maps with specific properties. We also take into account the effect of fixed- and floating-point representations on statistical properties of…

Chaotic Dynamics · Physics 2008-05-29 Bogdan Cristea

Fundamental problems of periodicity and transient process to periodicity of chaotic trajectories in computer realization with finite computation precision is investigated by taking single and coupled Logistic maps as examples. Empirical…

Chaotic Dynamics · Physics 2009-11-10 Shihong Wang , Weirong Liu , Huaping Lu , Jinyu Kuang , Gang Hu

This paper presents a robust image encryption and key distribution framework that integrates an enhanced AES-128 algorithm with chaos theory and advanced steganographic techniques for dual-layer security. The encryption engine features a…

Cryptography and Security · Computer Science 2025-06-18 Md Rishadul Bayesh , Dabbrata Das , Md Ahadullah

Chaotic synchronization is generally extremely sensitive to the presence of noise and other inference in the channel. Is this sensitivity a fundamental property of chaotic synchronization or is it related to the choice of synchronization…

Chaotic Dynamics · Physics 2007-05-23 A. S. Dmitriev , M. Hasler , G. Kassian , A. D. Khilinsky

In this paper, a rigorous analysis of the behavior of the standard logistic map, Logistic Tent system (LTS), Logistic-Sine system (LSS) and Tent-Sine system (TSS) is performed using 0-1 test and three state test (3ST). In this work, it has…

Numerical Analysis · Mathematics 2021-02-16 Joan S. Muthu , Aditya Jyoti Paul , P. Murali

The erratic nature of chaotic behavior is thought to erode the stability of periodic behavior, including topological oscillations. However, we discover that in the presence of chaos, non-trivial topology not only endures but also provides…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Haydar Sahin , Hakan Akgün , Zhuo Bin Siu , S. M. Rafi-Ul-Islam , Jian Feng Kong , Mansoor B. A. Jalil , Ching Hua Lee