scholarly journals A New Chaotic System with a Self-Excited Attractor: Entropy Measurement, Signal Encryption, and Parameter Estimation

Entropy ◽  
2018 ◽  
Vol 20 (2) ◽  
pp. 86 ◽  
Author(s):  
Guanghui Xu ◽  
Yasser Shekofteh ◽  
Akif Akgül ◽  
Chunbiao Li ◽  
Shirin Panahi
Keyword(s):  
Parameter Estimation ◽  
Chaotic System ◽  
New Chaotic System ◽  
Measurement Signal ◽  
Entropy Measurement ◽  
Signal Encryption

scholarly journals Entropy Analysis and Image Encryption Application Based on a New Chaotic System Crossing a Cylinder

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 958 ◽  
Author(s):  
Alaa Kadhim Farhan ◽  
Nadia M.G. Al-Saidi ◽  
Abeer Tariq Maolood ◽  
Fahimeh Nazarimehr ◽  
Iqtadar Hussain
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
Chaotic Attractor ◽  
Chaotic Systems ◽  
Unique Feature ◽  
Engineering Application ◽  
New Chaotic System ◽  
Entropy Measurement ◽  
Reliable Performance ◽  
Encryption Method

Designing chaotic systems with specific features is a hot topic in nonlinear dynamics. In this study, a novel chaotic system is presented with a unique feature of crossing inside and outside of a cylinder repeatedly. This new system is thoroughly analyzed by the help of the bifurcation diagram, Lyapunov exponents’ spectrum, and entropy measurement. Bifurcation analysis of the proposed system with two initiation methods reveals its multistability. As an engineering application, the system’s efficiency is tested in image encryption. The complexity of the chaotic attractor of the proposed system makes it a proper choice for encryption. States of the chaotic attractor are used to shuffle the rows and columns of the image, and then the shuffled image is XORed with the states of chaotic attractor. The unpredictability of the chaotic attractor makes the encryption method very safe. The performance of the encryption method is analyzed using the histogram, correlation coefficient, Shannon entropy, and encryption quality. The results show that the encryption method using the proposed chaotic system has reliable performance.

scholarly journals A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design

Entropy ◽  
2018 ◽  
Vol 20 (9) ◽  
pp. 670 ◽  
Author(s):  
Tomasz Kapitaniak ◽  
S. Mohammadi ◽  
Saad Mekhilef ◽  
Fawaz Alsaadi ◽  
Tasawar Hayat ◽  
...  
Keyword(s):  
Parameter Estimation ◽  
Circuit Design ◽  
Chaotic System ◽  
Stable Equilibrium ◽  
Dynamic Properties ◽  
Three Dimensional ◽  
Equilibrium Analysis ◽  
Entropy Analysis ◽  
New Chaotic System ◽  
Multistable Systems

In this paper, we introduce a new, three-dimensional chaotic system with one stable equilibrium. This system is a multistable dynamic system in which the strange attractor is hidden. We investigate its dynamic properties through equilibrium analysis, a bifurcation diagram and Lyapunov exponents. Such multistable systems are important in engineering. We perform an entropy analysis, parameter estimation and circuit design using this new system to show its feasibility and ability to be used in engineering applications.

scholarly journals The dynamics of a new chaotic system through the Caputo–Fabrizio and Atanagan–Baleanu fractional operators

2019 ◽  
Vol 11 (7) ◽  
pp. 168781401986654 ◽  
Author(s):  
Muhammad Altaf Khan
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Order Parameter ◽  
Numerical Procedure ◽  
Numerical Approach ◽  
Fractional Operators ◽  
Fundamental Properties ◽  
Chaotic Model ◽  
New Chaotic System ◽  
Model Apply

The aim of this article is to analyze the dynamics of the new chaotic system in the sense of two fractional operators, that is, the Caputo–Fabrizio and the Atangana–Baleanu derivatives. Initially, we consider a new chaotic model and present some of the fundamental properties of the model. Then, we apply the Caputo–Fabrizio derivative and implement a numerical procedure to obtain their graphical results. Further, we consider the same model, apply the Atangana–Baleanu operator, and present their analysis. The Atangana–Baleanu model is used further to present a numerical approach for their solutions. We obtain and discuss the graphical results to each operator in details. Furthermore, we give a comparison of both the operators applied on the new chaotic model in the form of various graphical results by considering many values of the fractional-order parameter [Formula: see text]. We show that at the integer case, both the models (in Caputo–Fabrizio sense and the Atangana–Baleanu sense) give the same results.

A HYPERCHAOTIC SYSTEM WITH A FOUR-WING ATTRACTOR

2009 ◽  
Vol 20 (02) ◽  
pp. 323-335 ◽  
Author(s):  
GUOSI HU ◽  
BO YU
Keyword(s):  
System Dynamics ◽  
Lyapunov Exponents ◽  
Computer Simulations ◽  
Chaotic System ◽  
Bifurcation Analysis ◽  
Topological Structure ◽  
Hyperchaotic System ◽  
Wide Range ◽  
New Chaotic System

Recently, there are many methods for constructing multi-wing/multi-scroll or hyperchaotic attractors; however, it has been noticed that the attractors with both multi-wing topological structure and hyperchaotic characteristic rarely exist. A new chaotic system, obtained by making the change on coordinate to the Hu chaotic system, can generate very complex attractors with four-wing topological structure and three positive Lyapunov exponents over a wide range of parameters. The influence of parameters varying to system dynamics is analyzed, computer simulations and bifurcation analysis is also verified in this paper.

scholarly journals Dynamical analysis of a new chaotic system and its chaotic control

2007 ◽  
Vol 56 (11) ◽  
pp. 6230
Author(s):  
Cai Guo-Liang ◽  
Tan Zhen-Mei ◽  
Zhou Wei-Huai ◽  
Tu Wen-Tao
Keyword(s):  
Chaotic System ◽  
Dynamical Analysis ◽  
Chaotic Control ◽  
New Chaotic System

scholarly journals Theoretic and Numerical Study of a New Chaotic System

2010 ◽  
Vol 02 (02) ◽  
pp. 104-109 ◽  
Author(s):  
C.X. Zhu ◽  
Y.H. Liu ◽  
Y. Guo
Keyword(s):  
Chaotic System ◽  
Numerical Study ◽  
New Chaotic System

A NEW CHAOTIC SYSTEM AND ITS GENERATION

2003 ◽  
Vol 13 (01) ◽  
pp. 261-267 ◽  
Author(s):  
WENBO LIU ◽  
GUANRONG CHEN
Keyword(s):  
Chaotic System ◽  
Three Dimensional ◽  
Dynamical Behaviors ◽  
New Chaotic System

This Letter introduces a relatively simple three-dimensional continuous autonomous chaotic system, which can display complex 2- and 4-scroll attractors in simulations. Its generation and basic dynamical behaviors are briefly described.

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