scholarly journals Hyperchaotic Circuit Based on Memristor Feedback with Multistability and Symmetries

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10 ◽  
Author(s):  
Xiaoyuan Wang ◽  
Xiaotao Min ◽  
Pengfei Zhou ◽  
Dongsheng Yu
Keyword(s):  
Theoretical Analysis ◽  
Dynamic Analysis ◽  
Chaotic System ◽  
Equilibrium Points ◽  
Experimental Results ◽  
System Dynamic ◽  
Hyperchaotic System ◽  
Analogue Circuits

A novel hyperchaotic circuit is proposed by introducing a memristor feedback in a simple Lorenz-like chaotic system. Dynamic analysis shows that it has infinite equilibrium points and multistability. Additionally, the symmetrical coexistent attractors are investigated. Further, the hyperchaotic system is implemented by analogue circuits. Corresponding experimental results are completely consistent with the theoretical analysis.

scholarly journals Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Abir Lassoued ◽  
Olfa Boubaker
Keyword(s):  
Dynamic Analysis ◽  
Circuit Design ◽  
Fractional Order ◽  
Potential Application ◽  
Complex Dynamics ◽  
Equilibrium Points ◽  
Hyperchaotic System ◽  
Software Simulation ◽  
Simulation Results ◽  
Hyperchaotic Systems

A novel hyperchaotic system with fractional-order (FO) terms is designed. Its highly complex dynamics are investigated in terms of equilibrium points, Lyapunov spectrum, and attractor forms. It will be shown that the proposed system exhibits larger Lyapunov exponents than related hyperchaotic systems. Finally, to enhance its potential application, a related circuit is designed by using the MultiSIM Software. Simulation results verify the effectiveness of the suggested circuit.

Realization of a Novel Logarithmic Chaotic System and Its Characteristic Analysis

2019 ◽  
Vol 29 (02) ◽  
pp. 1930004 ◽  
Author(s):  
Xiaoyuan Wang ◽  
Xiaotao Min ◽  
Jun Yu ◽  
Yiran Shen ◽  
Guangyi Wang ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Lyapunov Exponent ◽  
Theoretical Analysis ◽  
Chaotic System ◽  
Nonlinear Term ◽  
Experimental Results ◽  
Characteristic Analysis ◽  
Chaotic Parameter ◽  
Hardware Circuit ◽  
Lyapunov Exponent Spectrum

To further improve the complexity of the chaotic system and broaden the chaotic parameter range, a novel logarithmic chaotic system was constructed by adding a nonlinear term of logarithm. The dynamic characteristics of the chaotic system were analyzed by chaotic phase diagram, bifurcation diagram, Lyapunov exponent spectrum, Poincaré mapping and dynamical map, etc. The system was digitized by DSP simulation, and the corresponding experimental results are completely consistent with the theoretical analysis. Furthermore, the equivalent hardware circuit was designed and theoretical analysis was verified by its experimental results.

Design of Grid Multiscroll Chaotic Attractors via Transformations

2015 ◽  
Vol 25 (10) ◽  
pp. 1530027 ◽  
Author(s):  
Xingxing Ai ◽  
Kehui Sun ◽  
Shaobo He ◽  
Huihai Wang
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Exponent ◽  
Theoretical Analysis ◽  
Experimental Verification ◽  
Equilibrium Points ◽  
Experimental Results ◽  
Chaotic Attractors ◽  
Largest Lyapunov Exponent ◽  
One Dimensional ◽  
Circular Grid

Three transformation approaches for generating grid multiscroll chaotic attractors are presented through theoretical analysis and numerical simulation. Three kinds of grid multiscroll chaotic attractors are generated based on one-dimensional multiscroll Chua system. The dynamics of the multiscroll chaotic attractors are analyzed by means of equilibrium points, eigenvalues, the largest Lyapunov exponent and complexity. As the experimental verification, we implemented the circular grid multiscroll attractor on DSP platform. The simulation and experimental results are consistent well with that of theoretical analysis, and it shows that the design approaches are effective.

scholarly journals A Meminductor-based Chaotic System

2020 ◽  
Vol 49 (2) ◽  
pp. 317-332
Author(s):  
Aixue Qi ◽  
Lei Ding ◽  
Wenbo Liu
Keyword(s):  
Theoretical Analysis ◽  
Chaotic System ◽  
Phase Trajectory ◽  
Equilibrium Points ◽  
Phase Portraits ◽  
Chaotic Attractors ◽  
Circuit Parameter ◽  
Bifurcation Diagrams ◽  
Dynamical Behaviors ◽  
Simulation Results

We propose a meminductor-based chaotic system. Theoretical analysis and numerical simulations reveal complex dynamical behaviors of the proposed meminductor-based chaotic system with five unstable equilibrium points and three different states of chaotic attractors in its phase trajectory with only a single change in circuit parameter. Lyapunov exponents, bifurcation diagrams, and phase portraits are used to investigate its complex chaotic and multi-stability behaviors, including its coexisting chaotic, periodic and point attractors. The proposed meminductor-based chaotic system was implemented using analog integrators, inverters, summers, and multipliers. PSPICE simulation results verified different chaotic characteristics of the proposed circuit with a single change in a resistor value.

Multiscroll Hyperchaotic System with Hidden Attractors and Its Circuit Implementation

2019 ◽  
Vol 29 (09) ◽  
pp. 1950117 ◽  
Author(s):  
Xin Zhang ◽  
Chunhua Wang
Keyword(s):  
Numerical Simulation ◽  
Adaptive Control ◽  
Theoretical Analysis ◽  
Chaotic System ◽  
Control Method ◽  
Hyperchaotic System ◽  
Circuit Implementation ◽  
Hidden Attractors ◽  
System A ◽  
Simulation Results

Based on the study on Jerk chaotic system, a multiscroll hyperchaotic system with hidden attractors is proposed in this paper, which has infinite number of equilibriums. The chaotic system can generate [Formula: see text] scroll hyperchaotic hidden attractors. The dynamic characteristics of the multiscroll hyperchaotic system with hidden attractors are analyzed by means of dynamic analysis methods such as Lyapunov exponents and bifurcation diagram. In addition, we have studied the synchronization of the system by applying an adaptive control method. The hardware experiment of the proposed multiscroll hyperchaotic system with hidden attractors is carried out using discrete components. The hardware experimental results are consistent with the numerical simulation results of MATLAB and the theoretical analysis results.

A New Image Encryption Algorithm of Input-Output Feedback Based on Multi-Chaotic System

2010 ◽  
Vol 40-41 ◽  
pp. 924-929
Author(s):  
Yong Yi Mao ◽  
Zi Chao Deng
Keyword(s):  
Theoretical Analysis ◽  
Image Encryption ◽  
Chaotic System ◽  
Output Feedback ◽  
Logistic Map ◽  
Experimental Results ◽  
New Method ◽  
Encryption Algorithm ◽  
Input Output ◽  
Image Encryption Algorithm

In this paper, a new method is proposed for image encryption by using Transformed Logistic map and Cat map. First, the Transformed logistic map is used to generating two coordinate sequences, and then the primary image's pixels shuffled by the two coordinate sequences. After shuffling, the key stream is produced by the Cat map to encrypt the shuffled image. Theoretical analysis and experimental results indicate that the proposed algorithm has a perfect encryption effect and can resist common attacks

scholarly journals A New 3-D Multistable Chaotic System with Line Equilibrium: Dynamic Analysis and Synchronization

2021 ◽  
Vol 2 (1) ◽  
pp. 55-66
Author(s):  
Muhamad Deni Johansyah
Keyword(s):  
Sliding Mode Control ◽  
Dynamic Analysis ◽  
Chaotic System ◽  
Sliding Mode ◽  
Equilibrium Points ◽  
Chaotic Attractors ◽  
Complete Synchronization ◽  
Equilibrium Dynamic ◽  
New Chaotic System ◽  
Line Equilibrium

This work introduces a new 3-D chaotic system with a line of equilibrium points. We carry out a detailed dynamic analysis of the proposed chaotic system with five nonlinear terms. We show that the chaotic system exhibits multistability with two coexisting chaotic attractors. We apply integral sliding mode control for the complete synchronization of the new chaotic system with itself as leader-follower systems.

A New Relational Database Watermarking Algorithm Based on Chaos

2014 ◽  
Vol 971-973 ◽  
pp. 1485-1490
Author(s):  
Yin Dan Han ◽  
Jiang Feng Xu
Keyword(s):  
Theoretical Analysis ◽  
Chaotic System ◽  
Relational Database ◽  
Binary Sequence ◽  
Hash Functions ◽  
Control Signal ◽  
Experimental Results ◽  
Watermark Embedding ◽  
Primary Key

This paper proposed a new database watermarking algorithm based on a numerical attribute of database. Firstly, the copyright image was encrypted by a chaotic system to produce a binary sequence as the watermark signal. Then it used two hash functions to realize the watermark embedding. The first hash value was calculated by using the connection value of the key and the primary key. Then it filtered out the tuples whose corresponding hash value was even. The second double-hash value was calculated by using the connection of the key and the first hash value, which was used to label tuples and partition tuples. The first hash value was used as a control signal to adjust the parity of the candidate attribute bit when the watermark was embedded. Theoretical analysis and experimental results indicate that the algorithm reduces the amount of embedding watermark and improves the robustness and security of the watermark.

A parachute recovery system dynamic analysis

1966 ◽  
Author(s):  
R. ERICKSEN ◽  
J. GUITERAS ◽  
J. LARRIVEE
Keyword(s):  
Dynamic Analysis ◽  
System Dynamic ◽  
Recovery System
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