scholarly journals A New Hyperchaotic Map for a Secure Communication Scheme with an Experimental Realization

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1881 ◽  
Author(s):  
Nadia M. G. Al-Saidi ◽  
Dhurgham Younus ◽  
Hayder Natiq ◽  
M. R. K. Ariffin ◽  
M. A. Asbullah ◽  
...  
Keyword(s):  
Secure Communication ◽  
Cross Correlation ◽  
Chaotic Systems ◽  
Complex Dynamics ◽  
Chaotic Map ◽  
High Sensitivity ◽  
Experimental Realization ◽  
Practical Applications ◽  
Communication Scheme ◽  
Different Chaotic Systems

Using different chaotic systems in secure communication, nonlinear control, and many other applications has revealed that these systems have several drawbacks in different aspects. This can cause unfavorable effects to chaos-based applications. Therefore, presenting a chaotic map with complex behaviors is considered important. In this paper, we introduce a new 2D chaotic map, namely, the 2D infinite-collapse-Sine model (2D-ICSM). Various metrics including Lyapunov exponents and bifurcation diagrams are used to demonstrate the complex dynamics and robust hyperchaotic behavior of the 2D-ICSM. Furthermore, the cross-correlation coefficient, phase space diagram, and Sample Entropy algorithm prove that the 2D-ICSM has a high sensitivity to initial values and parameters, extreme complexity performance, and a much larger hyperchaotic range than existing maps. To empirically verify the efficiency and simplicity of the 2D-ICSM in practical applications, we propose a symmetric secure communication system using the 2D-ICSM. Experimental results are presented to demonstrate the validity of the proposed system.

LAG PROJECTIVE STOCHASTIC PERTURBED SYNCHRONIZATION FOR CHAOTIC SYSTEMS AND ITS APPLICATION IN SECURE COMMUNICATION

2008 ◽  
Vol 22 (24) ◽  
pp. 4175-4188 ◽  
Author(s):  
YANG TANG ◽  
JIAN-AN FANG ◽  
LIANG CHEN
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Stochastic Perturbation ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Adaptive Feedback ◽  
Communication Scheme ◽  
Simulation Results ◽  
Feedback Method

In this paper, a simple and systematic adaptive feedback method for achieving lag projective stochastic perturbed synchronization of a new four-wing chaotic system with unknown parameters is presented. Moreover, a secure communication scheme based on the adaptive feedback lag projective synchronization of the new chaotic systems with stochastic perturbation and unknown parameters is presented. The simulation results show the feasibility of the proposed method.

scholarly journals Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Roman Senkerik ◽  
Ivan Zelinka ◽  
Michal Pluhacek ◽  
Donald Davendra ◽  
Zuzana Oplatková Kominkova
Keyword(s):  
Differential Evolution ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Chaotic Map ◽  
Differential Evolution Algorithm ◽  
Pseudorandom Number Generator ◽  
Pseudorandom Sequences ◽  
Evolutionary Technique ◽  
Evolutionary Tuning ◽  
Different Chaotic Systems

Evolutionary technique differential evolution (DE) is used for the evolutionary tuning of controller parameters for the stabilization of set of different chaotic systems. The novelty of the approach is that the selected controlled discrete dissipative chaotic system is used also as the chaotic pseudorandom number generator to drive the mutation and crossover process in the DE. The idea was to utilize the hidden chaotic dynamics in pseudorandom sequences given by chaotic map to help differential evolution algorithm search for the best controller settings for the very same chaotic system. The optimizations were performed for three different chaotic systems, two types of case studies and developed cost functions.

Design and FPGA Implementation of New Multidimensional Chaotic Map for Secure Communication

2021 ◽  
pp. 2150280
Author(s):  
Belqassim Bouteghrine ◽  
Camel Tanougast ◽  
Said Sadoudi
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Chaotic Maps ◽  
Chaotic Behavior ◽  
Chaotic Map ◽  
Two Phase ◽  
Multiple Parameters ◽  
Random Keys ◽  
Field Programmable ◽  
Constrained Devices

Due to their structure and complexity, chaotic systems have been introduced in several domains such as electronic circuits, commerce domain, encryption and network security. In this paper, we propose a novel multidimensional chaotic system with multiple parameters and nonlinear terms. Then, a two-phase algorithm is presented for investigating the chaotic behavior using bifurcation and Lyapunov exponent (LE) theories. Finally, we illustrate the performances of our proposal by constructing three (03) chaotic maps (3-D, 4-D and 5-D) and implementing the 3-D map on Field-Programmable-Gate-Array (FPGA) boards to generate random keys for securing a client–server communication purpose. Based on the achieved results, the proposed scheme is considered an ideal candidate for numerous resource-constrained devices and internet of the things (IoT) applications.

scholarly journals CHAOS ENTANGLEMENT: A NEW APPROACH TO GENERATE CHAOS

2013 ◽  
Vol 23 (05) ◽  
pp. 1330014 ◽  
Author(s):  
HONGTAO ZHANG ◽  
XINZHI LIU ◽  
XUEMIN SHEN ◽  
JUN LIU
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Complex Dynamics ◽  
Saddle Points ◽  
Dynamical Analysis ◽  
Chaotic Attractors ◽  
New Approach ◽  
One Dimensional ◽  
Linear Subsystem ◽  
Stable Linear

A new approach to generate chaotic phenomenon, called chaos entanglement, is proposed in this paper. The basic principle is to entangle two or multiple stable linear subsystems by entanglement functions to form an artificial chaotic system such that each of them evolves in a chaotic manner. Firstly, a new attractor, entangling a two-dimensional linear subsystem and a one-dimensional one by sine function, is presented as an example. Dynamical analysis shows that both entangled subsystems are bounded and all equilibra are unstable saddle points when chaos entanglement is achieved. Also, numerical computation shows that this system has one positive Lyapunov exponent, which implies chaos. Furthermore, two conditions are given to achieve chaos entanglement. Along this way, by different linear subsystems and different entanglement functions, a variety of novel chaotic attractors have been created and abundant complex dynamics are exhibited. Our discovery indicates that it is not difficult any more to construct new artificial chaotic systems/networks for engineering applications such as chaos-based secure communication. Finally, a possible circuit is given to realize these new chaotic attractors.

A Novel Secure Communication Scheme Based on Chaotic System

2011 ◽  
Vol 255-260 ◽  
pp. 2242-2247
Author(s):  
Peng Cheng Wei ◽  
Wei Ran ◽  
Jun Jian Huang
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
High Speed ◽  
Chaotic Systems ◽  
Piecewise Linear ◽  
Binary Sequence ◽  
Symbolic Sequence ◽  
High Security ◽  
Communication Scheme

A secure communication scheme based on piecewise linear chaotic system is proposed. Two Chaotic Systems are used in this algorithm, with a symbolic sequence generated by a Chaotic System the message sequence is tracked, employing the chaotic masking technique the message for transmitted is encrypted with a binary sequence extracted from another Chaotic System. The theoretic and experience results stated that the proposed algorithm has many properties such as high speed and easy implementing and high security and it is suitable for practical use in the secure communication.

‎S‎ynchronization ‎of‎ different ‎dimensions‎ ‎fractional-‎order chaotic ‎systems with uncertain‎‎ ‎ parameters ‎and ‎secure ‎communication‎‎‎‎‎

2021 ◽  
Vol 39 (5) ◽  
pp. 57-72
Author(s):  
Vajiheh Vafaei ◽  
Hossein Kheiri ◽  
Aliasghar Jodayree Akbarfam
Keyword(s):  
Fractional Order ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Security Analysis ◽  
High Sensitivity ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Function Projective Synchronization ◽  
Fractional Order Controller

In ‎this ‎paper, ‎an‎ adaptive ‎modified‎ function projective synchronization (‎AM‎FPS) ‎scheme‎ ‎of ‎different ‎dimensions‎‎ ‎fractional-‎order ‎chaotic systems with ‎fully ‎unknown parameters is ‎presented‎. ‎On the basis of ‎fractional‎ Lyapunov stability ‎theory ‎and adaptive control law‎,‎ a‎ ‎new‎ fractional-order controller ‎and‎ suitable ‎‎‎‎update ‎rules‎ for unknown parameters are ‎designed‎‎ to realize the ‎AMFPS‎ of different ‎fractional-‎order chaotic systems with ‎non-‎identical ‎orders ‎and different dimensions‎‎. ‎‎Theoretical analysis and numerical simulations are given to verify the validity ‎of ‎the proposed ‎method. ‎Additionally, ‎‎‎‎synchronization results ‎are applied to secure communication via ‎‎ ‎modified ‎‎‎‎masking ‎method. Due to the unpredictability of the scale ‎function ‎matrix‎ and ‎using‎ of ‎fractional-‎order ‎systems with different ‎dimensions ‎and ‎u‎nequal‎ ‎orders,‎‎ the proposed scheme has higher ‎security‎‎. The security analysis ‎‎‎demonstrate that the proposed algorithm ‎has ‎a large key space ‎and‎ high sensitivity to encryption keys ‎and it is ‎‎re‎sistance to all kind of ‎‎attacks‎.

Chaotic Systems Based Real-Time Implementation of Visual Cryptography Using LabVIEW

2020 ◽  
Vol 37 (4) ◽  
pp. 639-645
Author(s):  
Gülden Günay Bulut ◽  
Mehmet Cem Çatalbaş ◽  
Hasan Güler
Keyword(s):  
Real Time ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Control Method ◽  
Visual Cryptography ◽  
Real Time Simulation ◽  
The Real ◽  
Time Simulation ◽  
The Difference ◽  
Different Chaotic Systems

In recent years, chaotic systems have begun to take a substantial place in literature due to increasing importance of secure communication. Chaotic synchronization which has emerged as a necessity for secure communication can now be performed with many different methods. This study purposes the Master-Slave synchronization via active controller and real time simulation of five different chaotic systems such as Lorenz, Sprott, Rucklidge, Moore-Spiegel, Rössler. Master slave synchronization was performed because of synchronization realized between the same type of chaotic systems with different initial parameters and also because of the systems were expected to behave similarly as a result of synchronization. Active control method was used to amplify the difference signal between master and slave systems which have different initial parameters and to return back synchronization information to the slave system. The real time simulation and synchronization of the master and slave systems performed successfully in LabVIEW environment. Furthermore, for the real time implementation, analogue outputs of NI-DAQ card used and real time results also were observed on an oscilloscope and secure communication application using sinusoidal signal and an image encryption application achieved successfully.

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