Medical Images Encryption Based on Adaptive-Robust Multi-Mode Synchronization of Chen Hyper-Chaotic Systems

In this paper, a novel medical image encryption method based on multi-mode synchronization of hyper-chaotic systems is presented. The synchronization of hyper-chaotic systems is of great significance in secure communication tasks such as encryption of images. Multi-mode synchronization is a novel and highly complex issue, especially if there is uncertainty and disturbance. In this work, an adaptive-robust controller is designed for multimode synchronized chaotic systems with variable and unknown parameters, despite the bounded disturbance and uncertainty with a known function in two modes. In the first case, it is a main system with some response systems, and in the second case, it is a circular synchronization. Using theorems it is proved that the two synchronization methods are equivalent. Our results show that, we are able to obtain the convergence of synchronization error and parameter estimation error to zero using Lyapunov’s method. The new laws to update time-varying parameters, estimating disturbance and uncertainty bounds are proposed such that stability of system is guaranteed. To assess the performance of the proposed synchronization method, various statistical analyzes were carried out on the encrypted medical images and standard benchmark images. The results show effective performance of the proposed synchronization technique in the medical images encryption for telemedicine application.

Download Full-text

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

International Journal of Modern Physics B ◽

10.1142/s0217979208048954 ◽

2008 ◽

Vol 22 (24) ◽

pp. 4175-4188 ◽

Cited By ~ 4

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.

Download Full-text

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

Boletim da Sociedade Paranaense de Matemática ◽

10.5269/bspm.41252 ◽

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.

Download Full-text

Finite Time Synchronization of Chaotic Systems Without Linear Term and Its Application in Secure Communication

International Journal of Information Security and Privacy ◽

10.4018/ijisp.2021100104 ◽

2021 ◽

Vol 15 (4) ◽

pp. 54-78

Author(s):

Shuru Liu ◽

Zhanlei Shang ◽

Junwei Lei

Keyword(s):

Finite Time ◽

Secure Communication ◽

Chaotic Systems ◽

Time Synchronization ◽

Difficult Problem ◽

Stable System ◽

Convergence Time ◽

Unknown Parameters ◽

Communication Scheme ◽

Definition Of

A definition of finite time synchronization of chaotic system was proposed, and a special theorem was proposed to solve the difficult problem of constructing a finite time stable system. After that, a hybrid construction method was proposed by integrating a common stable system and a finite time stable system. That reveals how to construct a finite time stable system, and it is very useful in secure communication since the convergence time is a very important factor that will affect its application in engineering realization. Above theorem and method was applied in the chaotic synchronization and two kinds of synchronization methods were proposed with estimation of unknown parameters. At last, a secure communication scheme was constructed by using above finite time synchronous method of chaotic systems. Also, numerical simulation was done, and the rightness of all the above proposed theorems and methods was shown.

Download Full-text

Synchronization for a Class of Uncertain Fractional Order Chaotic Systems with Unknown Parameters Using a Robust Adaptive Sliding Mode Controller

Mathematical Problems in Engineering ◽

10.1155/2016/7404652 ◽

2016 ◽

Vol 2016 ◽

pp. 1-7 ◽

Cited By ~ 3

Author(s):

Yan Yan

Keyword(s):

Fractional Order ◽

Chaos Synchronization ◽

Chaotic Systems ◽

Sliding Mode ◽

External Disturbance ◽

Lyapunov Stability Theory ◽

Unknown Parameters ◽

Adaptive Sliding Mode Controller ◽

Mode Synchronization ◽

Robust Adaptive

This paper deals with the synchronization of a class of fractional order chaotic systems with unknown parameters and external disturbance. Based on the Lyapunov stability theory, a fractional order sliding mode is constructed and a controller is proposed to realize chaos synchronization. The presented method not only realizes the synchronization of the considered chaotic systems but also enhances the robustness of sliding mode synchronization. Finally, some simulation results demonstrate the effectiveness and robustness of the proposed method.

Download Full-text

Secure communication via hybrid method in nonlinear chaotic systems

20th Iranian Conference on Electrical Engineering (ICEE2012) ◽

10.1109/iraniancee.2012.6292550 ◽

2012 ◽

Author(s):

Nazila Rahnama ◽

Siamak Talebi

Keyword(s):

Hybrid Method ◽

Secure Communication ◽

Chaotic Systems

Download Full-text

Adaptive synchronization of different dimensional chaotic systems with unknown parameters

2008 2nd International Symposium on Systems and Control in Aerospace and Astronautics ◽

10.1109/isscaa.2008.4776350 ◽

2008 ◽

Author(s):

Guanghui Sun ◽

Mao Wang ◽

Lilian Huang

Keyword(s):

Chaotic Systems ◽

Adaptive Synchronization ◽

Unknown Parameters

Download Full-text

Observer-based synchronization of uncertain chaotic systems subject to input saturation

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331217705435 ◽

2017 ◽

Vol 40 (8) ◽

pp. 2526-2535 ◽

Cited By ~ 22

Author(s):

S Mohammadpour ◽

T Binazadeh

Keyword(s):

Chaotic Systems ◽

Actuator Saturation ◽

Input Saturation ◽

State Variables ◽

Adaptive Stabilization ◽

External Disturbances ◽

Van Der Pol ◽

Robust Synchronization ◽

Effective Performance ◽

Uncertain Chaotic Systems

This paper considers the synchronization between two chaotic systems (i.e. master and slave systems) in the presence of practical constraints. The considered constraints are: the unavailability of state variables of both master and slave system, the presence of non-symmetric input saturation, model uncertainties and/or external disturbances (matched and/or unmatched). Considering these constraints, an adaptive robust observer-based controller is designed, which guarantees synchronization between the chaotic systems. For this purpose, a theorem is given and, according to a Lyapunov adaptive stabilization approach, it is proved that the robust synchronization via the proposed observer-based controller is guaranteed in the presence of actuator saturation and it is shown that even if the control signal is saturated, the proposed controller leads to a robust synchronization objective. Finally, in order to show the applicability of the proposed controller, it is applied on the Van der Pol chaotic systems. Computer simulations verify the theoretical results and show the effective performance of the proposed controller.

Download Full-text