Synchronization of chaotic systems using feedback controller: An application to Diffie–Hellman key exchange protocol and ElGamal public key cryptosystem (original) (raw)
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The University of Danang - Journal of Science and Technology, 2022
Chaos theory is one of the fields of research that has many practical applications. An important application of chaos in communication is that it can be used for secure communication. To be able to use the chaotic signal in communication, we need to synchronize the chaotic signal between the receiver and the transmitter. In this paper, a sliding mode controller is proposed for global synchronization between two chaotic systems. The interesting point of this controller is that it can help reduce the synchronization time based on the selection of the appropriate gain parameter. This method has also been applied to a secure communication system with chaos masking. Finally, numerical simulations are given to illustrate the effectiveness of the proposed method.
Chaotic systems synchronization in secure communication systems
2006
In this paper, synchronization of two chaotic signals is studied and analyzed. A nonlinear recursive backstepping scheme is utilized to design an appropriate control input signal that achieves synchronization between the two chaotic signals. For the sake of comparison, an alternative master-slave synchronizing controller is designed and the two controllers are compared. Numerical simulations are used to demonstrate the effectiveness of the designed control signals in synchronizing the two chaotic systems. The study demonstrates a promising technique which can be applied in secure communication applications, whereby a chaoticallytransmitted information-bearing signal can be faithfully recovered via synchronization.
Chaotic systems are characterized by sensitive dependence on initial conditions, similar to random behavior, and continuous broad-band power spectrum. Chaos is a good potential to be used in secure communications system. In this paper, in order to show some interesting phenomena of three-order Jerk circuit with modulus nonlinearity, the chaotic behavior as a function of a variable control parameter, has been studied. The initial study in this paper is to analyze the phase portraits, the Poincaré maps, the bifurcation diagrams, while the analysis of the synchronization in the case of unidirectional coupling between two identical generated chaotic systems, has been presented. Moreover, some appropriate comparisons are made to contrast some of the existing results. Finally, the effectiveness of the unidirectional coupling scheme between two identical Jerk circuits in a secure communication system is presented in details. Integration of theoretical physics, the numerical simulation by using MATLAB 2010, as well as the implementation of circuit simulations by using MultiSIM 10.0 has been performed in this study.
Secure Communication Based on Synchronization of Three Chaotic Systems
2019
Abstract: In this paper, we study the synchronization of three chaotic T-system with known and unknown parameters. The nonlinear feedback control and adaptive control schemes are used for synchronization with known and unknown parameters respectively. In unknown parameter case, each of systems has two unknown parameters and one known parameter. The stability of synchronization of three system is proved using Lyapunov stability theorem. Also, we use the synchronization of three chaotic systems with unknown parameters in secure communication via masking method. In secure communication, known parameters, unknown parameters, an affine combination of states, and coefficients are used for encryption and decryption. Numerical simulations are shown the effectiveness and feasibility of presented method.
Secure Communication Based on Chaotic Cipher and Chaos Synchronization
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2012
We proposed a secure communication system, which combines two different techniques of chaotic cryptography: chaotic cipher based on the logistic map for information diffusion, and chaos synchronization of two coupled Rössler oscillators for information confusion. The system contains two channels, one for synchronization and another for information transmission. Using the chaotic logistic map, a message is encrypted into one of the variables of the Rössler oscillator in the transmitter and sent to the receiver via the communication channel, while the Rössler oscillators are synchronized via the synchronization channel by another variable. Due to excellent confusion and diffusion properties, both exploiting important properties of chaos, the proposed communication system is extremely secure and fast enough to provide communication in real time.
Performance Analysis of Chaos based Cryptographic Transmission and Chaotic Synchronization 1 Prof
2017
Applications of multimedia broadcasting and mobile communication are the new generation communication networks which demands for more number of users to be serviced through the network every day. For these multiuser applications transmitted data security is very important in wireless communication network. So in this paper a methodology for the transmission of data using chaotic encryption algorithm is proposed to increase the security of the data. A proposed new structure is based on coupling of chaotic system through a robust synchronization technique called Impulsive synchronization. We combine the text message with the chaotic signals to reduce the attack and improve the security of the data. A new method of impulsive synchronization for a class of chaotic systems is proposed and boundaries of stability region also estimated. The performance of BER in AWGN channel are verified and analyzed with MATLAB toolbox.
Synchronization Chaotic Communications with Closed Cryptographic Systems
2008
In this paper the adaptive synchronization law with a single variable coupling is developed to ensure partial synchronization of two non identical dynamical systems. We need some cryptographic concepts to secure communications. We present a new simple way to synchronize two identical chaotic systems via another signal of non identical system, using an adaptive feedback controller. First, to achieve partial synchronization between two non identical systems, it is essential to find a methodology that allows the coordinate subset of response and drive systems that satisfies the coordinate subset of the non identical system. This methodology shows that the adaptive controller is stable for such a coupled system.
A Novel Chaotic System for Secure Communication Applications
Information Technology And Control, 2015
The secure communication using synchronization between identical chaotic systems have been introduced in literature for a long time. A well-known practical application of chaotic synchronized systems is the Pecora and Carroll (P-C) secure communication method. In this paper, the P-C secure communication algorithm is applied to a novel three dimensional, autonomous chaotic attractor. Having a 45 ○ slope between sub-driver and subreceiver circuits of a novel chaotic attractor clearly demonstrates that it can be used for the purpose of secure communications.
2010
In this work, the synchronization of two indirectly coupled discrete-time chaotic systems is first demonstrated. Next, the result is then applied for presenting a secure communication system. The novelty of the proposed method lies on the generation of encryption keystream for discrete-time chaotic systems using indirect coupled synchronization. Simulation is performed for the proposed synchronization and communication system and it is shown that the message can be successfully recovered. Moreover, security analysis of the proposed method is also carried out to show that the technique is indeed potentially secure.