Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system (original) (raw)
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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.
Numerical Simulations in Jerk Circuit and It’s Application in a Secure Communication System
In this work, the case of synchronization between two mutually coupled identical chaotic circuits, for use in a secure communication scheme, is studied. The chosen circuit is the well-known Jerk circuit with a simple nonlinear function. By using various tools of nonlinear theory, such as phase portraits, Poincaré maps, bifurcation diagrams and Lyapunov exponents, the chaotic behavior of this system is confirmed. The comparison of the results between the numerical simulation using the MATLAB and circuit's simulation with the MultiSIM verifies that the Jerk circuit presents the expected behavior. Finally, the effectiveness of the mutually coupling scheme between two identical Jerk circuits in a secure communication system is presented in details.
Bidirectional Coupling Scheme of Chaotic Systems and its Application in Secure Communication System
In this paper, in order to show some interesting phenomena of three dimensional autonomous ordinary differential equations, 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 Lyapunov exponents, the Poincaré maps and the bifurcation diagrams. Moreover, some appropriate comparisons are made to contrast some of the existing results. Finally, the effectiveness of the bidirectional coupling scheme between two identical Jerk circuits in a secure communication system is presented in details. Finally, the simulation results are shown to demonstrate that the proposed method is correct and feasible
Secure Communication via a Chaotic Jerk System
Using a chaotic Jerk system and with an ap-propriate state space representation, it was possible to solve the synchronization prob-lem and produce a secure communication sys-tem where the information signal is added to the dynamic of the chaotic Jerk system. From simulation experiments, our propose al-lows us to use information signal beyond the "slow time varying signal" used in other mask-ing systems where adaptive tools are em-ployed. Moreover, numerical simulations of encrypting-decrypting grey level images are shown.
m-hikari.com
The nonlinear chaotic non-autonomous fourth order system is algebraically simple but can generate complex chaotic attractors. In this paper, non-autonomous fourth order chaotic oscillator circuits were designed and simulated. Also chaotic non-autonomous attractor is addressed suitable for chaotic masking communication circuits using Matlab ® and MultiSIM ® programs. We have demonstrated in simulations that chaos can be synchronized and applied to signal masking communications. We suggest that this phenomenon of chaos synchronism may serve as the basis for little known chaotic non-autonomous attractor to achieve signal masking communication applications. Simulation results are used to visualize and illustrate the effectiveness of non-autonomous chaotic system in signal masking. All simulations results performed on non-autonomous chaotic system are verify the applicable of secure communication.
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.
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.
Indian Journal of Science and Technology, 2021
Objective: To investigate a novel chaotic system with unique features, its synchronization using nonlinear active control, analog circuit design and application to secure communication. Methods/Analysis: Dynamical tools such as dissipative analysis, instability of equilibrium points, sensitivity to initial conditions, 0-1 test, recurrence plot, Poincare map, Lyapunov exponents, Lyapunov dimension, frequency spectrum and basin of attraction. Synchronization is achieved using modified nonlinear active control technique and analog circuit design, implementation is done in NI Multisim platform. MATLAB and Multisim results are presented to meet the adequate verification of theoretical approach. Findings: A three-dimensional chaotic system with only two nonlinear terms, three parameters and a total of eight terms are proposed. The proposed system has three saddle focus type equilibria. The proposed system is topologically different from Lorenz's and Rossler's, Lu's, Chen's, and Liu's families. Such dynamic systems are very few in the literature as per authors best knowledge. The system has basin of chaotic attractors for which first Lyapunov exponent ranges between 2.5 to 3. Frequency spectrum and large positive Lyapunov exponent result comparatively large bandwidth of the proposed systems against some well-known chaotic systems. Chaos, periodic and stable behaviors are obtained by altering the system parameters. Novelty/Application: The proposed three-dimensional chaotic system has significant chaotic behavior and broader spectrum than the six chaotic systems like Lorenz, Rossler, Lu, Chen, BG and Liu systems. Unlike the conventional active control approach, the proposed nonlinear active control does not result decoupled error dynamics. The system has significantly large bandwidth which is helpful in the masking of message signals and enhances the security of transmitted signals during communication.
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.