Design and Numerical Simulation of Unidirectional Chaotic Synchronization and its Application in Secure Communication System (original) (raw)
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Unidirectional synchronization of Jerk circuit and it’s uses in secure communication system
Advanced Studies in Theoretical Physics, 2015
Information is masked by chaotic signals at the transmitter, and then sent to the receiver by the public channel. Finally the encrypted signals are decrypted at the receiver. In this scheme, the key issue is that the two identical chaos generators in the transmitter end and the receiver end need to be synchronized. 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 unidirectional coupling scheme between two identical Jerk circuits in a secure 546 Aceng Sambas et al. communication system is presented in details. Finally, the simulation and the experimental results are shown to demonstrate that the proposed method is correct and feasible
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.
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.
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
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.
Synchronization Phenomena in Coupled Non - identical Chaotic Circuits
Journal of Engineering Science and Technology Review, 2016
The last decades, the synchronization between coupled chaotic circuits has attracted the interest of the research community because it is a rich and multidisciplinary phenomenon with broad range applications, such as in broadband communication systems, in secure communications and in cryptography. For this reason many coupling schemes between identical nonlinear circuits with chaotic behavior have been presented. However, the basic drawback of the majority of these schemes is the request the coupled circuits to be identical, due to the fact that in real world applications this is impossible. Motivated by the aforementioned inevitable feature of this class of circuits, which drives the systems out of synchronization, a unidirectional coupling scheme between non-identical, nonlinear circuits, is presented in this work. The circuit, which is used, realizes a four-dimensional modified Lorenz system, which is capable of producing chaotic and hyperchaotic attractors. Furthermore, the coupling scheme is designed by using Nonlinear Open Loop Controllers to target the synchronization state. The stability of synchronization is ensured by using Lyapunov function stability theory. Simulation results of the proposed coupling scheme by using SPICE are also presented to verify the feasibility of the proposed coupling scheme.
Applied Mathematical Sciences, 2013
The Chua circuit is among the simplest non-linear circuits that show most complex dynamical behavior, including chaos which exhibits a variety of bifurcation phenomena and attractors. In this paper, Chua attractor's chaotic oscillator, synchronization and masking communication circuits were designed and simulated. The Chua system is addressed suitable for chaotic synchronization circuits and chaotic masking communication circuits using Matlab ® and MultiSIM ® software. Simulation results are used to visualize and illustrate the effectiveness of Chua chaotic system in synchronization and application of secure communication.
Identical synchronization in chaotic jerk dynamical systems
2006
It has been recently investigated that the jerk dynamical systems are the simplest ever systems, which possess variety of dynamical behaviours including chaotic motion. Interestingly, the jerk dynamical systems also describe various phenomena in physics and engineering such as electrical circuits, mechanical oscillators, laser physics, solar wind driven magnetosphere ionosphere (WINDMI) model, damped harmonic oscillator driven by nonlinear memory term, biological systems etc. In many practical situations chaos is undesirable phenomenon, which may lead to irregular operations in physical systems. Thus from a practical point of view, one would like to convert chaotic solutions into periodic limit cycle or fixed point solutions. On the other hand, there has been growing interest to use chaos profitably by synchronizing chaotic systems due to its potential applications in secure communication. In this paper, we have made a thorough investigation of synchronization of identical chaotic j...
IOP Conference Series: Materials Science and Engineering
System of signals propagation from one neuron to other represent event of very complex electrochemical mechanism. In this work, we studied the dynamics of modified FitzHugh-Nagumo multi neuron model with sinusoidal external stimulation. In this paper, the coupled model is established on the basis of spiking neuron model, and then the relation of bidirectional coupling strength of the gap junction and the synchronization is discussed in detail. The sufficient condition of complete synchronization is obtained from rigorous mathematical derivation. It is found that the variation in coupling strength between the neurons leads to different types of bifurcations and the system exhibits the existence of fixed point, periodic and spiking chaotic attractor.
Synchronization is considered as the complete coincidence of the states of individual systems. Such a regime can result from an interaction between systems or subsystems, as well as from the influence of external noisy or regular fields. In this paper, we have performed the design and numerical simulation of the synchronization between two identical coupled Rossler circuits and applied to a security system of communication. We have demonstrated in simulations that chaotic systems can be synchronized and this technique can be applied to signal masking communications by using MATLAB and MultiSIM programs. All simulations results performed on Rossler system, verify the applicable of secure communication.