Rapid chaotic synchronization by intermittent driving signals (original) (raw)
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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.
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.
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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.
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Synchronized chaotic systems have recently been applied to the area of secure communications in a variety of ways. At the same time, there have also been significant advances in deciphering messages masked by chaotic signals. It is important, therefore, to explore more secure approaches to using chaos in communication. We show that multiple chaotic systems can be synchronized through a scalar coupling which carries a stochastic signal generated by random multiplexing of the source systems. This approach, which is a variant of the active-passive decomposition method, promises enhanced security in chaosbased communication.
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Physical Review E, 1997
We present a method for the synchronization of chaotic systems by using occasional coupling. In this method we assume that a chaotic drive system and a response system to be synchronized with the drive system are given. We also assume that a scheme that results in exponentially fast synchronization is available ͑full synchronization͒. Then we present an occasional-coupling scheme in which the drive and response systems are coupled in some intervals ͑synchronization phases͒ and decoupled in some intervals ͑autonomous phases͒, i.e., the response system is switched to an autonomous system. We prove that if the lengths of these intervals are appropriately chosen, then under some mild conditions synchronization can be achieved. We also show that the proposed scheme is robust with respect to noise and parameter mismatch under some mild conditions.
NEW TYPE OF DATA TRANSMISSION USING A SYNCHRONIZATION OF CHAOTIC SYSTEMS
International Journal of Bifurcation and Chaos, 2005
In this article, the secure transmission of data is being realized on the basis of the synchronization of two chaotic systems. The transmitted signal is only the sign of a projection of the state. This has the advantage of making the transmission not very sensitive to the noises of transmission and the attenuation of the transmitted signal without using a VCO (Voltage Control Oscillatory) into the transmitter and the receiver. It should be noted that for the considered type of chaotic system, the traditional conditions of observability and linearization by injection of outputs are not checked. Here, we can only carry out an estimator.
General Approach for Chaotic Synchronization with Applications to Communication
Physical Review Letters, 1995
A general approach for constructing chaotic synchronized dynamical systems is discussed that is based on a decomposition of given systems into active and passive parts. As a possible application we consider an improved encoding method where the information signal is injected into the dynamical system of the transmitter. Furthermore, we show how to design in a systematic way high-dimensional synchronized systems that may be used for efficient hyperchaotic encoding of information.
Cryptography based on Chaotic Synchronization: Round III
Citeseer
This paper discusses cryptography based on the property of chaotic synchronization. Specifically, it is about Round III of such a cryptographic method. Round I showed the feasibility of using chaotic synchronization for cryptography. Round II consisted of a method to counter attack. This paper is Round III and shows how to counter the counter attacks. First, we show numerical evidence that synchronization is possible between two Lorenz systems if one system sends information about x0 at a slower rate. The second system evolves on its own, except that when it receives a signal from the first system, it replaces its own value of y0 by the received x0. We have found that the two systems eventually synchronize, but often after a long time. Therefore, we have devised a technique to speed-up this synchronization. Once this is done, it is possible for the authorized receiver (with the possession of the initial super-key) to keep synchronizing with slowly sampled inputs, whereas the known methods of Round II do not help an eavesdropper.
Secure communication by chaotic synchronization: Robustness under noisy conditions
Nonlinear Analysis: Real World Applications, 2007
In this work we present a thorough investigation of the effect of noise (internal or external) on the synchronization of a driveresponse configuration system (unidirectional coupling between two identical systems). Moreover, since in every practical implementation of a communication system, the transmitter and receiver circuits (although identical) operate under slightly different conditions it is essential to consider the case of the mismatch between the parameters of the transmitter and the receiver. In our work we consider the non-autonomous second order non-linear oscillator system presented by G. Mycolaitis et al. in Proceedings of Seventh International Workshop on Nonlinear Dynamics of Electronic Systems [Globally synchronizable non-autonomous chaotic oscillator, Denmark, July 1999, pp. 277-280], which is particularly suitable for digital communications. Binary information is encoded by combining square pulses of two different frequencies selected so that the system is always in the chaotic regime independent of the encoded message. ᭧