Synchronisation of chaotic oscillators and an investigation of communication using chaos

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by
StatementFredrik Landberg.
ContributionsUniversity of Surrey. Department of Electronic and Electrical Engineering.
ID Numbers
Open LibraryOL19592631M

Chaotic synchronization is very sensitive to noise added to the coupling signal, but some techniques for overcoming this sensitivity point to mechanisms that may already exist in systems of coupled neurons. Eventually, the theory of arrays of coupled chaotic oscillators led to developments in the theory of by: One of the chaotic signals is used to synchronize the chaotic encrypter and the chaotic decrypter.

The other is used to encrypt the plain signal by using a multishift cipher scheme. Keywords: Chaos, Secure communication, Synchronization, ffi oscillator 1.

Introduction. Recently, and since the pioneer work of chaos synchronization [1], chaos-based secure communication systems have evolved in plenty of forms using dif-ferent techniques to achieve synchronization between the transmitter and the receiver.

We consider phase synchronization of chaotic continuous-time oscillator by periodic external force. Phase-locking regions are defined for unstable periodic cycles embedded in chaos, and synchronization is described in terms of these regions. A special flow construction is used to derive a simple discrete-time model of the phenomenon.

Description Synchronisation of chaotic oscillators and an investigation of communication using chaos PDF

Key words. master-slave synchronization, global synchronization, stochastic synchronization, chaos, chua’s circuit, exponential stability AMS subject classiflcations.

34C15, 34C29, 34D23, 74H65, 93C10, 93E15 1. Introduction. Chaos synchronization is a topic of great interest, due to its observation in a huge variety of phenomena of. This chapter is devoted to the problem of robust synchronization of master-slave chaotic systems. By using the notion of relative degree concept, an approximate model of the error system is first obtained.

The approximate model bundles together the nonlinearities, disturbances/perturbations, etc. one. Some other types of synchronization in systems with quasiperiodic and chaotic behavior have been discussed in Ref.

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[9]. In this Letter we investigate phase synchronization of chaotic oscillators. Using the methods of analytic signal and the Poincaré map, we show that the interaction of nonidentical autonomous chaotic oscillators can lead to a.

As reported in the literature, synchronization of chaotic systems suggests the possibility for communication using chaotic waveforms as carriers, perhaps with application to Manuscript received Decem ; revised J This paper was recommended by Associate Editor T. Endo.

To use a chaotic signal in communications we are im-mediately led to the requirement that somehow the receiver must have a duplicate of the transmitter’s chaotic signal or, better yet, synchronize with the transmitter.

In fact, synchro-nization is a requirement of many types of communication systems, not only chaotic ones. Unfortunately, if. Synchronization of chaotic oscillators has an important application in cryptography.

When two identical oscillators are coupled, they can be completely synchronized and the chaotic output of.

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Interesting research of observer based chaotic system synchronization have been done, (Mörgul, ), applied an observer for nonlinear oscillators which can be transformed in an observability canonical form, reduced order observers have been employed for synchronization purposes and parameters identification in chaotic oscillators (Martinez-Guerra, ; Mendoza-Camargo.

Synchronization in the first state of six chaotic Hysteretic oscillators, x i1, i = 1, 2,6, and the chaotic attractor of the dynamical network, projected onto the (x 1, x 2, x 3)-space.

A diagonal line in the phase graph, as shown in the figure 3, means that synchronization is achieved after a. An overview over the methods currently under investigation for the transmission of information hidden in a chaotic signal is given. First, the notion of synchronization is discussed, then the coupling of two systems to achieve synchronization is presented and then four methods to mix the information signal with a chaotic carrier are described.

Thus we provide a simple and robust optical chaos synchronization system that is promising for the realization of communication by sending signals with chaotic carriers.

View Show abstract. Chaos Synchronization in Chua's Circuit. The Synchronized ADVP Oscillator. Asymptotic Stability and Lyapunov Function. Cascading Synchronized Systems. Method of One-way Coupling.

Secure Transmission of Signals by Synchronized Chaotic Systems. Chaotic Signal Masking and Transmission of Analog Signals. Signal Transmission Through Cascading. The effectiveness of the approach is tested in the synchronization of two study cases: The Genesio–Tesi chaotic system and the Rossler oscillator.

As an application of the estimation process, a coding–decoding process involving encrypted messages, in transmitted phase variables, is implemented using a Rossler chaotic system.

Whether secure communication using chaos is reliable. Encryption using *slower* chaotic oscillators would be relatively easy to break. that I read the case of "Billy Milligan" in a book. Synchronization of chaos is a phenomenon that may occur when two, or more, chaotic oscillators are coupled (namely complex networks), or when a chaotic oscillator drives another chaotic oscillator.

called “complete synchronization” of chaotic oscillators. It can be generalized to the case of non-identical systems [9, 10, 11], or that of the interacting subsystems [12, 13, 14].

Another well-studied effect is the “chaos–destroying” synchronization, when a periodic. Abstract. A simple approach is proposed in this chapter to get started on the synchronization of oscillators study.

The basics are given in the beginning such that the reader can get quickly familiar with the main concepts which lead to many kinds of synchronization configurations. Chaotic synchronization is next addressed and is followed by the stability of the synchronization issue. In this work, we study the evolution of three identical, resistively coupled, nonlinear and nonautonomous electric circuits with ring connection, from nonsynchronized oscillations to synchronized ones, when they exhibit chaotic behavior.

By synchronization of chaos we mean that the chaotic oscillations of individual circuits are identical to each other. Abstract. We study the problem of maximizing privacy of data sets by adding random vectors generated via synchronized chaotics oscillators.

In particular, we consider the setup where information about data sets, queries, is sent through public (unsecured) communication channels to a remote station. To hide private features (specific entries) within the data set, we corrupt the response.

As perfect, % secure, ways of encrypting a message may not be realizable, even chaotic synchronization needs to be tested and further developed, while remaining one of the most promising tools for secure communication in the years to come.

This makes the present collection of papers especially timely and useful. Author(s)/Editor(s) Biography. The aim of this paper is to propose a new secure communications approach, obtained by combining into one scheme chaotic modulation, recursive encrypti.

In this paper we demonstrate experimentally the properties of bifurcation, chaos, synchronization and the secure communication idea by making use of the modified Chua's oscillators. Experimental Demonstration of Chaotic Synchronization in the Modified Chua's Oscillators | International Journal of Bifurcation and Chaos.

Abstract In this paper, an experimental realization of chaotic synchronization through nonlinear coupling is presented. This proposed novel method is illustrated in the inductor-free analog model of the Chua’s circuit with threshold nonlinearity.

Synchronization region. Statistical approach. Interpretation through embedded periodic orbits. Phase synchronization in coupled systems Synchronization of two interacting oscillators. Synchronization in a Population of Globally Coupled Chaotic Oscillators.

Lattice of chaotic oscillators. Synchronization of space‐time chaos. Synchronization in networks of chaotic systems is an interesting phenomenon with potential applications to sensing, parameter estimation and communications.

Synchronization of chaos, in addition to being in uenced by the dynamical nature of the constituent network units, is critically dependent upon the maintenance of a proper coupling between the systems. In practical situations, however, synchro.

synchronization of chaotic oscillators has been demonstrated,2 the idea of using chaos to improve character-istics of communication systems have been drawing strong attention. Many of the proposed chaos-based communication schemes can be found in Refs.

3–5. Although the early cha-otic communication schemes have performance characteris. When implemented as an electronic circuit, the corresponding chaotic signal can be controlled by two independent potentiometers, which is convenient for constructing a chaos-based application system.

To the best of our knowledge, this class of chaotic oscillators has never been reported. Regarding chaos synchronization, it is inevitable to think of L.M.

Pecora and T.L. Carroll, who synchronized, for the first time, two identical chaotic oscillators with different initial conditions.

After this result, the research community paid particular attention, and the basics of chaos synchronization were established between and ine the synchronization properties of a specific non- linear optical oscillator, which can be implemented with optical fibers, and its potential use for encryp- tion.

It is the nonlinear passive ring cavity shown in Fig. 2, which is known to produce a chaotic signal.Synchronization and chaotic communication in nonlinear circuits with nonlinear coupling. A secure communication scheme based on chaotic Duffing oscillators and frequency estimation for the transmission of binary-coded messages.

Chaos Synchronization Using A Robust Sliding Mode Observer By Transmitting A Scalar Signal.