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Necessary Condition for Observer-Based Chaos Synchronization

Ömer Morgül
- 04 Jan 1999 - 
- Vol. 82, Iss: 1, pp 77-80
TLDR
It is shown by examples that many response systems proposed in the literature are of this form, and a necessary condition for synchronization and a selection criterion for appropriate synchronization signal are given.
Abstract
We consider observer-based synchronization of chaotic systems. In this scheme, for a given chaotic drive system, response system is chosen in observer form. We show by examples that many response systems proposed in the literature are of this form. We give a necessary condition for synchronization and a selection criterion for appropriate synchronization signal in this case. We apply this idea to synchronization of well-known hyperchaotic R\"ossler system.

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Journal ArticleDOI

Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback

TL;DR: In this article, the synchronization of coupled chaotic systems with time delay in the presence of parameter mismatches by using intermittent linear state feedback control is investigated, and quasi-synchronization criteria are obtained by means of a Lyapunov function and the differential inequality method.
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Simple adaptive-feedback controller for identical chaos synchronization

TL;DR: A simple adaptive-feedback scheme is proposed to strictly synchronize almost all chaotic systems, which is analytical, and simple to implement in practice, and quite robust against the effect of noise.
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Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system (I)

TL;DR: In this article, a mathematical model of a kind of complicated financial system, and all possible things that the model shows in the operation of our country's macro-financial system are analyzed.
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Secure communication via parameter modulation in a class of chaotic systems

TL;DR: It is shown that the proposed scheme is robust with respect to noise and parameter mismatch, and the convergence of the demodulator is established.
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Observer based chaotic message transmission

TL;DR: This work considers observer based synchronization of continuous-time chaotic systems and presents two message transmission schemes based on chaotic masking and modulation that are robust with respect to noise and parameter mismatch.
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