Title of dissertation: SYNCHRONIZATION OF CHAOTIC OPTOELECTRONIC OSCILLATORS: ADAPTIVE TECHNIQUES AND THE DESIGN OF OPTIMAL NETWORKS Bhargava Ravoori, Doctor of Philosophy, 2011 Dissertation directed by: Professor Rajarshi Roy Department of Physics Synchronization in networks of chaotic systems is an interesting phenomenon with potential applications to sensing, parameter estimation and communi...

Abstract. This paper discusses chaos synchronization between two identical or different fractional order chaotic systems. Base on linear matrix inequality, two new synchronization criterions are constructed by which it is proved that two identical (Lü system) or different (Lü and Chen systems) fractional order chaotic systems are synchronized using the simple linear feedback control laws. Final...

The effects of noise on phase synchronization (PS) of coupled chaotic oscillators are explored. In contrast to coupled periodic oscillators, noise is found to enhance phase synchronization significantly below the threshold of PS. This constructive role of noise has been verified experimentally with chaotic electrochemical oscillators of the electrodissolution of Ni in sulfuric acid solution.

This paper describes the security weaknesses of a recently proposed secure communication method based on chaotic masking using projective synchronization of two chaotic systems. We show that the system is insecure and how to break it in two different ways, by high-pass filtering and by generalized synchronization.

In this communication, open-plus-closed-loop (OPCL) coupling method is applied to make generalized synchronization between two non-linear chaotic dynamical systems. For this reason, a transformation matrix is considered which can be chosen arbitrarily. We have used five different cases to establish our claim. Chaotic behaviours and the efficiency of the generalized synchronization using OPCL me...

The brushless dc motor (BLDCM) with multi-time scales is an electric machine. By coupled BLDCM, it is discovered that chaotic routes of the uncoupled systems influence synchronous result of coupled identical and nonidentical chaotic systems. Another multi-time scales form, Hindmarsh–Rose (HR) neurons, when the chaotic parameter is selected only in the range of the period-doubling route to chaos...

In this paper, we study chaotic synchronization in 1D lattices of two-variable maps coupled with one variable. We give a rigourous proof for the occurrence of chaotic synchronization of spatially homogeneous solutions in such coupled map lattices (CMLs) of lattice size n = 4 with suitable coupling coefficients. For the case of lattice size n > 4, we demonstrate numerical results of synchronized...

The field of chaotic synchronization has grown considerably since its advent in 1990. Several subdisciplines and "cottage industries" have emerged that have taken on bona fide lives of their own. Our purpose in this paper is to collect results from these various areas in a review article format with a tutorial emphasis. Fundamentals of chaotic synchronization are reviewed first with emphases on...

1990s researchers have realized that chaotic systems can be synchronized. The phenomenon chaotic synchronization is immediately interesting because of its high potential for applications. Our purpose in this paper is to collect results from various areas in a review article format with a tutorial emphasis. Chaotic dynamical systems having features, sensitive dependence on initial conditions and...

The master–slave synchronization of a complex chaotic system using multiplex pulse trains is considered. Each master outputs a chaotic pulse train of narrow pulses, the intervals of which are governed by a chaotic map. The slave system has the winner-take-all function. A simple realization of the systems is shown. We provide a theorem which guarantees the synchronization in the case that all ma...