Finite-time synchronization of Lorenz chaotic systems: theory and circuits

Louodop, Patrick; Fotsin, Hilaire Bertrand; Kountchou, Michaux; Bowong, Samuel

doi:10.1088/0031-8949/88/04/045002

Cited by 8 publications

(9 citation statements)

References 30 publications

(38 reference statements)

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“…Hence, it clearly appears that the synchronization time has to be known and minimized, so to make the synchronization be achieved as fast as possible. In this context, there is a relentless activity in the study of finite-time chaos synchronization [36,37] and gradually of fractional-order systems [38][39][40]. Unfortunately, in many of these references dealing with synchronization, for example in the previous three, applications in secure communication are missing.…”

Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of fractional-order simplest two-component chaotic oscillators

et al. 2017

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Abstract. The problem of finite-time synchronization of fractional-order simplest two-component chaotic oscillators operating at high frequency and application to digital cryptography is addressed. After the investigation of numerical chaotic behavior in the system, an adaptive feedback controller is designed to achieve the finite-time synchronization of two oscillators, based on the Lyapunov function. This controller could find application in many other fractional-order chaotic circuits. Applying synchronized fractionalorder systems in digital cryptography, a well secured key system is obtained. Numerical simulations are given to illustrate and verify the analytic results.

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Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of fractional-order simplest two-component chaotic oscillators

et al. 2017

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“…Due to its diverse applications, synchronization phenomenon in complex network has attracted great attentions (Motter et al 2006;Restrepo et al 2006;Arenas et al 2006;Chen and Zhou 2006;Bowong andKakmeni 2004, 2003;Fotsin and Daafouz 2005;Louodop et al 2013;Tchitnga et al 2013;Louodop et al 2014;Megam et al 2014b, a). Controlled synchronization, with the aim of imposing a desired behavior to a member of a network and then inferring the same behavior in the whole network, represents a recent problem in complex networks (CornejoPerez et al 2012).…”

Section: Introductionmentioning

confidence: 99%

Noise effects on robust synchronization of a small pacemaker neuronal ensemble via nonlinear controller: electronic circuit design

et al. 2016

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In this paper, we report on the synchronization of a pacemaker neuronal ensemble constituted of an AB neuron electrically coupled to two PD neurons. By the virtue of this electrical coupling, they can fire synchronous bursts of action potential. An external master neuron is used to induce to the whole system the desired dynamics, via a nonlinear controller. Such controller is obtained by a combination of sliding mode and feedback control. The proposed controller is able to offset uncertainties in the synchronized systems. We show how noise affects the synchronization of the pacemaker neuronal ensemble, and briefly discuss its potential benefits in our synchronization scheme. An extended Hindmarsh-Rose neuronal model is used to represent a single cell dynamic of the network. Numerical simulations and Pspice implementation of the synchronization scheme are presented. We found that, the proposed controller reduces the stochastic resonance of the network when its gain increases.

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“…This time synchronization is important for an engineer because it permits a better determination of parameters which can entail the synchronization of coupled systems [33]. In this context, there is a keen work in the study of finite-time chaos synchronization [34,35] and gradually of fractionalorder systems [33,36,37]. To the best of our knowledge, except some works like those defined in [21], [22] and more recently in [25] to mention only those who studied stability in the non-adaptive case, no further work has been done in respect to adaptive synchronization case.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization

Mezatio¹,

Motchongom²,

Kengne³

et al. 2020

CSSP

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This article is investigating from one of best control technique known as periodically intermittent discrete observation control (PIDOC), the problem of global synchronization based on a relay configuration of three novel hyperchaotic oscillators of three-components (NHO) operating at high frequency. Contrary to traditional periodically intermittent control based on continuous-time state observations, PIDOC used here, chooses discrete-time state observations in work time during a control period. Our analysis has been limited to a range of parameters for which the NHO-type oscillator exhibits bursting oscillations. The global conditions of stability for non-adaptive and adaptive cases have been proven analytically. To the best of our knowledge and in the literature of the relay coupling system, no work has been carried out concerning the study of the stability of adaptive synchronization case. The Synchronization of the system is analysed in terms of its control gain by using time series. The numerical results show that there is global synchronization between the three relay coupled NHO-type oscillators for both non-adaptive and adaptive synchronizations. Moreover, PSpice based simulations of the analog electronic circuit for the non-adaptive case are in good accordance with both theoretical and numerical results.

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Finite-time synchronization of Lorenz chaotic systems: theory and circuits

Cited by 8 publications

References 30 publications

Finite-time synchronization of fractional-order simplest two-component chaotic oscillators

Finite-time synchronization of fractional-order simplest two-component chaotic oscillators

Noise effects on robust synchronization of a small pacemaker neuronal ensemble via nonlinear controller: electronic circuit design

Adaptive Relay Configuration Based on the Novel Hyperchaotic Three-Components Oscillator Operating at High Frequency: Global Synchronization

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