Robust synchronization of uncertain unified chaotic systems subject to noise and its application to secure communication

Robust impulsive lag synchronization of uncertain unified chaotic system with stochastic perturbation

“…This assumption will be a strong weapon to attenuate the parametric uncertainties in chaotic systems. And noting that the synchronization problem of unified chaotic system with or without parametric uncertainties has been addressed by many in the fields, see [3]- [5], [8]- [11], [26]. However, the above-mentioned works cannot be applied to unified chaotic system with stochastic perturbation, which means that our strategy is much more ambitious and practical than those in [3]- [5], [8]- [11], [26].…”

“…Chaos synchronization has become a research focus due to its potential application to secure communication [26], power converters [23], information transmission [24], biological systems [25], and so on. The diverse synchronization phenomena include complete synchronization [11], phase synchronization [6], generalized synchronization [7], anti-synchronization [19], and lag synchronization [11]- [12], [17].…”

“…Moreover, this system exhibits chaotic behavior in whole interval [0, 1], and its synchronization problem has attracted considerable attention [3]- [5], [8]- [11], [26]. Luo et al [8] addressed the function projective synchronization problem of two unified chaotic systems in the presence of unknown system parameters based on Lyapunov stability theory; In [10], Chen and L¨used a new adaptive control method for adaptive synchronization of two uncertain unified chaotic systems; the authors [11] investigated the control and synchronization of complete and lag for unified chaotic systems by employing impulsive control theory.…”

Stabilization of Rössler chaotic dynamical system using fuzzy logic control algorithm

“…Many process applications in engineering, medicine and meteorology are described by chaotic non-linear differential equations whose solutions are too complicated to be controlled by classical methods. Several recent applications of the Rössler chaotic dynamical system deal with signal transmission (Eisencraft et al 2012), transmission security (Cheng 2012;Sheikhan, Shahnazi, and Garoucy 2013), digital communications (Pisarchik et al 2012), neual dynamics (Shi and Lu 2005), encrypt communications (Aguilar-Bustos et al 2010), and complex dynamical networks (Zhao, Aziz-Alaoui, and Bertelle 2012).…”

Various projective synchronization phenomena in two different variable time-delayed systems related to optical bistable devices

“…Synchronization in chaotic dynamics systems has obtained much attention particularly due to their potential application in secure communication, modelling brain activity, system identification and so on [1][2][3][4]. Now the notion of synchronization is extended far beyond complete synchronization, such as generalized synchronization [5], phase synchronization [6], anti-synchronization [7], projective synchronization [8], projective-anticipatory and projective-lag synchronization [9][10][11], and so on.…”