Nonlinear observer for synchronization of chaotic systems with application to secure data transmission

Aguilar-López, Ricardo; Martínez-Guerra, Rafael; Pérez-Pinacho, Claudia A.

doi:10.1140/epjst/e2014-02116-0

Cited by 25 publications

(3 citation statements)

References 20 publications

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“…The past decade has seen the rapid development of synchronization schemes for numerous chaotic systems because synchronization plays a critical role in practical applications [63][64][65][66][67]. Therefore, when investigating a new chaotic system it is important to consider its synchronization ability.…”

Section: Synchronization Of Two Identical Systems Without Equilibriummentioning

confidence: 99%

A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization

et al. 2017

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A few special chaotic systems without unstable equilibrium points have been investigated recently. It is worth noting that these special systems are different from normal chaotic ones because the classical Shilnikov criterion cannot be used to prove chaos of such systems. A novel unusual chaotic system without equilibrium is proposed in this work. We discover dynamical properties as well as the synchronization of the new system. Furthermore, a physical realization of the system without equilibrium is also implemented to illustrate its feasibility.

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Section: Synchronization Of Two Identical Systems Without Equilibriummentioning

confidence: 99%

A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization

et al. 2017

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“…Chaotic flows are mathematical models originated from the rules of defining chaotic behaviors [1,2]. In the former decades, the chaos theory has been employed in numerous fields such as digital signature [3], secure cryptography [4], pseudorandom number generation [5], secure communication [6], weak signal detection [7], DC-DC boost converter [8], image encryption [9], neurophysiology [10], secure data transmission [11], etc. For the control and synchronization purposes of chaotic systems, several techniques like active control [12], fuzzy control [13], linear matrix inequality (LMI) [14], sampled-data control [15], impulsive adaptive control [16], intermittent control [17] and sliding mode control (SMC) [18] have been introduced.…”

Section: Introductionmentioning

confidence: 99%

A Simple Chaotic Flow with Hyperbolic Sinusoidal Function and Its Application to Voice Encryption

et al. 2020

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In this article, a new chaotic system with hyperbolic sinusoidal function is introduced. This chaotic system provides a new category of chaotic flows which gives better perception of chaotic attractors. In the proposed chaotic flow with hyperbolic sinusoidal function, according to the changes of parameters of the system, the self-excited attractor and two forms of hidden attractors are occurred. Dynamic behavior of the offered chaotic flow is studied through eigenvalues, bifurcation diagrams, phase portraits, and spectrum of Lyapunov exponents. Moreover, the existence of double-scroll attractors in real word is considered via the Orcard-PSpice software through an electronic execution of the new chaotic flow and illustrative results between the numerical simulation and Orcard-PSpice outcomes are obtained. Lastly, random number generator (RNG) design is completed with the new chaos. Using the new RNG design, a novel voice encryption algorithm is suggested and voice encryption use and encryption analysis are performed.

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“…Since then, the synchronization of chaotic systems has attracted much attention. In addition to its own intrinsic interest, and its rich variety of intriguing features, chaos synchronization has acquired a wide range of important interdisciplinary applications, including time series analysis, secure communication systems, modeling cardiac rhythm and brain activity, and earthquake dynamics [2][3][4][5][6]. These have provided the motivation and driving force for the huge effort currently being devoted to ways of achieving chaos synchronization.…”

Section: Introductionmentioning

confidence: 99%

Multi-switching combination synchronization of chaotic systems

2015

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A novel synchronization scheme is proposed for a class of chaotic systems, extending the concept of multi-switching synchronization to combination synchronization such that the state variables of two or more driving systems synchronize with different state variables of the response system, simultaneously. The new scheme, multi-switching combination synchronization (MSCS), represents a significant extension of earlier multi-switching schemes in which two chaotic systems, in a driver-response configuration, are multi-switched to synchronize up to a scaling factor. In MSCS, the chaotic driving systems multi-switch a response chaotic system in combination synchronization. For certain choices of the scaling factors, MSCS reduces to multi-switching synchronization, implying that the latter is a special case of MSCS. A theoretical approach to control design, based on backstepping, is presented and validated using numerical simulations.

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Nonlinear observer for synchronization of chaotic systems with application to secure data transmission

Cited by 25 publications

References 20 publications

A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization

A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization

A Simple Chaotic Flow with Hyperbolic Sinusoidal Function and Its Application to Voice Encryption

Multi-switching combination synchronization of chaotic systems

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