Experimental demonstration of bidirectional chaotic communication by means of isochronal synchronization

Wagemakers, Alexandre; Buldú, Javier M.; Sanjuán, Miguel A. F.

doi:10.1209/0295-5075/81/40005

Cited by 24 publications

(28 citation statements)

References 20 publications

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“…Therefore, our results link the emergence of relay synchronization in instantaneously coupled chaotic systems with the existence of FPS with the relay system and open the possibility of using relay units for secure communications [31]. Comparing our results to those found in the literature [13][14][15][16][17][18][19][20][21], the isospike diagrams show the overall behavior of the system and the relay unit associated with the unpredictability of the scaling function appears as a fundamental for the feasibility of the reliable secure communications.…”

Section: Conclusion and Remarkssupporting

confidence: 77%

“…Relay synchronization (RS) has been used with electronic circuits, as a technique for transmitting and recovering encrypted messages, which can be sent bidirectionally and simultaneously [19]. Apart from its technological applications, RS has also been proposed as a possible mechanism at the basis of isochronous synchronization between distant areas of the brain [20]. Nana and Woafo proposed a theoretical and experimental synchronization of three oscillators coupled as emitter-relay-receiver system [21].…”

Section: Complexitymentioning

confidence: 99%

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Multistability Analysis and Function Projective Synchronization in Relay Coupled Oscillators

et al. 2018

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Regions of stability phases discovered in a general class of Genesio−Tesi chaotic oscillators are proposed. In a relatively large region of two-parameter space, the system has coexisting point attractors and limit cycles. The variation of two parameters is used to characterize the multistability by plotting the isospike diagrams for two nonsymmetric initial conditions. The parameters window in which the jerk system exhibits the unusual and striking feature of multiple attractors (e.g., coexistence of six disconnected periodic chaotic attractors and three-point attraction) is investigated. The second aspect of this study presents the synchronization of systems that act as mediators between two dynamical units that, in turn, show function projective synchronization (FPS) with each other. These are the so-called relay systems. In a wide range of operating parameters; this setup leads to synchronization between the outer circuits, while the relaying element remains unsynchronized. The results show that the coupled systems can achieve function projective synchronization in a determined time despite the unpredictability of the scaling function. In the coupling path, the outer dynamical systems show finite-time synchronization of their outputs, that is, displaying the same dynamics at exactly the same moment. Further, this effect is rather general and it has a wide range of applications where sustained oscillations should be retained for proper functioning of the systems.

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Section: Conclusion and Remarkssupporting

confidence: 77%

Section: Complexitymentioning

confidence: 99%

Multistability Analysis and Function Projective Synchronization in Relay Coupled Oscillators

et al. 2018

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“…Anticipatory mechanisms for prediction and control are already used in physics and engineering [26][27][28][29][30][31][32], as well as in the neurosciences [33][34][35][36][37][38][39][40][41][42][43][44], but usually only work with signals generated by deterministic dynamical systems. Prediction with ARD will probably not be able to compete with model based or off-line schemes.…”

Section: Fig 2: Likementioning

confidence: 99%

Signal prediction by anticipatory relaxation dynamics

Voss

2016

Phys. Rev. E

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Real-time prediction of signals is a task often encountered in control problems as well as by living systems. Here a model-free prediction approach based on the coupling of a linear relaxation-delay system to a smooth, stationary signal is described. The resulting anticipatory relaxation dynamics (ARD) is a frequencydependent predictor of future signal values. ARD not only approximately predicts signals on average but can anticipate the occurrence of signal peaks, too. This can be explained by recognizing ARD as an input/output system with negative group delay. It is completely characterized, including its prediction horizon, by its analytically given frequency response function.

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“…Most of the methods proposed for synchronization of the delay coupled systems depend on the introduction of a third relay element between the two oscillators [45][46][47]. The use of a chaotic system which is different from the outer systems as the relay element is also equally effective in achieving isochronal (zero-lag) synchronization [45].…”

mentioning

confidence: 99%

Bidirectional communication using delay coupled chaotic directly modulated semiconductor lasers

2010

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Abstract. Chaotic synchronization of two directly modulated semiconductor lasers with negative delayed optoelectronic feedback is investigated and this scheme is found to be useful for efficient bidirectional communication between the lasers. A symmetric bidirectional coupling is identified as a suitable method for isochronal synchronization of such lasers. The optimum values of coupling and feedback strength that can provide maximum quality of synchronization are identified. This method is successfully employed for encoding/decoding both analog and digital messages. The importance of a symmetric coupling is demonstrated by studying the variation of decoding efficiency with respect to asymmetric coupling.

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Experimental demonstration of bidirectional chaotic communication by means of isochronal synchronization

Cited by 24 publications

References 20 publications

Multistability Analysis and Function Projective Synchronization in Relay Coupled Oscillators

Multistability Analysis and Function Projective Synchronization in Relay Coupled Oscillators

Signal prediction by anticipatory relaxation dynamics

Bidirectional communication using delay coupled chaotic directly modulated semiconductor lasers

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