Optimal Synchronization Parameters for Variable Symmetry Discrete Models of Chaotic Systems

Rybin, Vyacheslav G.; Kolev, Georgii; Kopets, Ekaterina E.; Dautov, Albert; Каримов, А.; Каримов, Тимур

doi:10.1109/meco55406.2022.9797125

Cited by 8 publications

(6 citation statements)

References 10 publications

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“…Some of the previous studies [ 37 , 38 , 39 ] have attempted to investigate the synchronization of coupled chaotic systems and find the best coupling variable for optimal synchronization. As, in this study, the aim is not to reach synchronization, for simplicity, we consider that the systems are coupled linearly through

variables.…”

Section: Methodsmentioning

confidence: 99%

Dominant Attractor in Coupled Non-Identical Chaotic Systems

Hajian

Parthasarathy

Parastesh

et al. 2022

Entropy

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The dynamical interplay of coupled non-identical chaotic oscillators gives rise to diverse scenarios. The incoherent dynamics of these oscillators lead to the structural impairment of attractors in phase space. This paper investigates the couplings of Lorenz–Rössler, Lorenz–HR, and Rössler–HR to identify the dominant attractor. By dominant attractor, we mean the attractor that is less changed by coupling. For comparison and similarity detection, a cost function based on the return map of the coupled systems is used. The possible effects of frequency and amplitude differences between the systems on the results are also examined. Finally, the inherent chaotic characteristic of systems is compared by computing the largest Lyapunov exponent. The results suggest that in each coupling case, the attractor with the greater largest Lyapunov exponent is dominant.

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variables.…”

Section: Methodsmentioning

confidence: 99%

Dominant Attractor in Coupled Non-Identical Chaotic Systems

Hajian

Parthasarathy

Parastesh

et al. 2022

Entropy

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“…In previous works, we attempted to determine the optimal synchronization coefficients for chaotic communication systems based on Lorenz and Rössler systems (Rybin et al 2021(Rybin et al , 2022b. These canonical systems are used as chaos generators in the current study as well, providing a basis for chaotic communication systems under investigation.…”

Section: Investigated Chaotic Systemsmentioning

confidence: 99%

“…where K is the coupling strength coefficient, and y M is the second variable of the master system. It is known (Rybin et al 2021(Rybin et al , 2022b that the preferred synchronization variable for the Lorenz system is y and the approximate value of coupling strength K ≈ 40 provides the fastest synchronization.…”

Section: Investigated Chaotic Systemsmentioning

confidence: 99%

“…where K is a synchronization coefficient and y M is the second variable of the master system, which is also the optimal synchronization variable for Rössler system. The value of coupling strength K ≈ 1.93 provides the rapid synchronization process (Rybin et al 2021(Rybin et al , 2022b.…”

Section: Investigated Chaotic Systemsmentioning

confidence: 99%

“…One natural idea here is to find the optimal synchronization coefficient K (the proportion, in which the transmitter signal is mixed via the receiver signal to force its synchronization) for the given channel conditions. Our previous studies have shown that the synchronization coefficient value provides a noticeable impact on the quality of messaging in coherent systems without noise in the communication channel (Rybin et al 2021(Rybin et al , 2022b. Therefore, the current study aims to investigate the possibility of finding optimal K comprehensively.…”

Section: Introductionmentioning

confidence: 99%

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Estimating Optimal Synchronization Parameters for Coherent Chaotic Communication Systems in Noisy Conditions

Rybin

Babkin

Kvitko

et al. 2023

Chaos Theory and Applications

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It is known, that coherent chaotic communication systems are more vulnerable to noise in the transmission channel than conventional communications. Among the methods of noise impact reduction, such as extended symbol length and various digital filtering algorithms, the optimization of the synchronization coefficient may appear as a very efficient and simple straightforward approach. However, finding the optimal coefficient for the synchronization of two chaotic oscillators is a challenging task due to the high sensitivity of chaos to any disturbances. In this paper, we propose an algorithm for finding the optimal synchronization parameter K_opt for a coherent chaos-based communication system affected by various noises with different signal-to-noise ratios (SNR). It is shown, that under certain conditions, optimal $K$ provides the lowest possible bit error rate (BER) during the transmission. In addition, we show that various metrics applied to the message demodulation task propose different noise immunity to the overall system. For the experimental part of the study, we simulated and physically prototyped two chaotic communication systems based on well-known Rossler and Lorenz chaotic oscillators. The microcontroller-based prototype of a chaotic communication system was developed to investigate the influence of noise in the real transmission channel. The experimental results obtained using the designed hardware testbench are in good correspondence with the theoretical propositions of the study and simulation results. The suggested evaluation metrics and optimization algorithms can be used in the design of advanced chaos-based communication systems with increased performance.

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