Resistant to noise chaotic communication scheme exploiting the regime of generalized synchronization

Прохоров, М. Д.; Ponomarenko, V. I.; Kulminskiy, D. D.; Короновский, А. А.; Москаленко, О. И.; Hramov, Alexander E.

doi:10.1007/s11071-016-3174-6

Cited by 20 publications

(9 citation statements)

References 51 publications

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“…At present, many kinds of synchronous phenomena have been discussed, such as asymptotic synchronization, projective synchronization [22], [23], generalized synchronization [24], [25] and lag synchronization [25]- [30]. However, in order to describe the problem of lag transmission in network systems, the lag synchronization is the better choice, so this paper mainly studies the finite time problem of lag synchronization.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Lag Synchronization of Memristive Neural Networks With Multi-Links via Adaptive Control

Wang¹,

Li²,

Peng³

et al. 2020

IEEE Access

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The finite-time lag synchronization problem of memristive neural networks with multi-links (MNNLs) is discussed with the adaptive controllers, and the discrete and distributed time-varying delays are included in the network models. With the Lyapunov functional method and the properties of inequality, two different finite-time methods are adopted to prove and compare the effects of the two proposed theorems, and three corollaries are obtained and to be analyzed. Using the assumptions of Lipschitz continuous and boundedness of the activation functions, three lemmas are derived to deal with the difficulty caused by the memristive jumping properties and synchronization lag feature, which make the proof of the theorems simple and clear. Based on that whether time-varying delays are included, with the adaptive control strategy, we design delay-independent and delay-dependent adaptive controllers with different adaptive parameters for the MNNLs respectively. Finally, two numerical simulations are given to show the effectiveness and correctness of the obtained theoretical results. INDEX TERMS Memristive neural networks with multi-links, finite-time lag synchronization, delaydependent adaptive control, delay-independent adaptive control, distributed time-varying delays.

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Section: Introductionmentioning

confidence: 99%

Finite-Time Lag Synchronization of Memristive Neural Networks With Multi-Links via Adaptive Control

Wang¹,

Li²,

Peng³

et al. 2020

IEEE Access

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“…Chaotic communication has number of advantages over traditional harmonic signal-based schemes, namely, better security and steganographic properties [1], low power spectrum density, robustness to multi-path fading and ease of wideband communication system implementation [2]. Chaotic communications are also of interest due to the wide bandwidth of chaotic signals making them useful in systems where narrowband channels are overloaded [3].…”

Section: Introductionmentioning

confidence: 99%

“…To overcome this drawback, a number of techniques have been introduced, which can be divided into two main classes: noise-stable communication schemes and conventional communication schemes with noise reduction; some hybrid types are reported as well. Noise-stable communication approaches include communication with use of generalized synchronization [3,5], the use of analytically-solvable chaotic systems [6], correlation detection with symbolic dynamic encoding [7], etc. Noise reduction techniques for chaotic signals cannot take advantage of the simple signal spectra of conventional multi-harmonic communication systems, forcing them to use linear FIR or IIR filters.…”

Section: Introductionmentioning

confidence: 99%

Filtering Techniques for Chaotic Signal Processing

et al. 2018

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The vulnerability of chaotic communication systems to noise in transmission channel is a serious obstacle for practical applications. Traditional signal processing techniques provide only limited possibilities for efficient filtering broadband chaotic signals. In this paper, we provide a comparative study of several denoising and filtering approaches: a recursive IIR filter, a median filter, a wavelet-based denoising method, a method based on empirical modes decomposition, and, finally, propose the new filtering algorithm based on the cascade of driven chaotic oscillators. Experimental results show that all the considered methods make it possible to increase the permissible signal-to-noise ratio to provide the possibility of message recognition, while the new proposed method showed the best performance and reliability.

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“…Одним из наиболее распространенных типов хаотической синхронизации в природе и технике является режим обобщенной хаотической синхронизации [1][2][3]. Этот тип синхронного поведения означает наличие функциональной связи (функционала) между состояниями взаимодействующих осцилляторов и может наблюдаться как в однонаправленно, так и во взаимно связанных системах и сетях [1][2][3][4][5], при этом возможно его использование для скрытой передачи информации, в том числе по каналам связи с высоким уровнем шума [6][7][8].…”

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“…Короновский взаимодействующих систем (ведомой системы), что затрудняет его использование в эксперименте. В то же время разработанная в [12] модификация этого подхода позволяет диагностировать обобщенную синхронизацию в данном случае путем подачи одного и того же предварительно записанного сигнала на ведомую систему или путем введения линии задержки [8]. Для взаимно связанных систем, как отмечалось выше, этот метод неприменим, однако два других указанных подхода (расчет показателей Ляпунова и метод ближайших соседей) работают как в случае однонаправленной, так и в случае взаимной связи [4,11,13].…”

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Метод Диагностики Обобщенной Синхронизации В Системах Со Сложной Топологией Хаотического Аттрактора

Москаленко¹,

Ханадеев²,

Короновский³

2018

Письма В Журнал Технической Физики

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Предложен метод диагностики режима обобщенной синхронизации в системах со сложной топологией хаотического аттрактора, основанный на рассмотрении трубок траекторий в фазовом пространстве взаимодействующих систем. Работоспособность метода проверена путем численного моделирования двух взаимно связанных модифицированных систем Лоренца, одна из которых находится в хаотическом режиме, а другая демонстрирует режим гиперхаоса. Результаты сопоставлены с данными, полученными методом расчета спектра показателей Ляпунова. Получено хорошее согласие между ними.

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Resistant to noise chaotic communication scheme exploiting the regime of generalized synchronization

Cited by 20 publications

References 51 publications

Finite-Time Lag Synchronization of Memristive Neural Networks With Multi-Links via Adaptive Control

Finite-Time Lag Synchronization of Memristive Neural Networks With Multi-Links via Adaptive Control

Filtering Techniques for Chaotic Signal Processing

Метод Диагностики Обобщенной Синхронизации В Системах Со Сложной Топологией Хаотического Аттрактора

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