Qualitative Theory of Dynamical Systems, Chaos and Contemporary Wireless Communications

Andreyev, Yu. V.; Dmitriev, A. S.; Ефремова, Е. В.; Khilinsky, A. D.; Kuzmin, L. V.

doi:10.1142/s0218127405014295

Cited by 46 publications

(18 citation statements)

References 7 publications

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“…Unlike antenna arrays, collective emission of direct chaotic transmitter ensembles is based on nonsynchronous (noncoherent) emission of ensemble elements [7,8]. Each ensemble element has a transmitter with its own independent chaotic oscillator.…”

Section: Introductionmentioning

confidence: 99%

Structure of the emission field of ensemble of ultra-wideband chaotic sources

Andreyev

2019

ITM Web Conf.

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The structure of the emission field of ensemble of independent ultra-wideband chaotic sources in collective emission mode is investigated analytically and numerically, including power density, directivity, and far zone border. The waves emitted by independent individual sources are incoherent; hence in the reception point the created incoherent fields are summed by power, and this summation gives no additional directivity to the ensemble emission pattern. If all the individual antennas are equal, emission pattern of the entire ensemble is the same as the emission pattern of any of the individual emitters.

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Section: Introductionmentioning

confidence: 99%

Structure of the emission field of ensemble of ultra-wideband chaotic sources

Andreyev

2019

ITM Web Conf.

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“…Noncoherent detection of chaotic radio pulses in a multipath channel is not a problem when the propagation delays of the reflected paths do not exceed the duration of the interpulse guard interval [2][3][4]. In such a case, there is actually no interpulse interference, thus, the performance of energy detection of chaotic radio pulses in the multipath channel in terms of error probability is close to that of AWGN single path channel [2,3].…”

Section: Introductionmentioning

confidence: 99%

Ultra-wideband chaotic radio pulse reception in the case of inter-pulse interference

Kuzmin

Grinevich

2019

ITM Web Conf.

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“…The relevant state-of-the-art provides insight/information related to the dynamical behavior of chaotic electronic circuits [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Compared to their Low frequency counterparts, high frequency chaotic oscillators present interesting features [3,12] that make them suitable for communication operations.…”

Section: Introductionmentioning

confidence: 99%

“…Compared to their Low frequency counterparts, high frequency chaotic oscillators present interesting features [3,12] that make them suitable for communication operations. Current designs exploit the intrinsic nonlinearity of a bipolar junction transistor (BJT) in a single stage oscillator built with a LC resonator [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Among various chaotic oscillators of this type, the Colpitts oscillator [6,7] stands as a good prototype/paradigm.…”

Section: Introductionmentioning

confidence: 99%

On the analysis of bipolar transistor based chaotic circuits: case of a two-stage colpitts oscillator

et al. 2011

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We perform a systematic analysis of a system consisting of a two-stage Colpitts oscillator. This well-known chaotic oscillator is a modification of the standard Colpitts oscillator obtained by adding an extra transistor and a capacitor to the basic circuit. The two-stage Colpitts oscillator exhibits better spectral characteristics compared to a classical single-stage Colpitts oscillator. This interesting feature is suitable for chaos-based secure communication applications. We derive a smooth mathematical model (i.e., sets of nonlinear ordinary differential equations) to describe the dynamics of the system. The stability of the equilibrium states is carried out and conditions for the oc-J. Kengne ( ) · V.A. Fono Laboratoire d'Automatique et d'Informatique Appliquée currence of Hopf bifurcations are obtained. The numerical exploration reveals various bifurcation scenarios including period-doubling and interior crisis transitions to chaos. The connection between the system parameters and various dynamical regimes is established with particular emphasis on the role of both bias (i.e., power supply) and damping on the dynamics of the oscillator. Such an approach is particularly interesting as the results obtained are very useful for design engineers. The real physical implementation (i.e., use of electronic components) of the oscillator is considered to validate the theoretical analysis through several comparisons between experimental and numerical results.

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Qualitative Theory of Dynamical Systems, Chaos and Contemporary Wireless Communications

Abstract: This paper shows how the qualitative theory of dynamical systems, that is intensively developed during the last forty years, is currently applied in practice to provide effective wireless ultrawideband communications using chaotic information carrier.

Cited by 46 publications

References 7 publications

Structure of the emission field of ensemble of ultra-wideband chaotic sources

Structure of the emission field of ensemble of ultra-wideband chaotic sources

Ultra-wideband chaotic radio pulse reception in the case of inter-pulse interference

On the analysis of bipolar transistor based chaotic circuits: case of a two-stage colpitts oscillator

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