Synchronization in the network of chaotic microwave oscillators

Москаленко, О. И.; Phrolov, N. S.; Короновский, А. А.; Hramov, Alexander E.

doi:10.1140/epjst/e2013-02038-3

Cited by 18 publications

(5 citation statements)

References 51 publications

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“…It's important to note that when the length of the vircator is less than 5 mm, it may be considered as the micrometer (in dimensions) generator of sub-THz radiation (Siegel et al 2001;Nation et al 2014). Due to its small dimensions, a number of such generators may be connected into an array (see, for example, (Woo et al 1989;Hendricks et al 1990;Sze et al 1990;Dubinov et al 2000;Dubinov and Selemir 2002;Filatov et al 2006;Moskalenko et al 2013)) for the significant increase of integral output power.…”

Section: The Results Of Numerical Investigationmentioning

confidence: 99%

Effect of the electron beam modulation on the sub-THz generation in the vircator with the field-emission cathode

2015

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In this paper, we focus on the numerical investigation of the vircator with a controlling emission from a field-emission cathode. The external harmonic signal is added to the accelerating electric field in the beam formation region and effects on the beam emission process leading to the electron emission modulation. As a consequence, the beam is injected into the drift chamber of the vircator being density-modulated. The strong influence of the modulation parameters (modulation depth and frequency) on the characteristics of virtual cathode oscillations has been discovered. We have shown that the tuning of the modulation frequency to the harmonics of the basic frequency of virtual cathode oscillations leads to the considerable power increase of its higher harmonics in the output spectrum.

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Section: The Results Of Numerical Investigationmentioning

confidence: 99%

Effect of the electron beam modulation on the sub-THz generation in the vircator with the field-emission cathode

2015

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“…The use of complex wavelet basis allows to introduce into consideration the phases φ 1,2 (s, t) = arg W 1,2 (s, t) for any time scale s. The efficiency of the Morlet wavelet function for introduction of the phases of time series of different nature (biological and electromagnetic signals) has been confirmed in the earlier studies [16,25,26,[29][30][31]. If for the selected time scale the phase locking condition…”

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confidence: 85%

Manifestations of intermittency in unidirectionally coupled Pierce diodes on different time scales

et al. 2015

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Intermittent behavior in unidirectionally coupled Pierce diodes being a classical model of spatially extended beam-plasma systems on different time scale is studied. Depending on the value of the strength of coupling between interacting systems and selected time scale, the ring intermittency, the eyelet intermittency or coexistence of both of them are shown to be observed.Keywords Intermittent behavior · Spatially extended systems · Unidirectionally coupled Pierce diodes · Phase synchronization · Time scale · Ring intermittency · Eyelet intermittency · Coexistence of ring and eyelet intermittencies Intermittency is one of the widespread phenomena in nonlinear science [1][2][3][4][5][6][7][8]. It is observed in flow systems, discrete maps and spatially distributed media. It is one of the classical scenarios of the transition to chaos and can also take place near the boundaries of different types of chaotic synchronization [9][10][11][12][13][14][15]. Intermittency manifests itself on the different time scales. In particular, in the phase synchronized flow chaotic systems the ring intermittency is observed on the boundary time scales [16], whereas near the boundary of the phase synchronization depending on the selected time scales the ring intermittency, the eyelet intermittency or coexistence of both types of intermittency mentioned above can take place [17]. Each type of the intermittency is characterized by its own statistical characteristics determined by the mechanisms (which are also different for the distinct intermittencies) resulting in the intermittent dynamics. These statistical characteristics (the distributions of the laminar and turbulent phase lengths calculated for the fixed values of the control parameters, the dependence of the mean length of the laminar phases on the control parameter and/or parameters of analysis) are used frequently to classify the type of intermittent behavior observed in the experimental or theoretical studies.Spatially extended nonlinear systems (including active media, complex networks and living objects) are also known to exhibit intermittent behavior [3,5,6,[18][19][20][21]. At the same time, the most part of known papers is devoted to the consideration of the coupledmap lattices, complex networks or dynamics of spatially distributed active media, whereas transitions from the asynchronous dynamics to different types of chaotic synchronization in such systems have not been studied in detail now. As an exception, one can refer to the papers [14,15] where intermittent phase and generalized synchronization has been studied, with the mechanisms of the synchronous regime arising and statistical characteristics of intermittency being the same as in the case of the systems with a small number of degrees of 123

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“…9(b)-9(d) have quite a similar shape. We quantitatively characterize the bandwidth of the generated signal using the conventional "−3 dB" definition [60][61][62]. In this case the bandwidth f is defined as the difference f = f b2 − f b1 between the upper (f b2 ) and lower (f b1 ) boundary of the frequency range, within which the power density exceeds half of the maximum spectral density, which is observed for the frequency f m .…”

Section: Broadband Generationmentioning

confidence: 99%

Intermittency route to chaos and broadband high-frequency generation in semiconductor superlattice coupled to external resonator

et al. 2015

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Synchronization in the network of chaotic microwave oscillators

Cited by 18 publications

References 51 publications

Effect of the electron beam modulation on the sub-THz generation in the vircator with the field-emission cathode

Effect of the electron beam modulation on the sub-THz generation in the vircator with the field-emission cathode

Manifestations of intermittency in unidirectionally coupled Pierce diodes on different time scales

Intermittency route to chaos and broadband high-frequency generation in semiconductor superlattice coupled to external resonator

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