Chaotic Dynamics of Delayed Feedback Klystron Oscillator and its Control by External Signal

Shigaev, A.M.; Dmitriev, B. S.; Zharkov, Yu. D.; Ryskin, Nikita M.

doi:10.1109/ted.2005.845839

Cited by 43 publications

(29 citation statements)

References 9 publications

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“…With the dynamics of the autonomous klystron generator being in accordance with the numerical simulations of this model [8], the qualitative agreement between experimental and numerical results concerning the behavior of two unidirectionally coupled klystron generators with delay is expected to take place, too. The mathematical form of two coupled gen- (2) and (b) the dependence of the value of the first harmonic of the bunched electron beam current |I1| in the response klystron oscillator on the coupling strength ε.…”

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confidence: 62%

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First Experimental Observation of Generalized Synchronization Phenomena in Microwave Oscillators

et al. 2009

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In this Letter we report for the first time on the experimental observation of the generalized synchronization regime in the microwave electronic systems, namely, in the multicavity klystron generators. A new approach devoted to the generalized synchronization detection has been developed. The experimental observations are in the excellent agreement with the results of numerical simulation. The observed phenomena gives a strong potential for new applications requiring microwave chaotic signals. Chaotic synchronization is one of the fundamental phenomena, widely studied recently, having both theoretical and applied significance [1]. One of the interesting and intricate types of the synchronous behavior of unidirectionally coupled chaotic oscillators is the generalized synchronization (GS) [2,3], which means the presence a functional relation between the dynamics of the drive and response chaotic systems, though this relation may be very complicated and its explicit form cannot be found in most cases. Remarkably, that practically all studies of the generalized synchronization phenomenon deal with the low-dimensional model systems or the low frequency oscillators. Even if generalized synchronization in lasers is studied, the oscillations of the total intensity of the laser output are usually considered whose frequency is in the megahertz range, with the oscillator dynamics being described by the system of the ordinary differential equations [4]. The more complicated objects with the infinite dimensional phase space (such as spatially extended systems (see, e.g., [5]) or oscillators with the delayed feedback) are considered from the point of view of generalized synchronization rarely, and, practically always, numerically.In this Letter we report for the first time on the experimental revelation of generalized synchronization in the microwave systems with the infinite dimensional phase space, namely, in the multicavity klystron oscillators with the delayed feedback. Along with the theoretical interest this study is also important from the point of view of the practical purposes of communication, where the microwave range signals are used very widely.To detect the onset of generalized synchronization in the experiment a new approach being applicable to the microwave systems has been developed. Actually, there are various techniques for detecting the presence of GS between chaotic oscillators, such as the method of nearest neighbors [6] or the auxiliary system approach [2]. It is also possible to calculate the conditional Lyapunov exponents [7] to reveal the generalized synchronization regime. Unfortunately, these approaches are often difficult (or impossible) to implement in the experimental measurements (specifically, in the microwave range), due to the presence of noise and lack of the precisions. Therefore, in this Letter we propose the radically different approach which may deal with the chaotic oscillators of the microwave range to detect experimentally the onset of the generalized synchronization regime. Moreove...

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confidence: 62%

“…1. We use the S-band five-cavity floating-drift klystron amplifier with the delayed feedback [8] To detect the onset of the GS regime we propose to analyze the power spectra of chaotic oscillations being one of the important characteristics of the system dynamics. Additionally, they are easily obtained in the experiments.…”

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confidence: 99%

First Experimental Observation of Generalized Synchronization Phenomena in Microwave Oscillators

et al. 2009

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“…9 with laser and in Ref. 27 with klystron, respectively, requires only one transmitter oscillator while a receiver contains an amplifier in an open-loop configuration that is driven by the chaotic signal from the transmitter to obtain a synchronous chaotic response.…”

Section: Experimental Investigation Of Signal Encoding and Decodingmentioning

confidence: 99%

Generation of chaotic radiation in a driven traveling wave tube amplifier with time-delayed feedback

et al. 2006

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The application of chaos in communications and radar offers new and interesting possibilities. This article describes investigations on the generation of chaos in a traveling wave tube ͑TWT͒ amplifier and the experimental parameters responsible for sustaining stable chaos. Chaos is generated in a TWT amplifier when it is made to operate in a highly nonlinear regime by recirculating a fraction of the TWT output power back to the input in a delayed feedback configuration. A driver wave provides a constant external force to the system making it behave like a forced nonlinear oscillator. The effects of the feedback bandwidth, intensity, and phase are described. The study illuminates the different transitions to chaos and the effect of parameters such as the frequency and intensity of the driver wave. The detuning frequency, i.e., difference frequency between the driver wave and the natural oscillation of the system, has been identified as being an important physical parameter for controlling evolution to chaos. Among the observed routes to chaos, besides the more common period doubling, a new route called loss of frequency locking occurs when the driving frequency is adjacent to a natural oscillation mode. The feedback bandwidth controls the nonlinear dynamics of the system, particularly the number of natural oscillation modes. A computational model has been developed to simulate the experiments and reasonably good agreement is obtained between them.Experiments are described that demonstrate the feasibility of chaotic communications using two TWTs, where one is operated as a driven chaotic oscillator and the other as a time-delayed, open-loop amplifier.

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“…If we assume that the absolute values of the coefficients of operating-mode reflection from the horn in a beam-free system, which are calculated by Eqs. (2) and (3), do not differ by more than 0.1, then C ≈ 0.5.…”

Section: Statement Of the Problemmentioning

confidence: 92%

“…Although such signals were previously assumed parasitic, now it is possible to use them and purposeful theoretical and experimental studies are carried out to obtain complex and chaotic signals with high average efficiency and specified spectral properties [1][2][3][4]. To study distributed systems of the electron-wave nature such as backward-wave oscillators, gyrotrons, and oscillators with delayed feedback on the basis of BWOs and klystrons, it is promising to use the concepts and methods of nonlinear dynamics.…”

Section: Introductionmentioning

confidence: 99%

Chaos and hyperchaos in a gyrotron

Blokhina

Rozhnev

2006

Radiophys Quantum Electron

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We study oscillation in a gyrotron with allowance for reflections from an output horn. Regions with different system behaviors, such as stationary oscillation, self-modulation, and complexdynamics regimes are found in the parameter plane. The scenarios of appearance of chaotic oscillations are considered. It is shown that they can emerge via either a sequence of perioddoubling bifurcations or destruction of quasiperiodic motion. For chaotic attractors, Lyapunov exponents are calculated and their dimensions are estimated on the basis of the Kaplan-Yorke formula. The dimension values turn out to be anomalously large, which is stipulated by the presence of a large number of high-Q eigenmodes in the gyrotron cavity due to operation near the cutoff frequency of an electrodynamic system.

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Chaotic Dynamics of Delayed Feedback Klystron Oscillator and its Control by External Signal

Cited by 43 publications

References 9 publications

First Experimental Observation of Generalized Synchronization Phenomena in Microwave Oscillators

First Experimental Observation of Generalized Synchronization Phenomena in Microwave Oscillators

Generation of chaotic radiation in a driven traveling wave tube amplifier with time-delayed feedback

Chaos and hyperchaos in a gyrotron

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