Plasma/electromagnetic field interaction and chaos

Lindsay, P. A.; Chen, X.; Xu, Min

doi:10.1080/00207219508926265

Cited by 16 publications

(16 citation statements)

References 8 publications

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“…Pierce diode [42][43][44] is one of the simple spatially extended beam-plasma systems demonstrating chaotic dynamics [43][44][45][46]48,50]. It consists of two infinite parallel plains pierced by a mono-energetic electron beam (Fig.…”

Section: General Formalismmentioning

confidence: 99%

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Chaotic synchronization in coupled spatially extended beam–plasma systems

2006

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The appearance of the chaotic synchronization regimes has been discovered for the coupled spatially extended beam-plasma Pierce systems. The coupling was introduced only on the right bound of each subsystem. It has been shown that with coupling increase the spatially extended beam-plasma systems show the transition from asynchronous behavior to the phase synchronization and then to the complete synchronization regime. For the consideration of the chaotic synchronization we used the concept of time scale synchronization described in work [Chaos, 14, 3 (2004) 603-610] and based on the introduction of the continuous set of phases of chaotic signal. In case of unidirectional coupling the generalized synchronization regime has been observed in the spatially extended beam-plasma systems. The generalized synchronization appearance mechanism has been analyzed by means of the offered modified system approach [Phys. Rev. E, 71, 6 (2005) 067201].

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Section: General Formalismmentioning

confidence: 99%

“…The present paper deals with research of chaotic synchronization in coupled beam-plasma microwave systems with overcritical current -Pierce diode fluid models [42][43][44], which seems to be interesting as an important model of beamplasma systems showing various types of chaotic behavior [43][44][45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Chaotic synchronization in coupled spatially extended beam–plasma systems

2006

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“…A system like this, in which the electron motion is thought of as being one-dimensional, can be regarded as a model of the drift space and can also serve to investigate the nonlinear dynamics of the processes in such high-power electronic devices as vircators [29]. In recent years, a model of this type has also attracted attention as one of the simplest models of a distributed self-oscillating electron-plasma system for studying stochastic oscillations [17,26,[29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Experimental and theoretical investigations of stochastic oscillatory phenomena in a nonrelativistic electron beam with a virtual cathode

et al. 2005

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-Results are presented from experimental investigations of oscillatory phenomena in an electron beam with a virtual cathode in a diode gap with a decelerating field. Experiments have revealed a stochastic broadband generation of the microwave oscillations of a virtual cathode in a decelerating field. Numerical simulations based on a simple one-dimensional model have shown that the onset of the stochastic generation and the broadening of the oscillation spectrum with increasing beam deceleration rate are governed by the processes of regrouping of the electrons in a beam with a virtual cathode.

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“…Pierce diode is one of the classical models of plasma microwave electronics [1][2][3][4][5][6][7][8][9]. This distributed model though is rather simple, demonstrates many features of the electron beam dynamics in different real electron devices.…”

Section: Introductionmentioning

confidence: 99%

“…In this case the system may be described by fluid equations. It was also shown that in a narrow range of Pierce parameter the system may represent chaotic dynamics [4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the complex dynamics and regime control in Pierce diode with the delay feedback

Hramov

Rempen

2004

International Journal of Electronics

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In this paper the dynamics of Pierce diode with overcritical current under the influence of delay feedback is investigated. The system without feedback demonstrates complex behaviour including chaotic regimes. The possibility of oscillation regime control depending on the delay feedback parameter values is shown. Also the paper describes construction of a finite-dimensional model of electron beam behaviour, which is based on the Galerkin approximation by linear modes expansion. The dynamics of the model is close to the one given by the distributed model.

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Plasma/electromagnetic field interaction and chaos

Cited by 16 publications

References 8 publications

Chaotic synchronization in coupled spatially extended beam–plasma systems

Chaotic synchronization in coupled spatially extended beam–plasma systems

Experimental and theoretical investigations of stochastic oscillatory phenomena in a nonrelativistic electron beam with a virtual cathode

Investigation of the complex dynamics and regime control in Pierce diode with the delay feedback

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