Nonlinear Phenomena in Complex Systems, 2003, Vol.6, No.2, pp.687-695

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2003, Vol.6, No.2, pp.687-695

Investigation of Complex Dynamics and Regime Control in Pierce Diode with Delay Feedback
A.E. Hramov, A.A. Koronovskii, and I.S. Rempen

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.
Key words: chaos, nonlinear dynamics of distributed systems, pattern formation, Pierce diode

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