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

2004/01/01 by Alexander E. Hramov, Irene S. Rempen, I. S. Rempen · 1 citation
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #nlin.AO #nlin.CD #physics.plasm-ph #stochastic dynamics and bifurcation

paper · pdf · doi:10.1080/00207210310001658932

published as Int. J. Electronics. 91, 1 (2004) 1-12 · 18 pages, 6 figures, published in Int. J. Electronics. 91, 1 (2004) 1-12

openalex publication_date 2004/01/01 · arxiv created 2005/04/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

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.

Citations

• Determining Lyapunov exponents from a time series

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