CHAOTIC DYNAMICS OF RELATIVISTIC BACKWARD-WAVE TUBE WITH ACCOUNTING FOR SPACE CHARGE FIELD AND DISSIPATION EFFECTS: NEW EFFECTS
Journal Title: Фотоэлекторника - Year 2018, Vol 27, Issue
Abstract
We have performed an advanced modelling nonlinear dynamics elements for relativistic backward-wave tube (RBWT) with accounting for dissipation and space charge field effects etc. The temporal dependences of the normalized field amplitude (power) in a wide range of variation of the controlling parameters (electric length of an interaction space N, bifurcation parameter L and relativistic factor γ0) are computed. The dynamic and topological invariants of the RBWT dynamics in auto-modulation and chaotic regimes such as correlation dimensions values, embedding, Kaplan-York dimensions, Lyapunov’s exponents, Kolmogorov entropy etc are calculated. It has been discovered the "beak" effect on the plane of parameters: bifurcation Piers-like parameter L – relativistic factor γ0.
Authors and Affiliations
A. V. Glushkov, A. Tsudik, D. Novak, O. Dubrovsky
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