High-Dimensional Chaos in a Gyrotron

Author

Blokhina, Elena V. ; Kuznetsov, Sergey P. ; Rozhnev, Andrey G.

Author_Institution

Saratov State Univ.

Volume

54

Issue

2

fYear

2007

Firstpage

188

Lastpage

193

Abstract

In this paper, nonstationary and chaotic dynamics of a gyrotron with a nonfixed field structure have been studied. We discuss the mechanism of transition to self-modulation and chaotic oscillations and present the plane of parameters with different kinds of regimes in a gyrotron. For chaotic attractors, the set of Lyapunov exponents has been calculated. We have estimated the dimensions of chaotic attractors from the Kaplan-Yorke formula and found it to be anomalously high. The explanation of this fact is based on the presence of a large number of high-Q eigenmodes in the gyrotron resonator operating near a critical frequency of the electrodynamic system

Keywords

Lyapunov matrix equations; gyrotrons; nonlinear dynamical systems; Kaplan-Yorke formula; chaotic attractors; chaotic oscillations; gyrotron resonator; high-Q eigenmodes; high-dimensional chaos; nonfixed field structure; Chaos; Delay; Electrodynamics; Feedback; Frequency; Gyrotrons; Nonlinear dynamical systems; Numerical simulation; Oscillators; Reflection; Chaos; Lyapunov exponent; dimension; gyrotron; reflections; self-modulation;

fLanguage

English

Journal_Title

Electron Devices, IEEE Transactions on

Publisher

ieee

ISSN

0018-9383

Type

jour

DOI

10.1109/TED.2006.888757

Filename

4067172