High-dimensional chaos in a gyrotron

被引：15
|
作者：
Blokhina, Elena V. [1 ]
Kuznetsov, Sergey P.
Rozhnev, Andrey G.
机构：
[1] Saratov NG Chernyshevskii State Univ, Saratov 410012, Russia
[2] Russian Acad Sci, Inst Radio Engn & Elect, Saratov 410019, Russia
来源：
IEEE TRANSACTIONS ON ELECTRON DEVICES | 2007年 / 54卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
chaos; dimension; gyrotron; Lyapunov exponent; reflections; self-modulation;
D O I：
10.1109/TED.2006.888757
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
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.
引用
收藏
页码：188 / 193
页数：6
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