Title :
High Dimension Chaotic Attractors in Gyrotron with Non-Fixed Field Structure
Author :
Blokhina, E.V. ; Rozhnev, A.G.
Author_Institution :
Saratov State Univ.
Abstract :
In this paper we discuss results of numerical investigation of chaotic dynamics in Gyrotron with non-fixed field structure. We compute Lyapunov exponents for chaotic attractors and estimate their dimensions on the base of Kaplan-Yorke formula. Dimension values are found to be anomalously high and we correlate this result with the presence of large number of high-Q eigenmodes in gyrotron resonator due to operation near the cutoff frequency
Keywords :
chaos; gyrotrons; Kaplan-Yorke formula; Lyapunov exponents; chaotic dynamics numerical investigation; cutoff frequency; gyrotron resonator; high dimension chaotic attractors; high-Q eigenmodes; nonfixed field structure; Boundary conditions; Chaos; Cutoff frequency; Electromagnetic fields; Electrons; Equations; Frequency estimation; Gyrotrons; Mathematical model; Reflection; Gyrotron; Lyapunov dimension of chaotic attractor; chaos;
Conference_Titel :
Vacuum Electronics Conference, 2006 held Jointly with 2006 IEEE International Vacuum Electron Sources., IEEE International
Conference_Location :
Monterey, CA
Print_ISBN :
1-4244-0108-9
DOI :
10.1109/IVELEC.2006.1666416
