A mechanism for the transition to chaos in the system of an electron beam and an electromagnetic wave
Abstract
A study of the mechanism for the transition to many-body chaos in a system consisting of a length of an electrodynamic transmission line penetrated by an electron beam is presented. The mechanism exhibits features of the Landau picture of the transition to turbulence and features of the Feigenbaum period-doubling bifurcation mechanism characteristic of few-mode systems. The statistics of the signal in regimes with an extended continuous spectrum is nearly Gaussian.
- Publication:
-
ZhETF Pisma Redaktsiiu
- Pub Date:
- April 1983
- Bibcode:
- 1983ZhPmR..37..387A
- Keywords:
-
- Chaos;
- Electromagnetic Interactions;
- Electron Beams;
- Signal Analysis;
- Spectrum Analysis;
- Stochastic Processes;
- Turbulence Effects;
- Branching (Mathematics);
- Electromagnetic Fields;
- Modal Response;
- Period Doubling;
- Periodic Variations;
- Transition Probabilities;
- Transmission Lines;
- Electronics and Electrical Engineering