P1–16: Generation of hyperbolic chaos in the system of coupled klystrons

Author

Emel´yanov, Valeriy V. ; Kuznetsov, S.P. ; Ryskin, N.M.

Author_Institution

Saratov State Univ., Saratov, Russia

fYear

2010

fDate

18-20 May 2010

Firstpage

131

Lastpage

132

Abstract

A schematic of the generator of hyperbolic chaos in the microwave band consisting of two klystrons coupled in a ring circuit is proposed. The first klystron doubles the frequency of the input signal. The second klystron mixes the second harmonic of signal with the reference signal that is a periodic sequence of pulses with third harmonic carrier frequency. In the output cavity of second klystron the signal on the differential frequency is separated. As a result, the transformation of the phase of signal for the period of following of pulses of the reference signal is described by the chaotic Bernoulli map. The results of numerical simulation show that generation of structurally stable hyperbolic chaos is possible.

Keywords

chaos; harmonics; klystrons; numerical analysis; chaotic Bernoulli map; coupled klystrons; differential frequency; harmonic carrier frequency; hyperbolic chaos; microwave band; numerical simulation; output cavity; ring circuit; signal harmonics; signal phase; Chaos; Chaotic communication; Coupling circuits; Frequency; Klystrons; Mathematical model; Microwave bands; Microwave generation; Microwave oscillators; Spread spectrum radar; Bernoulli map; Lyapunov exponent; delayed feedback; hyperbolic chaos; klystron;

fLanguage

English

Publisher

ieee

Conference_Titel

Vacuum Electronics Conference (IVEC), 2010 IEEE International

Conference_Location

Monterey, CA

Print_ISBN

978-1-4244-7098-3

Type

conf

DOI

10.1109/IVELEC.2010.5503567

Filename

5503567