SCIENTIFIC ABSTRACT ZHELEZOVSKIY, B.YE. - ZHELIAZKOV, T.
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CIA-RDP86-00513R002064710004-7
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S
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100
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Publication Date:
December 31, 1967
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SCIENTIFIC ABSTRACT
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I-111MA&
ACC NRs AR60162" SOURCE CODE: vB/oO58/65/000/Oll/HD28/W28
AUTHOR: Zhelezovnh~z Ye.
TITIZ: Certain problem in the theory of parametric traveling-wave and backward-v&ve
amplifiers
'Fizika
AOUACE.o Ref. zh. Amr. llzh193
'CHEF SOURCE:-!'Sb** Vopr. elektron. averkhvysok. chastot. Vyp. I. Saratov,,. Samtgvsk.
~19~4 P-T-34
TOPIC TAGS: -traveling.wave amplifier, backward wave amplifier, parametric amplifier$.
Poisson equationo~electron motion, transmission line, traveling wave interaction
~ABSTRACt: The-method of coupled waves of J. R. Pierce (Traveling Wave Tubes, Van.
ers
Lifi
1,Nostrand, 1950) is developed for the analysis of parametric ifiers peiating in
the nondegenerate mode (wp ~ NO) . A system of - differenti4l ations Is obtained by
simultaneously solving the equations of motion and continuity of the charge, the
Poisson equation, and the equation of the long line. Assuming that under certain con-
ditiona one can neglect the interaction with the fast or slow space-cbarge, wave, we
can lower the order of the characteristic determinant of this system and calculate
the gain under the conditions when the interaction is respectively only with the slow
or only with the fast wave. A procedure for calculating the gain is presented. G. M. 7
[Translation of abstract]
CODE:
091
Card
ACC Ngi AR6015866 SOURCE CODE1 UR/0275/65/000/012/AO23/AO23
.AUTHOR:1 Zhelezovskly, B. Ye.
TITLE: Some aspects in the theory of parametric TWT- and- BWT-Umplifters
~SOURCE: Rd* zh, Elektronika I yeye primeneniye, Abs. 12A158
REP SOURCE: Bb. Vopr. elektrond overkhvysok. chastot. Vyp. 1. Saratov. Saratovsk.- un-t,"k
.1964l 27-34
TOPIC TAGS: traveling wave tube, back-ward wave tube, electronic amplifier, parametric
amplifier
ABSTRACT: A description Is given of a method which makes it possible to simplify the prob-
lem'of the analysis of the parametric interactions of an electron flow with a moderating TWT
(traveling-wave tube) system which Is based on the theory of a bound Pearce wave. A Joint
Solution of the equations of motion, continuity of the charge, Poisson, and the long line led to
a system of differential equations of the -sbrth order. Assuming that under certain conditions
It Is possible to disregard the Interaction of the -space charge with a fast or a slow wave, it
to possible to decrease the order of this system and to calculate the amplification factor, .
providing the Interaction takes place only with a slow or a fast wave, respectively. A method
XDC: 621.385.
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SOVI 1121-57-9 -19810
Translation from'. Ref er.ativnyy zhurnal, Elektrotekhnika, 1957, Nr 9, p Z69 (USSR)
AUTHOR: -Alekse 'Zheleztso Klibanova, I. M.
yev, A S.,
TITLE; Multivibrator Synchronization by Periodically -Recurrent Pulses
(0 sinkhronizats H mull tivibratora periodicheski povtoryayushchimiaya
impullsami)
PERIODICAL: Uch. zap. Gorlkovsk. un-t, 1956, Nr 30, pp 206-228.
ABSTRACT: By the method, of point transformations, the problem was investigated
of synchronizi g.a*ml.4#vib_
in rator with one RG circuit by periodically-recurrent
pulses, the duration of which Is much shorter than the period of the multi-
vibrator oscillations. As a result ofthe analysis, a part of the system
parameter space was broken up into regions of various periodic motions.. It
has been shown that Oong With regions of simple synchronization, there are
regions of various cc?mplex types of synchronization in the parametric space.
For each of the parametric space regions, the problem was solved of the
quantity, shape, and stability of simple and complex periodic (synchronized)
Card 1/2
SOVI 112-57-9-19810
Multivibrator Synchronization by Periodically-Recurrent Pulses
~4nultivibrator o cillations~ The theoretical findings were subjected to a
-qualitative. experimental . check on a multivibrator hookup -To synchronize the
multivibrator, square pulses with variable period and amplitude were used.
During the experimentation, simple as well as complicated stable synchroniza-
tion conditions were observed. The exp er imentally -found curves qualitatively
confirm the theoretical curves. Presented are oscillograms of multivibrator
:self -oscillations and of simple synchronized oscillations in the intervals of
which there fan 5 and 15 periods of external pulses, respectively. As pulse
amplitude increased, more 'complicated stable synchronizing conditions
changed into less complicated, in the sequence predicted by the theory.
Oscillograms of complicated synchronized multivibrator oscillations are
presented.
N.A. T.
AUTHORIa WAO
WM9 VI
TITLEs On. *~.Opera ion of a Symmetrical Ilultivibratoro
(0 rezhimakh raboty' iimmetrichnogo mulltivibratora-t Russian)
PERIODICAM Radiotekhnika i Folektronika, 1957# ~ol 2j Nr 6, Pp 751 761
ABSTRACTs The-model of a: trical vibratoris Investigatede The
parasitic,capacities and the line currents are taken into,:
account,,and a characteristic of the anode current without
Saturation:.ia:assumed. This gives a diagram of the de-
struction of the phase space of trajectories irhioh differs
..substantially fromhhitherto published diagrams. By an approxi-
mate method for-the dastruction of a multi-dimonsional phase
space into subspaoes of motion of various orders of magni-
by the method of point transformations it is demon-,
here that three anodes of operation are possibles
1) both tubes are.closed, 2) "rigid" operation of the self-
oscillational.and 3) "soft" operation of the self-oacillations.
Hitherto the opinion was hold that self-osaillation is
disturbed in the case of a negative shift of network greater
terminal voltage. Here itis proved that in the
Card 1/2; level an entire region exists where that is not
06516 SOV/141-58-1-6/14
AUTHOR:
1ITLE:_ Theory.of Relaxation Oscillations in the Second-Order System
PERIODICAL: Izvestiya vyashikh uchebnykh zavedeniy, Radiofizika,
pp 67-?8 (USSR)
ABSTRACT:,, An autonomous dynamic system of the second order is con-
sidered. The behaviour of the'system is described by the
differential equations.'of..the type:
III ~F(x, 'y),y G(x, y)
where IL is a. positive small parameter (see Refs 1-3).
is assumed that TU, Y).. :and G(x y) are continuous funct-
ions having.continuous partial derivatives, and that the-phase
plane of the system is the standard-x, y plane. The mapping
of the phase plane by.means of the trajectories of the system
for small values of the positive parameter ~L is represented
by Eq (2); also, a curve F is constructed in the phase plane.
The curve is described by Eq (3) and represents the phase line
of a degenerate system; it is a system which is obtained when
Card.1/4
HF;1491091 trill V PIRUP11,I"TPH,
06516 SOV/141-58-1-6/14
...Thaory~,of Relaxation Oscillations in the Second Order System
IL - 0 0 Further., it.-is assumed that in the points de te--
mined by F thepartial derivatives of the function F(x,
are notsimultaneously zero.. From Eqs (1) it follows that
for IL->+-O the phase velocity of the transformation point
is limited only in the vicinity of the curve F Conver-
mit,outside the immediate vici ity of the curve, the trans
s:rly n
I on point can have an ajbitrarily large velocity. If
the curve F has segments F and segments F- and the
sign,of. F(x$ y) is opposite -to the sign of x* 'and if
the transformation point slowly moves along F+ and reaches
a point A the point then "avalanches" intothe region of
high velocities and moves stepwise along the trajectory
y - const until it returns to the line of slow motion F
The process is illustrated in Figs 1 which show the limit
cycles of a relaxation system. The cycles are represented
by closed curves which consist of the segments of the slow-
motion trajectories and segments of the fast-motion traject-
ories, or jumps ( y - const );,the curves are "traced" by the
point periodically. The existence of the limit cycle is
demonstrated in a theorem which states that In a sufficiently
near vicinity of the relaxation limit cycle (C ) there
0
-Card 2/4 .sexists a,unique and stable limit cycle of the system (as
06516 SOY/141-58-1-6/14
Theory of Relaxation Oscillations in the Second Order System
represented,by,EcLs (1)), provided the positive parameter A
id sufficiently small. 'Further, it is shown that if F(xf Y)I
G(xj y) and their derivatives FI: 0 F1 and GI are con-
y y
tinuous functions and if Eqs (1) have a relaxation limit
'cycle (C ) whose "breakdown" points have PI j 0 and
0 y
F~~ 4 -- 0$ the system has a unique and stable limit cycle
lying in O(V"5)-vicinity of the relaxation limit.eyele (C
0)1
provided the.parameter --p is sufficiently small. The theorem
permits the application of the relaxation limit cycle of Eqs
(1) as the zero approximation to the evaluation of the relaxat-
ion, characteristics of the oscillations in the system.. The
Card 3/4
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