SCIENTIFIC ABSTRACT AYENBERG, D. Y. - AYZERMAN, M. A.

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• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

A'rzlNfkm, D.Te. [Ayzen4erg. D.M.]
Sedimentary complexes in the lowor Carboniferous of the
Greater
Donets Basin, Geole zhur. 17 no.-h.-51-59 157. (MIR& 11:
4)
(Donets Banin-Rooks, tedimantary)

Note c,n the Correlation of the Lower CarbonIfeirous
of the Donets Basin and Other Itegions. of the Husaiian
Plfitfcirm,
,the Os.*=-Khovansk and Bisfer 1-Aytrt - low4ir ;arts of the
Halsv
massif), For this the devignatil?n Novotroittkiy is proposed. In
the Chernyshin lower zone it is prpo3ed, to distinguish the
Cht~spets
horizon in the range of the zono C,,.c and of the lower part of
C d
V
of the Denets basin or of the Chern3nihin masatr of the Mosoow.
region
and the Chilaaan-~wrizon kocordirg to NJ, MAlakhova.
Within the Stalino,vorsk horizon threo massifs can be separated
(from
the top) Lunlyev, 011gin and the carboniforous, The authors
propose)
t4 separate from the upper part of the -lower carbon in the sub
zone
Cn a and in the sones On b, C n i%. and.Gnd an flupper BESIMV
sub zone
IL2 1 1 1
of the VISE zone. (There sre 14 31avic references and 1 table).
FUSENTIM. By N. M. Strakhov,, Academician.., *rch 4o 1957.
SUBMITT11, Ju1Y 16, 1956.
AVAILKBIE Library of Congress.
Card 2/2
3(5) PHASE I BOOK EXPLOITATION SOV/1938
Ayzenve:7g, David Yefemovich
Stratigrafiya I paleogeograftya nizhnego, karbona zapadnogo
sektora
Bollchogo Donbassa (Stratigraphy and Paleogeogjaphy of the Lower
Carboniferous of the Western Sector of the Great Donets Basin)
Kiev, Izd-vo AN USSR, 1958. 270 P. (Series: lot ussil. Institut
geologicheskikh nauk. Trudy) seriya 3tratigrafil. i
pitleontologii,
vyp. 16) Errata slip inserted. 1,500 copies prInted.
Sponsoring Agency: Akademiya nauk Ukrainskoy SSR, Kiev. Institut
geologicheSkikh nauk.
Resp. Ed.:, N.Ye. Brazhnikova,. Candidate of Geological and
Mineralogi-
cal Sciences; Ed. of Publishing Houset V.N. ZaviryukhIna; Tech.
Ed.: V.ye. Sklyarova.
PURPOSE: This book is intended for geolcigists interested in the
exploration and study of the Carboniferous sediments of' the
oreater
Donets Basin.
Card 1/5

Stratigraphy and Paleogeography (Cont.) SOV/1938
O.A. Kullskaya, and analysts Ye.S. Nazarevich and O.F.
Vdovenko.
Photographic work was performed by V.P. Burilov and V.N.
Villken
of the Photographle Laboratory of the Inatitut
geologicheskikh
nauk AN UkrSSR. There are 31 photographic platee- included
with
the work. There Exe 174 :,.-eferences of which VTO are
Soviet,, and
4 French.
TABLE OF CONTEYrs:
Foreword
I. A Brief Review of Prior Studies
3
7
II. Certain Problems In the Methodology of StudieL,3 12
III. Stratigraphy and Facies 19
1. General stratigraphic, plan 19
2. The Buzinovskiy sedimentary complex (C,B!B) 21
Donbass. The northern flank of the,Ukrainian
Card 3/5

Stratigraphy and Paleogeography (Cont.) SOIT/1938
IV. The gain. Features of the Paleogeography and Cleological
History 192
Bibliography 203
Tables I-XXXI 209
AVAILA33LE: Library of Congress
MK/j ab
Card 5/5 6/0/59

ATZE,"WERG, D.Ye. L.L geolog: 3A.LUICHOVSKIT, N.F. ,
goolog; BARMSIDWSKIT, V.I..
gaolog; BASS, Tu.B., goolog; VADIIJDV, N.T., getolog;
GLILDKIr. V.Ta.,
goolng; DIDI'OVSKIY, V.Ya.. goolog; YERSHOV, V.A. ,
geolag-, ZMMOV.
G.V., goolog; ZA?4)RIY, P.K., gnolov; IVANTISHIN. M.N.,
goolog;
KAPThM,,lKo-CTlERl;DUSOVA, O.K., genl5g; KLIMEM, V.Ya.,
geolog;
nUSaIW, V.I., geolog; KLYUSHNIKOV, M.N., goolog-,
KRkSHllNIlJAlXOVA,
O.V,, geolog: KUTSYRA. A.M., goolo,-; UPOOK, Y.Ye.,
gnolog;
LICHAK, I.L.. goolog; MAICIEHINA, A.A., goolog;
YArVITHNKO, To.H.,
goolog; 14PADY11A, V.S.. goolog; WLTAVKO, G.I., geoLog;
H&TDIN,
D.P., gnolog; NDVIK, TeX, goolog; MIA)VKOt I.K.,
gOOlDg-, RODIONOV,
S.P., goolog; SMICITENKO, N.P., skadonik, gaolog;
ISNRGETSV, A.D.,
gonlog; SIROSHTAN. R.1., goolop; SLAVIN, V.I., gmi)log-.
SUKHAEMVICH.
P.P., g"nlng; TKACHUIL, L.G., goolog; USHNKO, I.S.,,
goolog; USTI-
I*I)VSKIY. Yu.'3.i goolog; TSAROTSKIT, I.D., rmolog-,
SIMIGA, P.L..
goolng; YURK, Yu.Yu.. goolog; TA?4NlCHZNKO, I.M.,
geolog; AlITHOPOVt
P.Ta.. glavn:~y redaktor; FILIPFOVA, B.S., rod. W-va-,
G"MVA,
O.A., tokhn.!~md.
[Gonlory of the U.S.S.R.] Geologiin SSSR. Glav. re.d.
P.I:A.Antropov.
lol.5.[Ukralnian S.S.R., Moldavian S.S.R.] . .
Ukrainskata SSR,
Moldavskaia SSR. Red. V.A. Evilinv. N.P. Somanenko.
Pt.l..LGoological
description of the pla.tform area] Goolorichoskoe
op,sanle platfor-
mannoi chanti. ~bnkva,, Gnii. muchn)-takhn.i2d-vo lit-ry
po gool. i
okhrarts nodr. 1958. 1.000 p. [ 3upplamontl Prilnzhmnlia.
-TC,)ntinued on -next card.)

AMINERG, D.Ye.-(continund) Card 2.
3 fold.mps (in portfolio) (14IRA 12:1)
1. Rnsela (19~>3- U.S.S.R.) Glamiye upravleniye geologit i
okhrany nedr. 2. Ukrainskoye geni.ogicheskoye upravlentye
Mininterstva geologii i okhrazW netIr SSSR i Institut
geologicbeskikh
nauk Akademii nniikJS:3R (for all emept Antropov,
Filippova, Gurova).
I.Gla-.,rqy genlog Ukrainakogo geologic'neskolpo
uprairleniya (for Terabov).
4. All Ukrainskoy SSR (for Semenenkc.).
Nkraine-Geolocr) (Moldavia-0eology)

AUTHORs __Ay~z e rIss D. Yo. 21-58-5-24/28
TITLEr On Graptolite Remains in the Lower Carboniferous
Deposits
of the Oreat 'Donbas (Ob otitatkakh graptolitoir v nizhnem
karbone Boltshogo Donbassii)
PERIODICALs Dopovidi Akademii nauk Ukrains~koi RSR,
1958,, Nr 5,
PP 562-564 (USSR)
ABSTRACTs During the study of-the fec.una and
stratigraphy of the Lower
Carboniferous deposits in the western extension of the
Don-
bas, the author discovered remains of dondritic graptoli-
tee related, according to modern concep,lo,to the class of
DendrDidea. Judging by literature data, no remains of this
fauna have thus-far been known in the Curboniferous depo-
sits of the USSR. The specimen describod was found in the
sedimints of Visean otage (analogues of the subzone 01glin
the Donbas). Its precise identification is not possible
becaui3e of incomplete preservation. Itei relation to the
genus Ptiograptus Ruedemann is most probable. Representa-
tives of this genus are known in the Devonian deposits of
Card 1/2 the USA and Lower Visean of Belgium. There is I
Photo and

AMITURG, D.Te.; 33RAZMTIYCOVA, X.Te.
6
Stratigraphy of tho lower part of the lower
Carboniferous in the
western sector of the Greater Donets -%ein. Tridy
VICIGNI no.14:
156-168 159. (KIRA 12:10)
I.Institut geologioheskikh nauk AN USSR.
(DDnetv Basin-Geology, Stratij,,Taphic)

ATIZ~q~,Dje,--J.skizenverj-, D.I1.3; BAWNOYA, N.M.;
VIMLICH, X.F.;
GCLTAK, L.11, CHollsk, L.H.3; GMK, S.V. [Kozak, S.V.1;
DIDEMKIY, V.ya. LDIdkovs'k7i. V.L9.1; ZELINSKAYA, V.0.
(Zelinalka, V.0j; ZXMMSKIT, B.F. (2ernetslkyi, B.F.];
KAMARENKO-CHERNOWSOVA, O.K.; KRAIWA. Ye.Ye. [Kraieve,
KRAMMINIIIKOVA, 0.1r:;,KUTSIBA, A.M,,; LAPCHIK, T.Yu.;
KWREMO,
D.Ye.; MCL7AVXO, G.:I Noliavko. Ii.X.J; MMIKR. A.M.;
PAVERnK,
S.I.; PWMAKOV, V.1%; ROMODAIIOVA, A.P.; ROMM, R.N.; MAVIN,
V.I,;
3MCL&SKIT, I.L.; DDROCHAN, O.A.:, IMARRYAY, 'T.T,,,-
TKACHENKO. T.O.;
SMIGA, P.L. [Shullljttm, P.L.], dol:tor
geol.-ra~neral.nauk; YAHNICHMO,
I.X,. ElAmnycbenko, BONDARCOX, V.G. [Bondeirchuk, Y.HA,
akade-
mik, otv.red.,
[Atlas of Imileogeogrophical maps cf the Ukraix~.iori and
Holdavian
S.S.R. with lithofacieu elements. Scale 1:2,50,COOI Atlas
Paleo-
geografichn3rkh kBrt Ukrainalkoi i Koldavalkoi M z
elementamy
litofetsii. Kasahtab 1:2,500,000. Sklely D.18. Aizenverg i
dr.
Za zahalinym kerivnvtrtvom V.N.Bonlarchukn. lyiv, 1960.
xvi p.,
78 Col-maPs. (MIRA 13:12)
1. AkDdemiyu nauk USSR, Xiyev. In~ititut geologicheskikh
neuk.
2. Institut geologichnskikh nauk Ali USSR (for all, except
Bondarchuk.
Pasternak. Slavin). :3. Instytut gpologii koryanylch
kopalyn AN URSR
(for Pasternak). 4. Hoakovskly rotm&tratveunyj univernitet
im.
lomonosova (for Slavim).
(Ukraine--P,aleogeog2-itph.v--Yops)
(Holdavia--PAtleogeography--gaps)

WNAY3VA) Nataliya NikolayeVIUL [Dtmaieva, V.H. b
umm".ye,
doktor geol.-qmineral.,raukg otv.red,; CHEKHOVICII,
V.Ya., red.;
LIBERMAN, T.R.v tekhti.red.
[Upper Carboniferous tioss animals of the western
Dc)nets Basin]
Verkluilokemlianovuhillni mokhovatky zakhidnoi
chastyny Donbavu.
Kyiv.. Vyd-vo Akad.nailk Ukrainslkoi RSR, 1961. 1.20
p. (Akademiis
naA DRSR, Kiev. Tnstytut geologichnftb nauk. Trudy,
no, 38).
(MIRA 14:12)
(1ky'llets Banin-Palyzoa., FOSS11)

MENVERG, D.Ye.
Fauna of the Lower Visean braebiopods in the Donets
Basin. Trudy
Inst.geol.nauk Ali DRSR. Ser.strat.i paleont,
no.44:95-112 062.
(MIRA 150)
(Donate Basin-Brachiopodi, Fossil)

AYZEIIV,ERG, D.Ye. [Aizenverg, MR.]; KONOPLINA, O.R.;
LAIJUTIN, P.K.
I
Stratigr&phic correlation of' Devonian sedimontio in
the southern
margin of the Donets Basin. Geol.zhur. 22 no.4:53-56
162.
(KMA 1519)
1. InstiVat, geologicheakilch naxic AN UkrSSR.
(Donets Ba,31n--Geology,, Stratigraphic)

AXZF.NUW,.D.Y9. 1*.Aizenverh, D.IE.]; BRAZHNI~GVA., N.Ye.
[Brashnikova, N.IE.1;
ZmMoll T.A.; la)UTIN, P.K. [Lehutin, P.K.]
Carboniferous basalt la~rara in t40 Donets #aain,,
Geolembure 23 no,,1:73-78
.163. (NIRk 16--4)
l.- Institut geologicheskikh nauk AN UkrSSR.
(Donets aasizi--Basalt)

BRAZHNIKM
ANOVERG, D.Yeo , U, N.Yo.; FOrIYEVSKAYA, Y.D.
Stratigrap]W of the Middle Carbottiferous of ibe
southern slops
of the Voronezh ma3vif. Dokl. All SSSR 151
no.5tll53-1155 Ag
163. (MIRA 160)
1. Institut geologicheskikh nauk AN UkrSSR.
Predstavleno
aliademikom A.L.Yanabinym.
(Voronezh Province.-Geology, Stratigraphic)

AYZEEVERG, 'David Ye.1removich; BRAZHNIKOVA, ItIns.
Yevgen lyfsvna; NOVIK,
TAaterina "Isipma; ROTAY, Ayravt Prokhorovich, prof.;
SIMLIGA,
Polina. Lukinic6a-, EIONDARCHUK, V.G., akademik,
otir.red,.;
ZAV111YUMINA, If.N., red.izd-va; KADASMEVICH, O.A.i
teklin.red.
[Stratigrapliy of Carboniferous sedinxints in the
DDnets Basin]
Stratigraftia kamennougolinykh otlozhenli Donetskogo
baaseina.
Kiev, 1963. 182 p. (Akademiia nauk MM. InstiVit
geologichnykh
nat*. Seril.a atratiirafii i paleontologii. Tridy,
no.37).
(MIRA 16:12)
1, All UkrSSFI (for Boalarchuk).

AIMP~G, D.Ye.; BEL,-
nSE;V, YaX.; ifiRDUO1, 1.N.; bCRISU'KO, S.T.;
Bunir, G.A.; GORLITSYi~p B.A.; ")MAN', M.N., 21GORLMM,
L.G.; KAZAKOV, L.R.; KALYAYEV, G I.; KARASIK, KACHM14,
V.G.; KISE1XV, A.S.; LAGUTIN, P,14; LAZA'-IUCI, Ye.K.;
1AZARENKO, E.A.; LAFITSKIY, E.M.:: LAPCHIK, F.Ye.; LASIKOV,
V.A.; LEVENSHTEYN, M.L.; MALAMOVSKIY, V.F.; VITKEYEV, M.V.;
PRUSS, A.K.; SKARMEMIY, V.I.; SKIJHIDIN, S.A.; SOLOV'YEEV,
F.I.; STRYGM, A.I.; SUSHCEUK, Yv.G.; '1EFLI'11cKAYA, I.N.;
ADYUSHIN, S.Ye.; FUENKO, V.Yu., S-,1KOLA, T.N.; SHTEMIOV,
A.G.; YAROMMIUK, Y-A.; ZAV1HYUK):11,A, V.N., rod.
1
[Problems c-f metallogeny in the V raine) Probleily metallo-
genii Ukrainy. Kiev, Naukova dizka, 1964. 254 P.
(1-11HA 18:1)
1. Akademiya nauk URSH, Kiev. ln~tylxt geologichnykh nauk.

AM Ri-vo,
I
~- -1
"D~mamics of AuLomatic Pressure Regulation it. Gas
Automobiles," Collection of
Scientific-Research Works on Tnxrtors (Sbornik
nauchno-is,31ed rabot po avtotrak.-
tornom. delu), 14oscoll/Leningrad, Masligiz, 1938, PP,
51-92, 12 ill.

AY-ZM-IMI, 14. A.
"Dampening of oscillations Given bY Third-Ordor Linear
Differential Equations
with Constant Coefficients," Avbomatika i Te:Lcnekhaniha, 1940,
No. 1, Pp. 55-65,
3 ill -
"Dynamics of Automatic Multistage Pressure Rejulation," Trudy
(Eiorks) HATI (Scientific
Auto Traator Institute), 1940, Vol. 38, pp. 1SQ-0202, 1 ill.

AYZERIAM', 14. A.
"The Effect of Di-j (Coulomb) Friction Forces ai the Movemeat of
Indirect-Acting
Automatic Regulators," Bibliof;raphy, Autoinatiot; &
Telerievianics, Vol. 6, No. 3,
1941 Gp. 15-35, 17 Ill., 8 ref.)
"Review of B. I. Rubin and Yu. G. Kheynman's Book, Winciples of
Aviation Automatics,"'
Ibid.

AMIPUIIILL"~I. A
~~ -~k
IlInfluence of Nonlinearity on the Convergence of Automatic
Regulation and on the
Conditiona r-overning the GenertUon of Oscillations,"
Izvestiya All, SSSRJ OT14, 1944,
No. 12, pp. 826-835, 7 ill., 2 ref,

AVERMAN, M. A.
"Criteria of Convergence of Processes of Automatic
Regulation, Which Take In Account the Non-Linearity of
chqracteristics
of Elements of the Instaillation."
A dissertation toward a, degree of do-.-tor of techinal
sciences.
Institute of Automatics and Telemechimics of the Academy of
Sciences of
the USSRP
1946

AY&T,IIMMAII~ 1.1 4
U -A-4 A
"Conversence of Regulation After Large Initial Deflections,"
Avtoratika i Telemekhanika,
1946, No. 2-3, pp. 148-167, 21 4111., 7 ref.
"Convergence Criteria in Automqtic Regulation, Taking Into
Consideration the
Nonline,:Lrity of Parts of the Ap]Aratus ," Inst1tute of
Autom.,tics and Telemehanics
of Acad-my of Sciences USSR., 1.5J1-6/.

MERLIN, M. A.
FA, 22T48
r7-
smu Ilizers
Wclolc*U~-im of %zlinsay Functims from CertAli
vowiablo in Btu, k'rlng the Stability of an Au~~wtlo.
It4platiL Systest" M. A. Ayzeram, 10 jM
"iLftcliat i Tolemakh" Vol V13:1, No 1
Mie axotIble disoussoO the ocadItims of 0MV104me
Iii sutcahtio rogtiLation after a, giTen (but wA mall',
lsdt:ULI'defleotlaft~'. Well illustrated math"1610a
Uscuosion. - Submitted. at the AAUmmtio',Ro&iA0ws'
ftitfiin: Ot the N61tuU'of Aul~swtic Miakifii'4 aM
Tiblemiedbiolos at Us, Ao&UW *9i 3*14moom of fA*o VMR-
57

AYZEREA" A. "A 6,'jT54
VWXlootrculas Jkr/Apr 1948
Regulators, Electronic
Synobronoun Mkohines
"Some Structural Conditions of Stability In a Systsw
of AutomatIo Regulation," M. A. Ayzerran, Inst of
Autmatles and Telemeoh, Acad Sol USSR, 12k pp
"Avtomat I Telazekh" Vol II) No 2
Determination of structural conditions necessax~y to
perinit system of automatic reiguletion containing
series or belle hooked up in series, -to be made sta,-
ble based on selected parametere. Theorem for -the
determination of such necessary conditions. Expaples
shvw practical application of the, theories. ftbmittei
20 ant 1947.
_Mf.-

ussRtsleotrailes J'al /Aug
Regulators, Slootronlo
Hathewtion, Applied
"One Erroneous Theartan in the Thoory of Struatural
Stability ot RegulatIng Systmo," M. A. Ayzeramn,
6 pp,
'"Avtmatika, i Telenekh" Vol IX., no 4
DurIng the past fev years, six articles by I. It
Gallperin im the armilyals and syrthesis of
autowtic regulating systems have, appeared in
"Iz V-S Teplotekh". Many of theiie theorem are
erroneous acoorctltg to Ayzeinnan. Discusses
I A /ALO"O

----7
M. A. PA IVOT30
USSRIkleoErmi6s Jul/Aug 4B
Servo 112.,ystems
Fire Control System
"Review of 11. A. BemekeraWls Book 'temote'
Control'of krtillory~'" M. A. AyZiumn, Ya. Z.
Toypk:in., 2t pp
"Avtcmatika 1 Telemkh" Vol Up No 4
Unfavorable review. Part 3:10 "Tha Toundatibi2a
or the Themy of Autcoutic BegalatIng'and the
Theory of the Synch-knous-Sorvo Dr:tve.ff Publiahad
by the Lenliwad Orclor of Red P-nniw Mil Mmh
Inst, Laaiq~rad., 194111.
13A9T3o

A)WRI-VU4, M. A.
"Problem of the Stability of the Trocess of Dixect Regulation
of Engine rpm Accounting
for the Honlinea:rity of Its Chawacteristics." Symposium on
istability of engine
performance, MinIstry o:r the Automobile Industry LOSR, IM, No.
51, Mashgiz, 1948.

AYIF!~W~H-Awl,-XALUH, GJI., prof., dokiior tekhn.nauk,
laureat Stalinskoy
promij, retoeinzent; 'MIDBLUM, A.A., I:and#tekhn..nauk,
retsenzent;
B14KHo Z.Sh.v prof, doktor takhn.,nauk, red.; SMOLOV,
T.F..
takchn.red.
[Introduction in t1m) dynamice. of the automatic control
of engines]
Vvedanie v dinamilmi avtomaticheologo reguliroveniia
dvigntelet.
Mook,va, Goo. nauchao-tekha. Lzd-vo mehinostroit.lit-ry,
1950.
150 P. (taRA 14:4)
(Automatic control) (Wigine 9)

Ayzawi 'I. A.
Vvedanic v diritutillm a,vtomatichoskogo rej,,ult-ovardin
dvigatelai. Yoslcva.,
Ilashg:Lz, 1950. 152
Introduction to dynxiLics of the automatic control of
engiries.
SO i mmufactuxiiiLl, arxi v:nclumLcal Enginonriir in the
Sovict Union, Library
Of collgrOss, 1953-

AYZEMAN) M. A.
Automtics, TelemBehanics, and Wire Comunications, from a
selected list of works
by perstnnel of the Technical Sciences, D~pt., Academy of
Sciences USSR, published
in 1248-1949, Ivrestiya Akadexr-ty Nauk SSSR, Otdeleniye
Tekluiicheskikh Nauk, No. 3,
1950, pp. 451-476.

AYZEWXlp 11, A.
MRSH/Ph.vaics - servos Jul/jkug 50
Nonlinear
Simbility, Regulation
"Determining the Stable and UnEtable Portionc on
the Boundary of 'Stabilit:Y," M, A. Ayzermanj MOs-
COV
"Priklad Matemat i Mekh" Vol XrV,, No 4.., pp 444-448
Describes g4ometric method of studying safe and un-
safe regions and boundaries of trajectories In
pbase plane. Submitted 7 MaY 51).
166T107
166T107

PA 187T?5
USSR/nweics' t'. servaieebanifle Mwr'/Apr 11 1
"Increasing'the Critical VaLue of the Amplif
ica -
tion Coefficient of a Single i -C ircuit
Automatic-
Regulction System by Introducing an Action Cor-
responaing to'the Derivativol" M. A, Ayze:man,
Inst of Automatics and Teleriech, Acad Sci USSR
IlAvtomat i Telemekh" Vol XII:, No 2, pp
123-134
Determines greatest value ol' crit coeff of
ampli-
fication vhich can be attair.ed because- of
intro-
ductien of action corr to a deriv. Finds this
action for realizing greateet 6rit coeff of
ampli~- j
fication. Submitted 25 Oct 50; resubmitted 15
Jan
51, after revision.
18M�~

o0onlasunmucs'- - Mathieu Equations May/Jun 5'i
"Sufficient Condition for First-Class Stability of
Dynamical Systems With Variable Parame,ters," M. A.
ftyzeman, Moscow
IlPrik Matemat i.Nekh" Vol XV, No 3, PP 382-3,34
Considers Mathieu eq x + a~,+ (1 + q-cos 2t/in)x = 0
Detemines conditions that are sufficient for un-
bounded stability of this syst. Dynamic syst is
called stable vi-thout bounds if irylependently of mag-
nitudes of fini-bt quantities M, xo.t Xoj the :run
x(t) tends toward x = 0 as the time t tends 11.o in 11
finity, and if the function satisfies above 14athie*a
eq. Submitted 10 Jul 50.

J."'Ollov.1.011
G 2
.;,g
l'),52. 523 P-

YJ

Alkermas M #Y' On th a oa
structi
n of re
i
h

g
h
l
a
o
sonance gr
s.
p
(

for e
t
non
SSSR
l;
i
l S
it ear
a k4d. -Nq#
'
-
b
ik

nerT
. n
y
orn
13, .151-160,
(194;),

(Russlan)

Wilepid'eall ReAtIrs

Consic1cr the equation D(p)x-K(p)U(x)--A sin W3
l
dI
h

V0111 24 we* T

-
w
ere
dl, D(p) and K(p),are polynomials with Coh
stant Mficients, f(x) a given function. The values of A

July - AWoit
1983

w are amumed to be-such that this equation had a periodic
solution close to the hat~monic x-d+cain (td--f), 'If

f(d+c si: i v)
is approximated by

fs(e.d)+a(c,d) sin w+b(;,d)wsu, A
i

on ifor c, d. y result which the duth6r"solvea by a '
g
equati

ur~-Ion based on the graphs of D(iw)IK(Q (0 1 rc~presentti the output i3equence of M ly a delay by one
rhythm, and
vice vei-.-sa.- This paper deals with. sequent1al nachines only,
which realize
the fin~.te automaton, formula (6). (6) is cbtained from (3) and
(5) by
eliminalAng q RILd K, It reads k(p) - FiPI(J-1)~- T(P)J- The
working cycles
1, 2, -, p are clearly determined by the instants at -Rhich the
input
state ic changed. It :is assumed that the bnsic table of the (6)
automaton
is giveri.. Three methods of realizing this 1-asic table by
means of the
sequential machine art, studied- The methods differ by the
amount of
informal:ion rea,:hing the input of the autouaton. The fiTSt
method is that
of D. D. Huffman (Ref. 5). The second methcd provides for the
feed of an
Card 2p;

9 .3200 77828
r;OV/103-21-2-8/14
AUTHORS: Ay:7.epMan, M. A., Gusev, L. A., Rozoncer, L. I.)
SmIrnova, I.-M., Tall, 1~. A.
TITLE: Fin1te Autouiatono. I
PERIODINL: Avtomatlka I telcmviihanlka, 11j6O, Vol 22, Nr 2, pp
2211-236 (USSR)
ABSTRACT: The a-LIL1101-0 IfiVE! their poInt ul' view on the
tfteoPy of'
I'lnite autonvitoiwi. A I'li-ilte automaton 16 del'ined
as a dynaini.cal oyotem which at ccrLaln dlucreLe
momento oatl~31'lcu the 1'oljowjjiL; coj,idj.tjoij6: (1)
T11E! state of' the uvutun 1u :;elucted t'rom a L'inite
number k of' possible states (2) The state of* the
Input tc the system is &~Iected Vrorij a f'inite IlUmber
P C-1' I)OOL11ble 111PLIt, UtZltl-~U. (3) The 6tate of' the system
a~ any conoldered moment 13 dei'lned ;~Ingularly by the
state of' the system and ".he state of the i1hput at 'Che
moment. The fo.`,Jowing dejignationj are introduced:
Card 1/12 (a) 1) 2` - - -I kare Symbols of' k po3uible systems

Finite Aitomatons. 1
77-828
SCIV/10---,) -21 -2 -8/14
Of StZLtei .Their totality1j', is called a state
alphabet; (b) PI, zymbol.s of the
P22"'I P2 are I
r possible input states. Their totality[ PI is called
al-I Input alphabet. According to the condition (3)
the operation of a finite automaton is described
by the expression
, (/,) - J` k U, - h. f, Q, - 1) 1,
Card 2/ 1',.!
where F is a function with a single value. The
abstraction introduced b~ the concept of "finite
automaton" singlea out a clasu of sy8tems in which
the processea are described not by differential
vquUtions but by opecli'i: equations of type (1) -
A I'inlte automaton may have 1(.2. < k) possible
output states designated as x 11, J..., or,
X2 X,
Jn the'W totality deoij.,na'Lled ZIO all output alphabet
1 X J. In case oj.- an witomaton with an output,

T(L.
F-I ii. t 0 1 ,6
11,011/1 U-3 -2 1 -2 -8/111
J.'; I I ) muA. bt,~ by the
icIaLlonolill) I,jVun Zu~
EquatjonL; (1) may be ivjw(nelltud
by Tablo 1.
Thlo table io called thc ML;lc table oi* finite automaton
and may be set -ap In tlie CollowjjiL; ma:,,mer; a pair of
:3~mboI3 selected from alphabots I PI and 116 ~ determines
Card Olle case In the table. A,,suminc' iie ;Ymbol pair as

FInIte Automatojio. 1.
77f32b
SOV/103-21-2-8/i4
P a-lid 1~6 I'01, each moment t. The band called a 3tate
Dand.. Three sytiLl"", X. (P--I), P(p-1), and K(p),
del'ined by Eq. (1) are :3vparated by a heavy line on
Table 3. They are called a trlad. When the 2y~Aem
ls deflned by E(I .(1) arid Eq. ('21), then an output band,
as represented by Tablu 11, muBt zal~w be corwiderfud.
P,
When the input Btate dueL. ItOt vary witti time the
aUtcnnatoii lo caLled autwim1c. Equatkun (1) I'or this
case hao the Voi-m
Iv (p - 1) (3)
Card 5/12

Flnite Automatons. 1
771328
SOV/103-21-2-8/'14
where F,(O) may be conoldei,ed a p-Irameter. The
operation of an autonomlc automa!on may be represented
j~rapl~.Jcally by k. polnt~-, CC'1'VCL;pOlidlnLr, to system
:3tates
and repreuented by arrows witich show tne direction
ot' transition from one poInt '~o lt".he otner, in accordance
wLth Eq. Since a nonautonomic auWTnatDri ha s r
input statc.3, At can be repreocritud by r various autonomic
a;itomatmo, under the aoSUlllj)tlOll that the r input otatej
do not vary. The totality w' r graphs ilepresenting the
above witonomic automatonb characterizes the non-
auLonDmIc automaton. Figure I sliows an example of a
totality of' 3 Graphs
Card 6/12
? Ph
K5 X.F
or, \'e), "A
rl \Izolll 'T'
Z$
Fir
'. I .

Finite to.1tomatun',
'17 82 b
SOV/103-21-'12-8/14
Table coi-n--oponch; to the automaton cliarai-terized by
Fl.[_e,. 1.
TA .1 L Er
X1 x I
X;I
Pi X r X
PS X4
Th~, Introduction of the coi-lcepL of "firilte automaton"
poses a series of problem's . The bando represented by
Tables 3 arid 14 are ao-Ommed to be infiiiitle arid cannot
be Liclucted. Selected are.the alk,-ovithms which
deLormlne the L;yinbol for- ary caoc of air Infinite band.
Foi- the band represented by Table 3, the al~~orlthms
corroupondIng to the upper (P) arid to the lower,
(k ) liae are designated as A P arid A, , respectively.
Card 7/12

Finite Autt-Matons. 1 77828
SOV/'103-21-2-8/14
SI'11118.Ply AP and A arc tile al,,-orithms of' tile
OUtPLIt, bat'id, represeAed by Table 4. For a t.;iven
automaton, the analysis, i,e., tile determination of'
A7,~ or Anx In accordance with A doeS not represent
any scie tIfic problem. 01'. thepeoIntrary, the synthesis
of' an automaton. 1.e., flnding the Eq. (1) from tile
1mr.iven band algorithmo pose,~ several problemo. When A?~
and A P ure known, the 1'1r~t problem coi ,isists In finding
an alL!;orithni proving that 1,P and A are not con-
tradictory, there arc no contradictory triads In
the band. Two triads are ~-ontradictory when their
symbols p(p-l) and 7((p-1) are tile same, but when
symbols -41,p) are different. When A and Ax are not
P
contradictory, an algorithm must be found determining
all variouz, triads of the band. Synthesis corresponding
tO thE! output band it; a mo!-!, complex problem. Here A P
Card 8/12 and A x are known and the , imber of' states It and
function

FInItc, Automatono. 1 77828
SOV/103-21-2-8/iii
An Eq. (2) have to be ictermined. It Is stated
;la,, In c,*,3e D1, j,illite L;tate and output barldo, the
,iyntiiO:31s problem becomeo leso complex. To diucus3 the
:iyntliesls problem the followin6 concepts are introduced:
,l) The S,*ymbol Converter-. ThL, IL; an a))jtract arrangement
])L,rfDrmIn.:,, the tranot'orination del'ined by Eq. (2), (2)
The Equivialerit Automaton"u. On Fig. 2, atuomaton
ED
Fig. 2.
A 1:3 opcratlni.~ accovd1ni,
the state alpliabetj R L,,) the Input alphabet ICL and
Automaton B has the I put
alphabet and e tate alphabet b~ . It Is assumed
Card ~,/12 that tivo~sy bol converter3 C CLP and ba may be
selected

Finite Automatons. 1 77828
SOV/103-21-2-8/14
."Ln such a manner that fov any sequence of input symbols
1-OMID.j , the sequence of symbols from the alphabet
~a I , t the output of the combined system C of? I B,
Gba' wIll be the same as the sequence of' stat-e74ymbols
Ln A. In this case it iL; said that B is an image of A
and nay be written as.
~,I -h ~;;z IVDA.
When at the same time,
I Bod A B,
then A and B are equiva*.ent auLomatons. (3) The
Abstract Structure of a KnIte Automaton. An arrangement
of L3 input lines u1, . - . , u, and of' n, L;ene%ralized
coordinates x,,..., x i~- "'conolderod. At moments
Card 10/12 Op Ij 2j 3j. . . ..p. eacli inrUt- and each
coordinate has

Lc AuLowaton;; I
SOV1103-21-2_-81111
Only o.,w .:)I' a 11.iiltu nuuibui- o1' value., The oper-atiol'I 01'
111 L., do'..cf-Ibud by
xi (1)) . - /j Ix, (1) - i) ...... U,, (I - - 1); 111 (P - 0,
E(I t ta t 1 w 1 (6 ) I ~ W i0 U I IL? i - I'u i iii c) I' Eq . (J.
To One
z_,quatloli of type (1) cor,rcL;pond varlou uquatlozw of
the type (6). The traiwition 1'rom Eq. (1) to tile
-~(Iulvalent E(IL;. (6) io called a suluction of :,,.tructure
:)f a VinIte automatoa, wid Eq. (6) themL;eivu!~ are
(ASS) of a Vinite automaton.
,alled an abstract Otl-LICtUM
(11 ) Tile Net .This I.L; a totallt v of AS, Interconnected
by means of symbol converteri;. Baoed oil the.above
3oncepts, tile authors arrive at tile Conclusion that a
finite automaton may be deL;ILi;ncd by combining into a net
other finite automatons. ThE! design of a multitude
.Df aUtomatons froin a small number.of initial automaton-
it elements" is called abutract, aL%regatlon. A 3e't of
j
AS and converters is ealled complete, when by means of'
Card 11/3.2 this set the networks designed are images of any-selected

Finite Automatons. 1
77828
SOV/103-21-2-8/14
automaton. A technically very important com lete
aet is Bet-up of' tile following clerients: a a binar
=. z/p-l
delay element, described by the equation x~p~ y))
where x and z are selected from an alphabet comprising
only two symbols, 0 and 1, for example; (b) a set ol'
logic elements enabling performance of' any lo,,Ical
function. It is shown that from the above set a net
may be designed to be an image of any t'inlte automaton.
(To be continued). There arc-, 11 ngures; 6 tab-Les; and
:25 references l'j Soviet, I French., 7 U.S. The 5 most
recent U.S. references are: Burks, A. W., Wright, J. B.,
rheory of Logical Nets, Froc. IRE, No. 4 (1953);
Huffman, D. A., The Synthesis of Sequental Switching
Circuits, Journ. Francl Inst., Vol 257, Nr 3, 4 (1954);
Burks, A. W., Wang, II., The Logic of Automata., Journ.
Assoc. Comp. Mach., Vol 4, Nr 2, 3 (1957); Davis, M. D.,
Computability and Unsolvability, McGraw Hill, New York
(.1957); CoPi, I. M., Elgct, C., Wr'.ght, J. B., Realisa-
tion of Events by LoLical Nets, Jotirn. Assoc., Comp.
Mach., 5, p 181, Nr 2 (1C158).
SUBMITTED: June 10, 1959 Card 12/12

80248
41 Gi 0 S/0400/60/024/02/12/032
AUTHORS: Ayzerman,_ ..A.,j,,.Gaqtmakher, F. R. (Moscow)
TITLE: OiL the Stabilitykf the Position .of 3quilibrium in
DJ.scontinuous Systems
PERIODM~L: Prikladnaya matematika J. melthanika, 1960, Vol. 24,
No~ 2
pp. 283-293
TEM Lot a disconlinuous motion be described above or belov. the
sur-
face
(2) Pl:x) - 0
by the s:fstems af equations
(+1) f 4' (X)
or
(X)
Both systems are assumed to possess unique solutions fox- given
initial
(.on.~_ilkiotis and to be without singular points on the
surface (2), The
motion cf the image point on (;2) is not defined by (t1) and
muzt be
additiorally dc!termined, Thereby positions of equilibrium can
Lrise
Card 1/:,l

80',148
S/043/60/024/02/12/032
On the Etability of Vae Position of Equilibriuvi ir.1
Discontinuous
Systems
on (2), the stability investigation of whi2i has to be carried
out
either by considering the additional condition* or by
considering the
systems (t1). The last case is investigated in the present
paper. Let
(2) be the plane x,, -0, in the semiplane .11 n . 0, X11 > 0
the
trajectcries of (+1) are assumed to proceed downwards and in
the
semiplalLe x , = 01 x .1 < 0 to proceed upwa:rds. Then (t1 )
describes
a point transformation G, of the semiplan,~. xv, -- 0, x, > 0
into the
semiplane x h = 0, xi-4 0 and (-1) describe!; a point
transformation G
of X :~ 0, x 0 into x , = 0, X11 > 0. The limi-~ x, := 0, x1i
= 0
consist:3 of fixed points of the transformations G, G~,, G =
GG,. The
stabili-:.y of the fixed point x = 0 of G is equiva:Lent t~;
the stability
of the -,losition of equilibrium in -the origin (see
(Ref.3,9)). It.is
S1, )wn that, if f 4 (0) and f - (0) arc! not collinear
vectc)rs, 'he
I I posi-
tion of equilitrium x = 0 is unstable. In the case where f4
(0) and
f- (0) are collinear the authors give sufficient conditions
for the
stabilit~y and instUbili-ty of the fixed point x = 0
(Generalization of
the res~.ilts'of Yu. J. Neymdrk (Ref.8),(Ref-5)),
There are 3 fiE;ureici, and 10 references: 8 'Soviet, 1 "erman
and 1 Italian.
SUBMITY3,1): November I
Card 212 ~j 1959

3
S/053/60/071/01/10/011
B006/BO1 I
AUTHOR: Ayzermang M. A.
TITLEs A Classical Book on the Theory of Wonlinear-
Oscillations
PERIODICALt UE,pekbi fizicheskikh nauk, 1960, Vol- 71, No. 1,
pp. 167-170
TEXT: I''he author givea a detailed review of the book
I'Teoriya kolebaniy"
(Theory of Oscillations) by A. A. AndronoY-L A. A, Vitt, and
S. E. Khaykin,
Publishing Houtie Fizmatgiz, Moscow, 1959- P"ice 31-50 rubles.
There
are 3 references, 1 of which is Soviet.
Card 1/1