Прикладные методы нелинейных колебаний - Старжинский В.М.
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le voisinage des valeurs singulieres, Bull. Soc. Math, de France, 1912
40, 324-383.
349. Dysthe К. B., Gudmestad О. Т., On resonance and stability of
conservative systems, Journ. Math. Phys., 1975 16, № 1,56-64.
350. For bat N., Strenge Untersuchung einer periodischer Losung einer
nichtlinearer Differentialgleichung, Abhandl. Dtsch. Akad. Wiss., Berlin,
KI., Math., Phys. und Techn., 1965, № 1, 245-250.
351. Gilchrist A. O., The free oscillations of conservative quasilinear
systems with two degrees of freedom, Internat. of Mech. Sci., 1961 3,
286-311.
352. GreenbeergH. J., Yang Ta-Lun, Modal subspaces and normal mode
vibrations, Int. Journ. of Noul. Mech., 1971 6, 311, 326.
353. Gutowski B., A method for investigating nonlinear perturbations of
motion of a mechanical system and its influence on the properties of
solutions of the equations of motion, Archiwum mechaniki stosowanej,
Warszawa, 1972 24, № 2, 169-177.
354. Gutowski B., Badziszewski B., Asymptotic behaviour and properties of
solutions of a system of non-linear second order ordinary differential
equations describing motion of mechanical systems, Archiwum mechaniki
stosowanej, Warszawa, 1970 22, № 6, 675-694.
355. Hale J. K. a) Periodic solutions of non-linear systems of
differential equations, Biv. mat. Parma, 1954 5, № 5, 281-311;
b) Sufficient conditions for the existence of periodic solutions of
systems of weakly nonlinear first and second order differential
equations, J. Math. Mech., 1958 7, 163-171.
356. Hale J. K., Seifert G., Bounder and almost periodic solutions of
singularly perturbed equations, Bourn, of math. anal, and appl., 1961 3,
JV" 1, 18-24.
357. Hale J.K.,Stokes A. P., Behavior of solutions near integral
manifolds, Arch, for mat. mech. and anal., 1960 6, № 2, 133-170.
358. H a у a s h i C., a) Subharmonic oscillations in nonlinear systems,
Journ, Appl. Phys., N. Y., 1953 24, № 5, 521-529;
ЛИТЕРАТУРА
251
b) Higher harmonic oscillations in nonlinear forced systems, Golloq.
intemat. Centre nat. rech. scient., 1965, № 148, 267-284.
359. Heinhockel J. H., Struble R. A., Resonant oscillations of an
extersib'e pendulum, J. of Appl. Math, and Phys. (ZAMP), 1963 14, fasc.
3, 262-269.
360. Heinrich W., Schmidt G., Zum Einfluh noherer Naherungen hei
parametererregten Schwingungen, Monatsherichte der DAW, Berlin, 1971 13,
№ 8, 557-561.
361. H sieh D. Y., Variational methods and nonlinear forced oscillations,
Journ. Math. Phys., 1975 16, № 2, 275-280.
362. Kinoshita H., Теория нелинейных колебаний для неконсервативных
систем, Токё тэммондай хо, Tokyo Astron. Ohserv. Rept., 1972 15, № 4,
789-812.
363.?M algarini G., Studio asintotico di un sistema concernente le oscil-
lazioni non lineari. Rend. 1st. Lombardo sci. e lettere. Sci. mat., fis.,
chim. e geol., 1961, A95, № 1, 131-146.
364. Mangeron D., ChaleatR., Theorie generale de la synchronisation et
applications, Note II. Conditions de stahilite daiis la theorie generale
de la synchronisation. Bui. Inst. Politechn., DIN Iasi, serie noua, 1965,
II (15), № 3-4, 301-306.
365. Massaglia F., Sulle vihrazioni quasi armoniche di un sistema dissi-
pativo con elastita constanta a tratti, Atti Semin., mat. a fis., Univ.
Modena, 1953-54 7, 167-181.
366. M e г с e r C. A., R e e s P. L., F ah у F. J., Energy flow between
two weakly coupled oscillators subject to transient excitation. J. Sound
and Vihr., 1971 15, № 3, 373-379.
367. Mettler E., a) Stahilitatsfragen hei freien Schwingungen
mechanischer Systeme. Ing.- Archiv, 1959 XXVIII, 213-228;
h) Schwingungs- und StahiHtatsprohleme hei mechanischen Systemen mit
harmonischer Erregung, ZAMM, 1965 45, № 7-8, 475-484;
c) Stability and vibration problems of mechanical systems under harmonic
exitation, Dynam. Stahil. Struct., Pergamon Press, N. Y., 1967, 169- 188;
d) fiber hohere Naherungen in der Theorie des elastischen Pende's mit
innerer Resonanz, ZAMM, 1975 55, H. 2, 69-82.
368. Minorsky N., Sur les systemes non-autonomes, Colloq. intemat. Centre
ant rech. scient., 1965, № 148, 83-94.
369. Moser J., Perturbation theory for almost periodic so'utions for
undamped nonlinear differential equations, Nonlinear Differential
Equations and Nonlinear Mechanics, Acad. Press, N. Y., 1963, 71-79.
370. Mu szunska A., Radziszewski B., Szadkowski J., Z i e m h a S., Some
problems of the theory of vibrations, Zagadnienia, drgan nielinowych,
1972 13, 7-20.
371. Nixdorff K., Zur iterativen Bestimmung nichtlinearer Schwingungen,
ZAMM, 1974 54, H. 12, 819-822.
372. P a k С. H., Rosenberg R. М., On the existence of normal mode
vibrations in nonlinear systems, Quarterly of Appl. Math., 1968 26, № 3,
403-413.
373. Pol *B. van der, a) A theory of the amplitage of free ans forced
triode vibrations, Radio Rev., 1920 1, 701, 754;
h) The nonlinear theory of electric oscillations, Proc. of the IRE, 1934
22, 1051-1086.
374. Roberson R. E., On an iterative method for' nonlinear vibrations,