Teodorescu P.P. Mechanical Systems, Volume III: Analytical Mechanics
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MECHANICAL SYSTEMS, CLASSICAL MODELS
762
Lagrange, with multipliers, 436
Maggi, 474
Maggi, canonical form, 475
Volterra, 473
Voronets, 472
heavy circular disc, 485
on a horizontal plane, 485, 489
on an inclined plane, 487
kinematics, 411
motion of a rigid solid, 430
on a fixed surface, 430
on a horizontal plane, 430
motion of a heavy circular disc on a plane,
447
motion of a rigid solid with a fixed point,
483
motion of a skate, 443
motion of a sphere on a rough fixed surface,
434
non-holonomic space, 421, 427
Vrănceanu’s theorems, 427
relations of transposition, 424
representative space, 414
Ricci’s coefficients, 429
pure pivotting, 418
rolling, 413
of a circular disc, 413
of a rigid solid on another one, 418
of a sphere on a horizontal plane, 420, 452
pure, 418
the carriage, 459
four-wheeled, 464
two-wheeled, 459
Operator, 51
space differentiation, 51
time differentiation, 51
total differentiation, 51
Pascal’s limaçon, 41
Periodic motion, 356
action variable, 361
adiabatic invariants, 365, 366
angle variable, 361
criteria, 365
multiply, 357
quasi-, 356, 360
Sommerfeld’s quantification criteria, 365
Perturbation theory, 285
Problem, 1
basic, 1
motion, 99
in an electromagnetic field, 108, 155
of a particle, 99, 151, 191
of a rigid solid, 109, 158, 209
of libration, 186
pendulum, 111
double, 111, 159
sympathetic, 112, 159
plane motion, 250
two centres, 106, 208
two particles, 105, 202
Ramification, 683
attractor, 709
multiple, 684
simple, 684
bifurcation, 697
global, 697, 707
Hopf’s, 701
Hopf’s, subcritical, 702
Neĭmark, 702
branch, 689
fold, 685
fork, 685
generation, 703
hard, 703
soft, 703
hysteresis, 687
multiple, 688
Lindstedt’s method, 704
periodic solution, 697, 698, 706
structural stability, 684
trajectory, 710
heteroclinic, 710
homoclinic, 710
Representative space, 2
configurations, 46
kinetic energy, 52
natural system, 52, 58
3n
E , 6
s
Δ , 47
phase space, 115
potential, 13
quasi-potential, 13
generalized, 54
scalar, 13, 20
simple, 54
vector, 13, 20
velocity, 3
generalized, 7
possible, 3
real, 3
virtual, 3
work, 52
real elementary, 54
Stability of equilibrium, 506
asymptotic, 511
criteria, 529
global, 511
orbital, 512
autonomous discrete mechanical system, 518
n degrees of freedom, 525
one degree of freedom, 518
criteria, 530
geometrical, 532
Liénard–Chipart, 531
Routh–Hurwitz, 530
Subject Index
763
dissipative discrete mechanical system, 535
function of definite sign, 512
equilibrium, 506
indifferent, 507
instable, 506, 533, 535
labile, 507
non-potential generalized force, 516
perturbation, 507
perturbed motion, 510
theorems, 514
Chetaev, 533
Lagrange–Dirichlet, 514, 516
Lyapunov, 533, 534
Torricelli, 514
Stability of motion, 537
in first approximation, 544
limit cycle, 551
Lyapunov’s function, 547
motion in a central field, 562
motion of rotation, 555
of a projectile, 559
of a rigid body, 555
non- linear differential equations, 540
systems of cyclic co-ordinates, 550
theorems, 537
Bendixon, 554
Chetaev, 542
Lyapunov, 537, 539, 541, 543, 544, 546,
547
Routh, 550, 551
Theorems, 23
Carathéodory lemma, 290
conservation of mechanical energy, 23
ergodic, 355
Lagrange’s basic lemma, 217
second basic lemma, 219
of Burger, 368
of Cartan, 370
of differentiability of the solution, 65, 123
of Donkin, 118
of Euler–Ostrogradskiĭ, 265
of existence and uniqueness, 63, 122
of generalized momentum, 78
for percussions, 96
of Gibbs–Hertz, 368
of Hamilton, 232
of Hamilton–Jacobi, 163
of Hölder, 224, 237
of Hwa-Chung Lee, 346
of Jacobi, 248, 279
of Jacobi–Poisson, 145
of kinetic energy, 23
second form, 23
of Lagrange, 139
of Lamé, 262
of Larmor, 254
of Lie, 148, 295, 298
of Liouville, 149, 181, 339, 341
of Livens, 235
of Love, 264
of Maupertuis, 245
of Mayer, 157
of Noether, 304, 306, 308
reciprocal, 311
of Peano, 64
of Poincaré, recurrence, 354
of Poisson, 144
of Routh–Helmholtz, 79
of Stäckel, 183
of the least constraint, 31
of the least curvature, 33
of Torricelli, 26
of virtual work, 25
of Voss, 238
of Whittaker, 251
Transformation, 13
canonical, 265, 274
complete, 266, 268
free, 275, 281
generating function, 277
univalent, 275, 281
conditions of canonicity, 265, 270, 272, 274
gauge, 13, 67
identical, 284
infinitesimal canonical, 286
generating function, 289
structure, 289
of contact, 260
of Legendre, 118
point, 65, 275
symmetry, 301, 304
space-time, 319
Variational methods, 213
principles, 225
general integral, 225, 229
of Fermat, 249
of Hamilton, 231
of Hölder, 237
of Larmor, 253
of least action, 246
of Maupertuis, 243
of Voss, 238
transitivity relation, 217
variations, 215
asynchronous, 215, 220, 237
canonical form, 235, 258
synchronous, 215, 231
Vibrations of mechanical systems, 566
axletree of negligible mass, 621
discrete, 572
dynamical absorber, 622
equations, 567
of motion, 567
secular, 570
forces, 597
periodic perturbing, 597
small dissipative, 603
which depend explicitly on time, 601
MECHANICAL SYSTEMS, CLASSICAL MODELS
764
which do not depend explicitly on time,
600
normal co-ordinates, 576
oscillations, 566
free about a stable position of equilibrium,
566
free damped small, 596
of vehicles, 627
small forced, 597
small with one degree of freedom, 585
small with two degrees of freedom,
587
three harmonic, 583
two harmonic, 581
proper pulsations, 589
regulator, 613
centrifugal, 616
of Watt, 613
rotor axletree system, 619
supplementary holonomic constraints,
592
theorems, 577
Daniel Bernoulli, 577
Rayleigh, 593
variation of constants, 609
vibrations, 574
non-linear, 606
parametric, 607
proper forms, 574
self-, 611
Work, 3
of constraint forces, 3
real, 3
virtual, 3
of the forces of inertia, 6
real elementary of the generalized forces, 3
constraint, 10
given, 10
virtual of the generalized forces, 3
constraint, 11
given, 11
Name Index
765
Abraham, R., 739
Abraham, R.H., 739
Adams, 655
Adhémar, R.d’, 739
Agostinelli, Cataldo, 739
Alarcón, E., 742
Alembert, Jean Baptiste leRond d’, 2, 20, 21, 25,
213, 739
Amaldi, Ugo, 748
Ames, J.S., 739
Anastasiei, M., 749
Anaxagoras, 723
Andelić, T., 739
Andonie, George Şt., 739
Andrade, 208
Andreescu, D., 750
Andronov, A., 739
Anosov, D.V., 739
Appell, Paul-Émile, 2, 24, 411, 478, 482, 739
Argyris, J., 739
Arnold, V.I., 115, 335, 629, 739, 740
Aron, I.I., 750
Arya, A., 740
Atanasiu, Mihai, 740, 755, 756
Atkin, R.H., 740
Atwood, George, 41
Avez, A., 740
Babakov, L.M., 740
Babitsky, V.I., 740
Babuška, Ivo, 740
Bahar, L.Y., 399
Bai-Lin, H., 740
Baker, G.L., 740
Baker Jr., R.M.L., 740
Banach, Stephan, 740
Barbashin, 541
Barbu, L., 753
Barbu, Viorel, 740
Barenblatt, G.L., 740
Barger, V., 740
Barnsley, M.F., 712, 721, 740
Bat, M.I., 740
Bălan, Ştefan, 740, 756
Beer, F.P., 740
Beghin, 97
Beju, Iulian, 740
Belenkiĭ, I.M., 740
Belidor, 39
Bellet, D., 740
Bellman, R., 403, 740
Beltrami, Enrico, 740
Bendixon, 554, 633
Berezkin, E.N., 741
Berge, P., 741
Bergman, P.G., 741
Bernoulli, Daniel, 1, 577
Bernoulli, Jacques (Jacob), 1, 651
Bernoulli, Jean, 1, 218
Bernousson J., 741
Béghin, H., 741
Biezeno, C.B., 741
Birkhoff, Georg David, 335, 390, 397, 399, 402,
476, 741
Bishop, A.R., 741
Blitzer, L., 742
Bobylev, D.K., 411
Boerner, H., 741
Bogolyubov (Bogoliuboff), Nikolaĭ Nikolaevich,
607, 741, 747
Bolotin, V.V., 741
Boltzmann, Lothar, 341, 741
Bolza, 403
Bone, J., 741
Born, Max, 741
Borş, Constantin, 741
Boucher, M., 741
Bouligand, Georges, 741
Bourlet, C.E.E., 741
Bradbury, T., 741
Bradistilov, 112
Bratu, Polidor, 741, 757
Brădeanu, D., 741
Brădeanu, Petre, 741
Brelot, M., 741
Bricard, R., 741
Brillouin, L., 741
Brot, M.A., 747
Brousse, Pierre, 741
Brouwer, D., 741
MECHANICAL SYSTEMS, CLASSICAL MODELS
766
Brown, Robert, 629
Budó, A., 741
Bukholts, N.N., 741
Bulgakov, B.V., 741
Burgatti, P., 189
Burgers, 365, 368
Burileanu, Ştefan, 741
Burlacu, L., 749
Butenin, N.V., 741
Butterfield, H., 741
Buzdugan, Gheorghe, 741, 745, 755
Cabannes, Henri, 742
Caldonazzo, B., 742
Califano, S., 742
Cantor, Georg, 712
Carathéodory, 422, 430
Cartan, Élie, 239, 341, 348, 350, 368, 369, 371,
742
Cassiday, G., 743
Cauchy, Augustin Louis, 21, 64, 122, 650, 654
Caviglia, 399
Cayley, Arthur, 721, 742
Chaikin, C., 739
Champernowne, 723
Chaplygin, Sergei Alekseevich, 411, 417, 430,
437, 467, 468, 471, 475, 742
Charlier, C.L., 742
Charpit, 144, 326
Chazy, Jean, 742
Chetaev, N.G., 505, 542, 548, 742
Chiroiu, Călin, 742
Chiroiu, Veturia, 742, 749, 754
Chow, S.N., 683, 742
Chow, T.L., 742
Christoffel, E.B., 63, 441
Chipart, 531
Chua, L.O., 751
Ciofoaia, Vasile, 755
Clairaut, Alexis-Claude, 1, 161, 651
Clebsch, Rudolf Friedrich Alfred, 406
Clemence, G.M., 741
Coe, C.J., 742
Collatz, Lothar, 742
Conti, R., 753
Coppel, W.A., 742
Corben, H.C., 742
Coriolis, Gustav Gaspard, 94
Correas, J.M., 742
Couley, 710
Courant, Richard, 742
Crandall, S.H., 742
Crăciun, Eduard Marius, 742
Crede, C.E., 745
Cromer, A.H., 753
Currie, D.G., 399
Curtu, Ioan, 755
Curtu, R., 742
Cushing, J.T., 742
Darboux, Gaston Jean, 399, 742
Dautheville, S., 739
Davidson, M., 742
Davis Jr., L., 742
Deciu, Eugen, 752
Delassus, E., 742
Deleanu, 91, 92
Demko, S.G., 712, 740
Desboves, 208
Descartes, René, 41
Destouches, J.L., 742
Devaney, R., 729, 742
Dincă, George, 208
Dincă, Florea, 742
Djanelidze, G.Yu., 740
Doblaré, M., 742
Dobronravov, V.V., 115, 743
Dolapčev, Blagovest, 89, 91, 743
Donescu, Ştefania, 742, 750
Donkin, 118
Douady, A., 722
Douglas, Gregory, R., 743
Douglas, I., 399
Dragnea, Ovidiu, 743
Dragoş, Lazăr, 743
Draper, C.S., 743
Drăganu, Mircea, 743
Drâmbă, Constantin, 743
Duffing, G., 673, 723, 732, 743
Dugas, R., 743
Dvor’nkov, A.L., 742
Eckhaus, W., 743
Eddington, A.S., 743
Edgar, G.A., 743
Einstein, Albert, 373, 378
El Naschie, M.S., 743
Emmerson, J.Mc L., 743
Erdmann, 407
Eringen, A. Cemal, 743
Euler, Leonhard, 1, 218, 220, 245, 303, 437, 438,
566, 667, 743,
Falconer, K.J., 712, 743
Falk, G., 743
Faust, G., 739
Feigenbaum, Mitchell, 723, 729, 735, 736
Fermat, Pierre de, 213, 249
Fernandez, M., 743
Fertis, D.G., 743
Feshbach, H., 749
Fetcu, Lucia, 741
Fetter, A.L., 743
Feynman, R.P., 743
Name Index
767
Fillipov, A.P., 743
Finch, J., 745
Finkelshtein, G.M., 743
Finzi, Bruno, 743
Fischer, Ugo, 743
Floquet, 642
Florian, V., 752
Follin, Jr., J.M., 742
Fomin, S.V., 744
Forbat, 190
Fowles, G., 743
Föppl, August, 744
Frank, N.H., 754
Frank, Ph., 743, 744
French, A., 744
Frobenius, 412
Fues, E., 160, 750
Fufaev, N.A., 411, 474, 750
Gabos, Zoltan, 744
Galileo, Galilei, 319, 323, 324, 331, 744
Gallavotti, G., 744
Gantmacher, F., 744
Gauss, Carl Friedrich, 20, 28, 31, 90, 213, 449
Gavete, L., 742
Gelfand, I.M., 744
Georgescu, A., 744
Germain, Paul, 744
Gibbs, Josiah Dixon Willard, 116, 119, 365, 368,
411, 478, 482, 744
Gilbert, 94
Gilmore, R., 683, 744
Gioncu, Victor, 683, 744
Girard, A., 744
Gleick, J., 744
Godbillon, C., 744
Goldstein, Herbert, 2, 115, 744
Gollub, J.P., 740
Golubev, V.V., 744
Golubitsky, M., 744
Gordon, I., 739
Graffi, Dario, 744
Grahn, R., 746
Grammel, Richard, 741, 744, 757
Gray, A., 744
Grebenikov, E.A., 744
Greenhill, A.G., 744
Greenwood, D.T., 745
Griffith, B.A., 755
Gronwall, 647
Grumăzescu, Mircea, 754
Gruner, G., 741
Grübler, M., 753
Guckenheimer, J., 745
Guillemin, V., 744
Gumowski, I., 745
Gurel, O., 745
Gutzwiller, M.C., 729, 745
Haase, M., 739
Habets, P., 753
Haikin, S.E., 739, 745
Haken, H., 682, 745
Halanay, Aristide, 745
Hale, J.K., 683, 742, 745
Halliday, D., 745
Halphen, Georges Henri, 745
Hamburger, Leon, 745
Hamel, Georg, 4, 84, 411, 438, 439, 441, 745
Hamilton, William Rowan, 115, 116, 125, 135,
160, 162, 163, 171, 172, 213, 231, 232, 257,
335, 475, 745
Hammermesh, M., 745
Hand, L., 745
Hangan, Sanda, 745
Hao, B.L., 745
Harris, C.M., 745
Hartog Den, J.P., 745
Hassard, B.D., 745
Hasselblatt, B., 747
Hausdorff, 712, 715, 716
Hayashi, C., 745
Heisenberg, Werner Karl, 629
Helleman, R.H.G., 745, 746
Helmholtz, Hermann Ludwig Ferdinand von, 79,
131, 398, 636
Hemming, G., 745
Herglotz, G., 745
Herman, Jacob, 1
Hertz, Heinrich Rudolf, 20, 28, 133, 213, 365,
368, 411, 412, 745
Hesse, 690
Hestenes, D., 745
Hénon, M., 727, 735, 737, 745
Hilbert, David, 712, 714, 716, 742
Hirsch, M.W., 745
Hlavaček, V., 745
Hokjman, S.,399
Holden, A.V., 745
Holmes, P., 745
Hooke, Robert, 261
Hopf, 701, 702
Horovka, J., 743
Hort, W., 746
Hölder, O., 213, 224, 231, 237, 238
Hubble, Edwin Powell, 379, 385, 389
Hunt, G.W., 755
Hunter, G., 746
Hurwitz, Adolf, 529, 530, 532
Huseyin, K., 746
Hutchinson, 720
Huygens, Christian, 566, 746
Hwa-Chung Lee, 341, 345, 346
Iacob, Andrei, 746
Iacob, Caius, 746
Iakovenko, G.N., 752
MECHANICAL SYSTEMS, CLASSICAL MODELS
768
Ille, Vasile, 755
Imshenetskiĭ, V.G., 189
Ioachimescu, Andrei G., 746
Ionescu-Pallas, Nicolae, 746
Iooss, G., 683, 740, 746
Irimiciuc, Nicolae, 749
Irwin, M.C., 746
Isaacson, N., 746
Ishlinskiĭ, A.Yu., 746
Ivanov, I., 740
Jackson, E.A., 746
Jacobi, Carl Gustav Jacob, 69, 74, 75, 100, 115,
143, 145, 160, 162, 163, 205, 213, 240, 245,
248, 279, 437, 498, 746
Jammer, M., 746
Janssens, P., 746
Jansson, P.-A., 746
Jaunzemis, W., 746
Jeffers, S., 746
Jeffreys, B.S., 746
Jeffreys, W., 746
Johnson, 411
Joos, G., 746
Jose, J.V., 746
Joseph, D.D., 683, 740, 746
Jourdain`, 88, 213
Jukovskiĭ, Nikolai Egorovich, 746
Julia, Gaston, 712, 721, 746
Jumarie, G., 746
Jung, G., 746
Jurgens, H., 712, 751
Kahan, Theo, 746
Kamke, E., 746
Kantorovich, L.V., 746
Kapitaniak, T., 729, 746
Kaplan, James, 727
Kaplan, M.H., 731, 747
Kapli, D.M., 750
Kasner, E., 747
Katok, A., 747
Kauderer, H., 747
Kauffman, S.A., 747
Kazarinoff, N.D., 745
Kármán, Theodor von, 747
Kästner, S., 747
Kecs, Wilhelm, 747
Keller, H.B., 746, 747
Kellog, O.D., 747
Kelzon, A.S., 740
Khanukaev, Yu.I., 752
Kilchevski (Kilcevski), N.A., 747
Kirchhoff, Gustav Robert, 747
Kirpichev, Viktor L’vovich, 747
Kittel, Ch., 747
Klein, Felix, 747
Knight, W.D., 747
Kobussen, J.A., 399
Koch, Helge von, 712, 713
Kochin, Nikolaĭ Evgrafovich, 747
Koçak, H., 683, 745
Koenig, Samuel, 245, 480
Kolman, B., 753
Kolmogorov, Andrei Nikolaevich, 717
Kolosov, Aleksandr Aleksandrovich, 359
Kooy, J.M.J., 747
Koshlyakov, V.N., 747
Kosmodemyanskiĭ, A.A., 747
Kosyakov, B., 747
Kranz, C., 748
Krasovski, 541
Krbek, F., 748
Kron, G., 748
Kronecker, Leopold, 62
Krylov, Alekseĭ Nicolaevich, 559, 607, 748
Krylov (Kryloff), Vladimir Ivanovich, 747
Kuiper, G.P., 748
Kutta, 655, 667, 668
Kutterer, R.E., 748
Kuzimenkov, L.S., 751
Kuznetsov, Y.A., 748
Kwatny, H.G., 399
Lagrange, Joseph-Louis, 2, 24, 25, 45, 57, 59, 83,
92, 138, 144, 213, 217, 218, 245, 303, 335,
407, 412, 430, 436, 437, 438, 505, 566, 651,
671, 748
Lakhtin, L.M., 748
Laloy, M., 753
Lamb, H., 2, 748
Lamé, Gabriel, 261, 262
Lampariello, G., 748
Landau, Lev Davidovich, 2, 729, 748
Lantsosh, K., 748
Laplace, Pierre Simon de, 629
Larmor, Joseph, 253, 254
La Salle, J.P., 748
La Valée-Poussin, Charles Jean, 2, 748
Lebesgue, Henri, 355
Lecornu, L., 748
Leech, J.W., 748
Lefschetz, S., 748
Legendre, Adrien-Marie, 118, 119, 406
Leimanis, E., 748
Leipholz, H., 748
Lejeune-Dirichlet, Peter Gustav, 505
Leontovich, E., 739
Levi-Civita, Tullio, 188, 368, 427, 748
Lie, Sophus, 145, 148, 295, 298, 311
Liénard, 531
Lifshitz, E., 2, 748
Lindelöf, 411, 651, 657
Lindsay, R.B., 748
Lindstedt, 704
Liouville, Joseph, 84, 145, 149, 181, 202, 339, 341
Name Index
769
Lippmann, Horst, 748
Lipschitz, A.M., 422
Lipschitz, Rudolf, 21, 64, 122, 650, 654, 657
Littlewood, D.E., 748
Livens, G.H., 235
Loft, E.E., 750
Loitsyanski, L.G., 748
Lomont, J.S., 748
Lorentz, Hendrik Anton, 19, 374
Lorenz, Eduard N., 629, 723, 730, 731
Love, A.E.H., 264
Luca-Motoc, D., 755
Lurie, Anatoli I., 2, 115, 748
Lyapunov, Aleksandr Mikhailovich, 505, 510,
511, 534, 535, 537, 539, 541, 543, 544, 546,
547, 566, 607, 656, 723, 725, 726, 748
Lyubarskiĭ, G.Ya., 748
McCracken, M., 701, 749
MacDonald, G., 749
Mach, Ernst, 748
Macke, W., 748
Maclaurin, Colin, 1
Macmillan, W.D., 748
McLachlan, N.W., 749
Macomber, G.R., 743
Madan, R., 749
Maggi, G.A., 411, 474, 475
Magnus, K., 749
Maier, A., 739
Malkin, I.G., 749
Malvern, L.E., 749
Mandel, Jean, 749
Mandelbrot, Benoit B., 712, 719, 723, 749
Mandelstam, S., 757
Mangeron, Dumitru, 91, 92, 744, 749
Manneville, Paul, 729
Marchyuk, G.Z., 749
Marcolongo, Roberto, 749
Marinca, V., 751
Marion, J.B., 749
Marsden, J.Ernst, 701, 739, 749
Mathieu, E., 269, 607, 644, 672
Maunder, L., 740
Maupertuis, Louis-Moreau de, 1, 213, 242, 245
Mawhin, J., 753
Maxwell, James Clerk, 376
Mayer, 157, 403
Meirovich, I., 749
Mel’nikov, V.K., 723, 725, 726, 727
Melo, W. de, 751
Menger, 712, 714
Mercheş, I., 749
Mercier, A., 2, 749
Merkin, D.N., 749
Meshcherskiĭ, Ivan Vselovod, 749
Middlehurst, M.B., 748
Mihăilescu, E., 742
Mihăilescu, Mircea, 749
Mikhailov, 532
Miller Jr., W., 749
Milne, E.A., 655, 749
Minkowski, Hermann, 373, 378
Minorsky, N., 749
Mira, C., 744
Miron, Radu, 749
Mises, Richard von, 744
Mitropolskiĭ (Mitropolsky), Yu.A., 607, 741, 749
Mook, D.T., 750
Moon, F.C., 749
Moreau, J.J., 749
Morel, J., 741
Morera, G., 190
Morgenstern, D., 749
Morse, P.M., 690, 749
Mortici, C., 753
Moulton, 655
Mourre, L., 749
Munk, W., 750
Munteanu, Ligia, 742, 750, 754
Munteanu, M., 750
Murnaghan, F.D., 739, 750
Muszyńska, Agnieszka (Agnes), 750
Naimark, M., 750
Naumov, A.L., 750
Nayfeh, A.H., 750
Neĭmark, Yu.I., 411, 474, 702, 750
Nekrasov, A.I., 750
Nelson, W.C., 750
Neumann, John von, 41
Newbult, H.O., 750
Newton, Isaac sir, 20, 21, 213, 319, 331, 379,
397, 750
Nguyen, Quoc-son, 750
Nguyen, Van Hieu, 750
Nicolaenko, B., 741
Nicolis, G., 750
Nicorovici, Nicolae-Alexandru, 755
Nielsen, J., 88, 89, 750
Nikitin, E.M., 750
Nikitin, N.N., 742
Nitecki, Z., 750
Niţă, Mihai M., 750
Noether, Emmy, 300, 304, 306, 308, 311, 320,
327
Noll, Walter, 756
Nordheim, L., 160, 750
Novikov, S.P., 740
Novoselov, V.S., 411, 750
Nowacki, Witold, 750
Nyayapathi, V., 750
Obădeanu, Virgil, 390, 751
Okunev, V.N., 751
Olariu, S., 751
MECHANICAL SYSTEMS, CLASSICAL MODELS
770
Olkhovskiĭ, I.I., 751
Olson, H.F., 751
Olson, M., 740
Onicescu, Octav, 368, 373, 751
Oppenheim, I., 756
Osgood, W.F., 751
Ostrogradskiĭ, Mikhail Vasilievich, 213, 220,
232, 607, 751
Ott, E., 751
Ovsiannikov, V., 751
Painlevé, Paul, 69, 437, 498, 751
Palis, J., 726, 751
Pandrea, Marina, 751
Pandrea, Nicolae, 751, 754
Parker, T., 751
Pars, L., 76, 160, 356, 411, 751
Pascal, Blaise, 41
Pastor, M., 742
Pastori, Maria, 743
Pavlenko, M.G., 751
Peano, Giuseppe, 64, 123, 650, 712, 714, 716
Peitgen, H.O., 712, 751
Peixoto, M.M., 751
Percival, I., 752
Perry, J., 752
Petkevich, V.V., 752
Pérès, J., 752
Pfaff, Johann Friedrich, 2, 135
Picard, 651, 654, 657
Pignedoli, A., 739
Planck, Max Karl Ernst Ludwig, 752
Plăcinţeanu, Ion, 752
Pohl, R.W., 752
Poincaré, Jules Henri, 239, 341, 343, 348, 350,
354, 369, 512, 523, 547, 591, 607, 629, 633,
635, 636, 656, 678, 680, 716, 723, 724, 752
Poisson, Siméon-Denis, 138, 139, 143, 144, 145,
261, 752
Pol, Van der, 607, 670, 673, 723, 732, 734
Polak, L.S., 752
Pomeau, Yves, 727, 729, 737, 741, 745
Pontriaguine (Pontryagin), L.S., 407, 752
Poole, Ch.P., 744
Pop, Ioan, 741
Popescu, D., 756
Popoff, K., 752
Popov, V.M., 752
Posea, Nicolae, 752
Poston, T., 683, 752
Poteraşu, V.F., 756
Pöschl, T., 752, 757
Prager, Milan, 740
Prange, G., 752
Prigogine, Ilya, 682, 750, 752
Pyatnitskiĭ, E.S., 752
Quangel, J., 475
Racah, G., 752
Radeş, Mircea, 741
Radu, Anton, 752
Rausenberger, O., 752
Rawlings, A.L., 752
Rădoi, M., 752
Reichl, L.E., 752
Resnick, R., 745
Riccati, 651
Ricci, Gregorio, 429
Richards, D., 751
Richardson, K.I.T., 752
Richter, P.H., 751
Riemann, Georg Friedrich Bernhardt, 355
Ripianu, Andrei, 752, 755
Rocard, Y., 753
Rohrlich, F., 753
Roitenberg, L.N., 753
Roman, P., 752
Rose, N.V., 752
Roseau, Maurice, 753
Rouche, N., 753
Rousseau, 97
Routh, E.J., 79, 115, 131, 254, 529, 530, 550,
551, 566, 753
Roy, A.E., 753
Roy, M., 744, 753
Rössler, E.E., 730, 732, 745
Ruderman, M.A., 747
Ruelle, David, 629, 709, 723, 727, 729, 753
Runge, 655, 667
Ruppel, W., 743
Russel Johnston Jr., E., 740
Ryabov, Yu.A., 744
Sabatier, P.C., 390, 753
Safko, J.L., 744
Saletan, E.J., 399, 746, 753
Samuel, M.A., 750
Sanders, J.A., 753
Sansone, Giorgio, 753
Santilli, R.M., 356, 398, 753
Sarlet, W.I., 399
Sauer, R., 753
Saupe, D., 751
Savarensky, E., 753
Savet, P.H., 753
Sburlan, Silviu, 753
Scarborough, J.B., 753
Schaefer, Cl., 753
Schaeffer, D., 744
Scheck, Florian, 753
Scheifele, G., 755
Schild, A., 755
Schmutzer, E., 753
Schoenfliess, A., 753
Schuster, H.G., 729, 753
Scouten, 411
Name Index
771
Secu, A., 756
Sedov, Leonid I., 753
Seitz, F., 754
Sergiescu, V., 754
Serret, 208
Sestini, G., 754
Seydel, R., 683, 754
Shapiro, I.S., 754
Sharp, R.T., 754
Shaw, C.D., 739
Shaw, R., 754
Shigley, J.E., 754
Shub, M., 754
Siacci, F., 754
Siegel, C.L., 754
Sierpinski, Waclaw, 712, 713
Signorini, A., 754
Silaş, Gheorghe, 754
Simion, F.P., 757
Simpson, 667, 668
Slater, J.C., 754
Slătineanu, Ileana, 745
Smale, Stephen, 712, 723, 726, 727, 728, 745,
754
Smith, D.E., 754
Sneddon, Ian N., 754
Soare, Mircea, V., 660, 754
Sofonea, Liviu, 754
Somigliana, Carlo, 754
Sommerfeld, Arnold, 266, 365, 366, 747, 754
Soós, Eugen, 740, 754
Souriau, J.M., 754
Sparrow, C., 754
Spiegel, M.R., 754
Staicu, C.I., 754
Stan, Aurelian, 754
Stan, Ion, 744
Stănescu, Nicolae-Doru, 751, 754
Stäckel, P., 183, 360, 754
Stehle, P., 742
Stephan, W., 743
Stern, A., 750
Sternberg, S., 754
Stiefel, E.L., 755
Stewart, H.B., 756
Stewart, I., 683, 752
Stoenescu, Alexandru, 754, 755
Stojanović, R., 739
Stoker, J.J., 755
Stora, R., 746
Strelkov, S.P., 755
Stroe, I.V., 756
Strutt, John William (lord Rayleigh), 73, 593,
596, 646, 752
Suslov, Gavriil Konstantinovich, 755
Swamy, V.J., 750
Sylvester, James Joseph, 576, 755
Symon, K.R., 755
Synge, J.L., 390, 755
Szabo, I., 749, 753, 755
Szava, I., 755
Szebehely, V., 755
Szemplinska-Stupnika, W., 755
Ştiucă, Petru, 742
Tabor, M., 755
Tait, P.G., 755
Takens, Florens, 629, 729
Talle, V., 752
Targ, S., 755
Tenot, A., 755
Teodorescu, Nicolae, 755
Teodorescu, Petre P., 252, 660, 740, 747, 754,
755
Teodosiu, Cristian, 742, 754
Ter Haar, D., 115, 755
Thirring, W., 755
Thom, René, 629, 682, 755
Thoma, A., 745
Thompson, J.M.T., 755
Thomsen, J.J., 756
Thomson, J.J., 756
Thomson, William (lord Kelvin), 76, 756
Thornton, S.T., 749
Timoshenko, Stepan (Stephen) Prokof’evich,
607, 756
Tisserand, François Félix, 756
Tocaci, Emil, 752, 756
Tokuyama, M., 756
Toma, Ileana, 660, 663, 664, 754, 756
Torricelli, Evangelista, 26, 514
Troger, H., 756
Truesdell, Clifford Ambrose, 756
Trukhan, N.M., 752
Tsenov, I., 90, 91, 401
Tsiolkovskiĭ, Konstantin Eduardovich, 756
Ţăposu, I., 756
Ţiţeica, Gheorghe, 746, 755
Ueda, 724
Ungureanu, S., 756
Urrutia, L.F., 399
Uytenbogaart, J.W.H., 747
Vâlcovici, Victor, 230, 251, 252, 756
Verhulst, V., 753, 756
Vidal, Ch., 741
Vieru, D., 756
Vigier, J.-P., 745
Vilenkin, N.Ya., 756
Vitašek, E., 740
Vitt, A.A., 739
Voiculescu, Dumitru, 752, 756
Voinaroski, Rudolf, 756
Voinea, Radu, 756
Voltaire (Arouet, François Marie dit), 245