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| Greiner W. — Classical mechanics. Systems of particles and hamiltonian dynamics |
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| Предметный указатель |
Acceleration, centripetal 8 11
Acceleration, Coriolis 8 35
Acceleration, gravitational 11
Acceleration, linear 8
Action function 400
Action function, Hamilton 386
Action quantum, Planck 410
Action variable 391
Action waves 401
Air resistance 330
Amplitude modulation 89
Angle variable 391
Angular frequency 110
Angular velocity 5 7
Anticyclone 34
Approximation, successive 14
Arnold tongues 493
Asymptotic stability 427
Attractor 423
Attractor diagram 481 484 499
Attractor, chaotic 425 464
Attractor, strange 425 467 501
Atwoods fall machine 77
Autonomous system 419 421 449
Baker transformation 466 473
Bascule bridge 284
Basin of attraction 425
Beat vibrations 86
Bernoulli shift 474 486
Bessel functions 152
Bessel's differential equation 149
Bifurcation 452
Bifurcation cascade 480 482
Bifurcation, static 452
Bifurcation, subharmonic 459
Bifurcation, time-dependent 457
Billiard ball 184
Body, rigid 39 165
Boundary condition, Dirichlet 126
Boundary condition, periodic 149
Brachistochrone 357
Branching 452
Branching, Hopf 456
Branching, pitchfork 454 477
Branching, saddle-node 453
Branching, transcritical 455
Butterfly effect 462
Canonical transformation 380
Cantor set 467 471
Capacity dimension 470
Cardano formula 118
Casus irreducibilis 122
Catenary 355
Center of gravity 43
Center of gravity, circular cone 47
Center of gravity, pyramid 45
Center of gravity, semicircular disk 46
Center-of-mass coordinates 72
Central field, scattering in 51
Central forces 68
Central motion 346
Centrifugal force governor 335
centripetal acceleration 8 11
Chain, vibrating 90
Chandler period 226
Chaos 417
Chaotic attractor 425 464
Characteristic equation 196
Charged particle 327
Chasles' theorem 41
Chirikov criterion 508
Circular mapping, dissipative 491
Circular mapping, one-dimensional 491
Cluster property 44
Collision parameter 53
Conditionally periodic 159
Cone pendulum 30
Configuration space 364
Constraints 271 274
Constraints, generalized 316
Constraints, holonomic 271
Constraints, nonholonomic 271 314
Constraints, rheonomic 271
Constraints, scleronomic 271
Continuity equation 367
Continuum 39
Contracting flow 423
Control parameter 419
Cooling of particle beam 374
Cooling, stochastic 369
Coordinate system for rotating earth 10
Coordinate system, body-fixed 192
Coordinate system, center-of-mass 54 72
Coordinate system, rotating 3 7
Coordinates, generalized 271 274 275 420
Coordinates, ignorable (cyclic) 291
Coriolis acceleration 8 35
Coulomb scattering 57
Couple of forces 165
Coupled mass points, vibrations 83
Coupled pendulums 87
Critical point 425
Cross section, differential 52
Cross section, Rutherford 56
Cycloid 135 306
Cyclone 34
D'Alembert principle 279
Deformable medium 39
Degeneracy 141
Degrees of freedom 41
Determinant of coefficients 93
Deterministic 419 462
Deviation moments 168 192
Devil's staircase 493
Differential cross section 52
Differential principles 351
Dimension capacity 470
Dimension, broken 465 467
Dimension, fractal 469
Dimension, Hausdorff 472
Dimension, Lyapunov 503
Dirichlet conditions 126
Discrete systems 475
Discretization 444 489
Dispersion law 110
Displacement, virtual 279
Dissipation 420 421 423
Dissipation function 328
Dissipative circular mapping 491
Double pendulum 303
Dynamical system 419
Earth, nutation of 225
Eastward deflection 13 18
Eclipse 241
Ecliptic 236
Eigenfrequency 84 141
Eigenmodes, orthonormal 158
Eigenvalue 195
Eigenvector 195
Eigenvibrations 84
electromagnetic field 327
Ellipsoid of inertia 203
Ellipsoid of inertia, quadratic disk 210
Ellipsoid of inertia, regular polyhedron 226
Ellipsoid, rotating 227
Energy law 69
Equation, characteristic 196
Equilibrium solution 425
Ergodic system 463 488
Euler angles 249
| Euler equations 222
Euler — Lagrange equation 355
Externally excited system 443
Fall machine, Atwoods 77
Feigenbaum constant 481
Figure axis 216
Fixed point 425 464 475
Fixed point, unstable 427
Floquet multiplier 448 450
Floquet's theory of stability 447
Flow of a vector field 420
Force, generalized 277
Force, Lorentz 324
Force, nonconservative 328
Foucault's pendulum 23
Fourier coefficients 126
Fourier series 125
Fractal 466
Fractal dimension 469
Free fall 10
Frequency spectrum, (an)harmonic 141
Friction force 214
Friction parameter 496 501 503
Friction tensor 329
Function, even (odd) 127
Function, homogeneous 344
Fundamental harmonic 141
Galaxy, flattening of 68
Generating function 381
Gravitational acceleration 11
Gyrocompass 240
Gyroscope 238
Hamilton principle 351
Hamilton — Jacobi theory 386
Hamilton's equations 341 343 363
Hamiltonian 342
Hamiltonian mechanics 420
harmonic oscillator 384
Hausdorff dimension 472
Herpolhodie 219
Hockey puck 182
Holonomic 271 293 330
Hopf branching 456
Hydrogen atom 411
Hyperion 503
Inertial system 3
Information dimension 473 503
Integrability condition 272
Integral principles 351
Iteration method 14
Iterative mapping 475
Jacobi matrix 426 449
Kaplan — Yorke relation 503
Kepler problem 393
Kepler's law 506
kinetic energy 73
Kinetic energy of a rotating rigid body 193
Koch curve 467 471
Laboratory system 3
Lagrange equations 289
Lagrange equations, nonholonomic constraints 314
Lagrange multipliers 314
Lagrangian 289
Legendre transformation 341
Libration 497
Limit cycle 432 434 440 449 458 464
Linearization 425
Liouville theorem 365 421
Lissajous figure 160
Logistic mapping 477 481 486
Lorentz force 324
Lorenz 462
Lyapunov dimension 503
Lyapunov exponent 461 466 510
Lyapunov exponent, logistic mapping 484 488
Lyapunov exponent, maximum 463 500
Mandelbrot 465
Many-body system 66
Mapping, iterative 475
Mapping, logistic 477 481 486
Mapping, one-dimensional 460 476
Mapping, Poincare 446 460 475 496
Mapping, stroboscopic 444
mass density 45
Mass, reduced 74
Membrane, circular 146
Membrane, rectangular 138
Membrane, vibrating 136
Mercury 508
Mode locking 492 495
Molecule, asymmetric linear 302
Molecule, three-atom 297
Molecule, triangular 300
Moment of inertia 166 504
Moment of inertia, circular cylinder 168
Moment of inertia, cube 173
Moment of inertia, rectangular disk 170
Moment of inertia, rigid bodies 179
Moment of inertia, sphere 172
Momentary center 49
Momentum space 364
Momentum, generalized 289
Momentum, linear 66
Monodromy matrix 447
Motion, central 346
Neutron star, vibrating 229
Newton's equations, arbitrary relative motion 8
Newton's equations, rotating coordinate system 3 7
Nodal line 142
Node 100 428 454
Nonconservative forces 328
Nonholonomic 314 331
Nonlinear dynamics 417
Normal frequencies 86 302
Normal vibrations 84 109
North Pole, geometrical 226
North Pole, kinematical 226
Nutation 220
Nutation cone 219
Nutation of earth 225
One-dimensional mapping 460
Orbit 420
Orthogonality relation for trigonometric functions 126
Oscillator, harmonic 384
Oscillator, nonlinear 430
Oscillator, Rayleigh 433
Oscillator, Van der Pol 433 438
Overtone 111 141 154
Parabola, Neil 402
Paraboloid 319
Path stability 442
Peano curve 471
Pendulum length, reduced 175
Pendulum watch 492
Pendulum, cone 30
Pendulum, coupled 87
Pendulum, double 303
Pendulum, Foucault 23
Pendulum, periodically driven 496
Pendulum, physical 171
Pendulum, plane 364
Pendulum, rolling 175
Pendulum, string 308
Pendulum, theories 346
Pendulum, upright 294 295
Period, Chandler 226
Period-doubling 459 477 478 497
Periodic attractor 492
Periodic solution 443
Perturbation calculation 12
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