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Stratonovich R.L. — Topics in the Theory of Random Noise Vol 2
Stratonovich R.L. — Topics in the Theory of Random Noise Vol 2



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Название: Topics in the Theory of Random Noise Vol 2

Автор: Stratonovich R.L.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1967

Количество страниц: 346

Добавлена в каталог: 19.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
ambient noise      193
Ambient noise, effect on oscillator of slowly varying      193—221
Amiantov, I.N.      68
Amplification factor of a parametric amplifier      306 312 313 318
Amplitude correlation time      191
Barit, I.Y.      323
Bateman, H.      27 28 30 42
Bershtein, I.L.      324
Bogoliubov's method      100 ff.
Bogoliubov, N.N.      98 100
Bunimovich, V.I.      323
Carslaw, H.S.      25
Carson — Laplace transform      25
Carson — Laplace transform, inverse      35
Critical damping coefficient      281 282 285 288 290 297—298 300—301
Dead time      75
Diffusion coefficient      122 133 156 165 167 256 270
Emde, F.      263
Equations in standard form      98 ff.
Equivalent noise variance      184
Excess area      70
External noise, effect on oscillator of      170—192
External synchronization      222
False alarms      74
False alarms, number of      76—77
False peak      3
Flicker noise      203
Flicker noise, effect of, on frequency of oscillator      203—206
Fluctuational terms, simplification of      105—113
Fokker — Planck method      120—127
Fully developed oscillations      183 185
Generated signal, amplitude distribution of      123 158 183
Generated signal, amplitude moments of      124—127 185—186
Generated signal, correlation function of      160 176 192 200 205 232
Generated signal, phase distribution of      175—176 236—238
Generated signal, special density of      160 177 192 201—203 205 208 233 258
Generated signal, spectral structure of      161 273
Gradstein, I.S.      27 29 31 32 127 144 145 213 238 243 245 246
Gudzenko, L.I.      324
Heffner, H.      324
Internal noise      147
Internal noise, effect on oscillator of      147—169
Jaeger, J.C.      25
Jahnke, E.      263
Jitter      80
Khokhlov, R.V.      222
Krylov — Bogoliubov method      103
Kuznetsov, P.I.      68 323—325
Leontovich, M.A.      323
Linearization method      127—133
Markov process, amplitude fluctuations as      120—127
Markov process, duration of peaks of      21—50
Markov process, mean number of peak clusters of      7—17
McFadden, J.A.      323
Mean density of peaks      6
Mean first-passage time      12
Mean number of peaks of a random function      3—20
Mean number of peaks of a smoothly varying process      4—7
Mismatch      227 292
Mitropolsky, Y.A.      98
Nonlinear self-excited oscillations      87 ff.
Nyquist's formula      147
Oscillator      90 ff.
Oscillator, basic equations of      91—93
Oscillator, effect of fluctuations of anode voltage on      147—169
Oscillator, effect of strong external noise on      170—192
Oscillator, effect of weak internal noise on      147—169
Oscillator, frequency fluctuations of      207—215
Oscillator, frequency fluctuations of, case of large independent phase increments      207—210
Oscillator, frequency fluctuations of, case of small independent phase increments      210—215
Oscillator, noise-modulated      215—221
Oscillator, noise-modulated, correlation function of      216
Oscillator, noise-modulated, spectral density of      217 ff.
Oscillator, signat generated by      see "Generated signal"
Oscillator, subject to strong synchronization      258—272
Oscillator, subject to synchronization      see "Synchronized oscillator"
Oscillator, synchronization of      222—276
Oscillatory functions      99
Oscillatory terms, elimination of      100 ff.
Panially developed oscillations      183 185
Parametric amplification      305
Parametric oscillations      277—321
Parametric oscillations, amplitude distribution of      302—305
Parametric oscillations, basic equations of      279—282
Parametric oscillations, involving simultaneous harmonic and fluctuational excitations      291—302
Parametric oscillations, narrow-band quasi-harmonic      282—286
Parametric oscillations, phase distribution of      294
Parametric oscillations, rapid      286—291
Parametric systems with two branches      305—321
Peak clusters      9
Peak clusters, mean number of      7—20
Peak durations of a Markov process      21—50
Peak durations, distribution of      56—58 62—63 67—68
Peak durations, unnormalized probability density of      36—39
Phase diffusion      133 156 167 290
Phase diffusion, effect of amplitude fluctuations on      167
Phase relaxation lime      282
Podgoretski, M.I.      323
Positive feedback      87
Quasi-static method      134—141
relays      3 ff.
Relays, electronic      73
Relays, false operation of      4
Relays, operating time of      80 ff.
Relays, operating time of, jitter of      80—84
Relays, operating time of, probability density of      83—84
Relays, operating time of, variance of      83
Rice's method      220
Rice, S.O.      324
Romanovski, Y.M.      324
Ryshik, I.M.      27 29 31 32 127 144 145 213 238 243 245 246
Rytov, S.M.      324
Shot noise      147 ff.
Shot noise, low intensity of      149
Shot noise, periodic nonstationarity of      162—165
Silverman, R.A.      7
Simplified equations      99 ff.
Simplified equations, methods of solving      120—146
Simplified equations, methods of solving, summary of applicability of      141—144
Skipped peaks      70
Skipped peaks, number of      79
Small-fluctuation condition      9 20
Smoothed process, peaks of      43—45
Smoothing time      8 51
Smoothly varying noise, area under      68—72
Smoothly varying noise, duration of      52—68
Smoothly varying noise, duration of, experimental distribution of      67—68
Smoothly varying noise, peaks of      52 72
Smoothness condition      4
Space-charge smoothing factor      155
Steepness      94
Stiffness      230
Stiffness, amplitude      231
Stiffness, azimuthal      271
Stiffness, phase      231
Stiffness, radial      271
Stratonovich, R.L.      7 68 323—325
Synchronization bandwidth      227
Synchronized oscillator, amplitude distribution of      235 260 262
Synchronized oscillator, basic equations of      223 ff.
Synchronized oscillator, diffusion of number of oscillations in      256
Synchronized oscillator, large phase deviations in      248 ff.
Synchronized oscillator, mean frequency of      241—247
Synchronized oscillator, mean frequency of, dependence of, on mismatch      243—247
Synchronized oscillator, phase jumps in signal generated by      254—256 262
Synchronized oscillator, stationary amplitude of      226—227
Synchronized oscillator, stationary phase distribution of      234 ff.
Thomson type, systems of      97
Tikhonov, V.I.      68 323—325
Triggered process      39
Triggered process, correlation function of      39 41
Truncated equations      100 151
Undeveloped oscillations      183 184
Upper cutoff frequency      8
Vacuum-tube oscillator      see "Oscillator"
Wade, G.      324
White noise component      162
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