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Holmes P., Lumley J.L., Berkooz G. Ч Turbulence, Coherent Structures, Dynamical Systems and Symmetry
Holmes P., Lumley J.L., Berkooz G. Ч Turbulence, Coherent Structures, Dynamical Systems and Symmetry

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Ќазвание: Turbulence, Coherent Structures, Dynamical Systems and Symmetry

јвторы: Holmes P., Lumley J.L., Berkooz G.

јннотаци€:

First-time paperback of successful book on turbulence by very well known authors.


язык: en

–убрика: ‘изика/Ќелинейна€ динамика, ’аос/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1996

 оличество страниц: 420

ƒобавлена в каталог: 10.09.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Almost-parallel flow      45 50 55 308
Asymptotic stability      165 211Ч213 222
Attractor      6 11 83 84 103Ч107 159 187Ч200
Attractor heteroclinic      12 84 222Ч224 262 266 374
Attractor homoclinic      83 267Ч269 343Ч344
Attractor Lorenz      7 11 189Ч200 390
Attractor quasiperiodic      6 7
Attractor strange      6 7 11 83 188Ч189 378 382
Autocorrelation function      22 89 93 94
Autocorrelation tensor      90 91 395
Average      17
Average conditional      44
Average ensemble      17 18 28Ч29 48 88
Average space      18 28Ч29 277
Average time      18 28Ч29 277
Averaging      21 48Ч61 88 91Ч93 122Ч124 276Ч277 307 382Ч384
Bifurcation      7 9Ч12 31 174Ч187
Bifurcation diagram      174 183 248 318
Bifurcation global      186Ч187
Bifurcation local      174Ч186 206Ч207 231
Bifurcation sequence      6 7
Bifurcation theory      8 11 174
Bifurcation value      174
Bluff body      33
Boundary condition(s)      20 130Ч131 133 139 151Ч152 278 299 368Ч369 391Ч395
Boundary layer      9Ч11 45 63Ч82 117Ч120 275Ч346 355Ч360 368Ч372
Braids (mixing layer)      32 63
Buffer layer      71 297
Burgers equation      109 121 136Ч138
Burst-sweep cycle      76Ч78 118 315Ч316 326Ч328 338Ч340 374
Center manifold      11 163 165Ч166 174Ч180 232Ч236 378
Center manifold theorem      11 175
Channel flow      109 146 297 304 309 343 368Ч372
Chaos      6 7 189 335 359 382 386
Coherent structure      6 8 10 11 20Ч86 244 277Ч278 280 295 303 380Ч381
Compactness      124Ч125 127Ч128
Control      13 373Ч375 382
Correlation      59 351
Correlation function      38
Cross-section      167Ч8
Dense orbit      188 196
Dirac delta      18
Direct numerical simulation (DNS)      23 46 146 343 355 369 387 395Ч396
Displacement thickness      68
Dissipation      21Ч23 25 55Ч57 59 61 72 387
Domain (basin) of attraction      159
Drag coefficient      70
Duffing equation      260 262Ч264
Dye tracers      41Ч42
Eddy viscosity      9 149 180 280 311Ч314 316Ч317 334 396
Einstein notation      18 19
Empirical eigenfunction      74Ч75 89 148Ч150 281Ч282 297Ч298 301Ч303
Empirical eigenfunction optimality      97Ч100
Empirical eigenvalue      91
Empirical eigenvalue, exponential decay of      104Ч107
Energy budget      299Ч305 358
Energy kinetic      8 16 21
Energy transfer      9 21 57Ч58 280 314 343 358 362 364 373
Energy turbulent      21 55
Entrainment      45Ч46 53Ч54 61
Entropy production      56
Equilibrium point      160
Equivariant normal form      12 217 236
Equivariant ODE      11 102Ч103 202Ч205
Equivariant vector field      202Ч205 216
Ergodic theory      198Ц199
Ergodicity      93 188 198Ч199 387
Euclidean space      14
Eulerian viewpoint      27Ч28
Fixed (equilibrium) point      160
Fixed (equilibrium) point stable      165
Fixed (equilibrium) point unstable      165
Flow map (dynamical system)      161 170
Flow visualisation      39Ц44
Fourier decomposition (representation)      88 100
Fourier mode      93 100 215Ч216 224Ч226 229Ч230 295 357
Fourier series      87 228
Fourier transform      94 281 284
Fourier wavenumber      101
Friction velocity      22 64 73 342
Fundamental solution matrix      160
Galerkin method (projection)      8 11 12 129Ч154 229Ч231 284Ч292
Gaussian (normal) distribution      256
Generic properties      173
Geometric thickness      22 72
Ginzburg Ч Landau equation      109 121 349 367
Gronwall's inequality      145Ч146 383Ч384
Hartman Ч Grobman theorem      161
Heteroclinic cycle      12 210Ч215 221Ч224 237Ч240 258Ч267 321Ч326 335 338 343Ч344 371
Heteroclinic orbit      173 186 208 210Ч211 221 322
Hilbert space ($L^{2}$)      15Ч16 88Ч97 130Ч131
Homoclinic bifurcation      186 199Ч200
Homoclinic orbit      83 173 186Ч187 211Ч213
Homogeneity      28 100Ч101 113Ч116 148 351 362
Hopf bifurcation      183Ч184 223
Hot film      43
Hot wire      43
Hydrodynamic stability      8
Hydrogen bubble technique      40Ч41
Hyperbolicity      165 172 189 271
Indicator function      18
Inertial sublayer      70
Infimum (greatest lower bound      15
Inner product      15
Inner product $L^{2}$      15 16
Inner product, finite-dimensional      15
Instabilities      31Ч34 77
Integral scale      22
Intermittency      48
Invariant function      203 216
Invariant measure      18 122Ч125 197Ч199 381Ч384 387Ч390
Invariant set      6 159 188
Invariant subspace      102Ч103 162 205 220Ч221 319 322 337
Jacobian matrix      160
jet      36 45 120 350Ч355
Karhunen Ч Loeve (proper orthogonal) decomposition (POD)      8 39 86Ч128 382
Karman constant      70
Karman vortex street      40 365
Kelvin Ч Helmholtz instability      32 33 61 63
Kolmogorov (Fokker Ч Planck) equation      255
Kolmogorov microscale      22 25 43 147
Kronecker delta      18
Kuramoto Ч Sivashinsky equation      12 121 227Ч252 292 343 349
Lagrangian viewpoint      27
Langmuir cell      36 62 79
Langmuir circulation      37 82
Langmuir instability      81 82
Large eddy simulation (LES)      147 148 330 387 395Ч396
Laser Ч Doppler velocimeter      44
Lebesgue measure      18 198
Leonard stresses      279 311
Liapunov function      220 320
Limit cycle      166
Linearisation      11 159Ч166
Lipschitz constant      17
Lipschitz function      17
Logarithmic layer      73 297
Lorenz equation      189Ч200 390
Low-speed streak      76 77 79 80 335
Manifold inertial      13 147 180 377Ч8 391Ч395
Manifold invariant      6 8 11 159Ч166 168
Mean values      28
Mixing (dynamical system)      198Ч199
Mixing layer      11 32 36 44Ч63 121 350 355 360Ч364
Modelling (of neglected modes, Etc.)      9 149Ч153 279Ч280 303Ч314
Modulated travelling wave      218 237Ч238 272 323Ч324 354
Momentum thickness      22
Navier Ч Stokes equations      7 8 11 18Ч19 20 23 84 139Ч144 228 276Ч281 391Ч395
Navier Ч Stokes equations, averaged      11 48 140 278 397
Navier Ч Stokes equations, exact solutions      23
Navier Ч Stokes equations, non-dimensionalisation      25 280Ч281
Navier Ч Stokes equations, numerical solution      46
No-slip (boundary) condition      24 25
Non-wandering set      159Ч160
Norm      15
Norm $L^{2}$      16
Norm Euclidean      15
Norm supremum      15
Normal form      11 181Ч184
Ornstein Ч Uhlenbeck process      254Ч259
Orr Ч Sommerfeld eigenfunction      356 357
Pattern recognition      116Ч117
Period-doubling bifurcation      185
Phase (state) space      6 9 10 18 28 83Ч84 131 159Ч160
Phase portrait      159
Pitchfork bifurcation      179 183
Pitchfork bifurcation O(2)-equivariant      206Ч207
Poincare (return) map      166Ч169 184 191
Power spectrum      94 114Ч116 243 267Ч269
Quasiperiodic solution (flow)      6 7 218 224Ч225 359
Rayleigh Ч Benard problem      7 121 190 209
Reflection invariance      9 11 215Ч216 229 283 344 351 355
Reynolds number      21Ч23 25
Reynolds stresses      37 38 50 51 76 77 81 300Ч301 303 327Ч328 343 353 364 379
Rollers (mixing layer)      62Ч63
Rotation invariance      9 344
Saddle      165
Saddle-node bifurcation      174 182
Schlieren technique      40
Self-similarity      50Ч51 351
Sensitive dependence on initial conditions      158 189 195
Separatrix      159
Set closed      15 16
Set compact      16
Set dense      173
Set open      15 173
Shadowgraph technique      40
Shear flow      36 38 39 57 62 76 120Ч121
Shear layer      32 354
Shear stress      22 64 78
Shot noise      82 113Ч116
Sink      165
Smoke wire technique      40Ч41
Snapshots (method of)      108Ч109 361 366
Sobolev space      130
Source      165
span      94Ч7
Stable manifold      162Ч164
Stable manifold global      163
Stable manifold local      162Ч163
Stochastic estimation      110Ч113 355
Strain rate      21 56 57 59 60
Structural stability      6 11 169Ч173 199Ч200 208 323 386Ч387
Subgrid scale (Heisenberg) model      279 311Ч314
Supremum (least upper bound)      15
Symbolic dynamics      195Ч7
Symmetry      8 9 12 23 75 100Ч103 126Ч127 201Ч226 282Ч284
Symmetry breaking      12 269Ч272
Symmetry group      7 9 126Ч127 202Ч203
Taylor Ч Couette flow      7 344
Tensor      18
Tensor product      17
Tollmien Ч Schlichting instability      31 120 356 359
Topological equivalence      162 170 172
Transcritical bifurcation      182
Translation invariance      9 11 215Ч216 229 283 344 356
Trapping region      153 166 167 189Ч190 220 320
Travelling wave      218Ч219 225 226 237Ч240 272 318 323Ч324
Unfolding      8 182Ч185
Unstable manifold      162Ч164
Unstable manifold global      163
Unstable manifold local      162Ч163
van der Pol equation      166
viscosity      6
Viscosity dynamic      22 64
Viscosity kinematic      20 64
Viscous stress      21 49 56
Viscous sublayer      70 73
Vortex core      79
Vortex line      62 79 80
Vortex necklace      81
Vortex ring      42
Vortex shedding      33 34
Vortex stretching      314 364
Vortices      353
Vortices counter-rotating      26
Vortices hairpin      36 79
Vortices lambda      79 81 119 356 360
Vortices streamwise      36 80 319 326
Vorticity      3
Wake      36 45 364Ч368
Wake (outer) region      64Ч65
Wall region      9 64Ч65 74 75 78 83 84 278 295Ч299 368Ч372
Wall units      64Ч65 69 75 278
Wavelets      250 374 397
Weak solutions      133
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