|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Cvitanovic P., Artuso R., Dahlqvist P. — Classical and quantum chaos |
|
|
|
| Предметный указатель |
Obscure, jargon 198
Obscure, topology 49 60
Observable 103 118
ODE see "Ordinary differential equations"
Open systems 123
Operator, evolution 125
Operator, Hilbert — Schmidt 682
Operator, Koopman 105 109
Operator, Liouville 109
Operator, norm 76
Operator, Perron — Frobenius 100 130
Operator, positive 682
Operator, regularization 689
Operator, resolvent 107
Operator, semigroup, bounded 107
Operator, shift 201
Operator, trace-class 681
Orbit 35
Orbit, inadmissible 213
Orbit, Keplerian 480
Orbit, periodic 201 514 516
Orbit, returning 514
Order preserving map 213
Ordering, spatial 215
Ordinary differential equations, almost 52
Orientation, preserving map 64
Orientation, reversing map 64
Oseledec multiplicative ergodic theorem 131
Palpitations, chicken hearts 5
Parabolic partial differential equations 46
Paradise, this side of 319
Partial differential equations 45
Partition 198 202
Partition function 130
Partition, generating 202
Partition, infinite 254 257
Partition, Markov 200
Partition, phase space 98
Past topological coordinate 220
PDE see "Partial differential equations"
Period, doubling, repeller 328
Period, relation to action 541
Periodic orbit 201 514 516
Periodic orbit condition 269
Periodic orbit extraction 269—283
Periodic orbit extraction, Hamiltonian repeller 290
Periodic orbit extraction, inverse iteration 270
Periodic orbit extraction, multipoint shooting 272
Periodic orbit extraction, Newton’s method 271—273
Periodic orbit extraction, relaxation algorithm 280
Periodic point 10 20 201
Periodic point, admissible 243
Periodic point, count 249
Periodic point, unstable 11
Perron — Frobenius matrix 240
Perron — Frobenius operator 100 130 170
Perron — Frobenius theorem 185 191 465
Phase space 34
Phase space, 3-disk 676
Phase, space, partition 98
Piecewise linear model, intermittency 352
Piecewise, constant functions 139
Piecewise, linear maps 375
Pinball 4 see
Plain English 201
Plemelj — Smithies cumulants 686
Poincare — Cartan theorem 490
Poincare, return map 57
Poincare, return map, polynomial 61
Poincare, section 10 11 57 65 216
Poincare, section, 3-disk 65
Point scatterers 574
Point, non-wandering 36
Point, periodic 10 201
Point, wandering 35
Poisson bracket 108 109
Poisson resummation 21
Poisson summation 369
Poly logarithm 354
Polynomial characteristic 245
Polynomial topological 248
Pomeau, Y. 66
Positive operators 682
Potential, partial differential equations 46
Power law, correlation decay 351
Pressure 130
Pressure, thermodynamic 130
Prime cycle 138 201 261 269
Prime cycle, 3-disk 204 261 283
Prime cycle, count 250
Prime cycle, Henon map 282
Primitive cycle see "Prime cycle"
Propagator 482
Propagator, semiclassical 493
Propagator, short time 494 503
Propagator, Van Vleck 496
Pruning 9 349
Pruning block 202
Pruning, front 221
Pruning, golden mean 246
Pruning, individual cycles 251
Pruning, primary interval 214
Pruning, symbolic dynamics 202
Pseudocycles 294
Quadratic map 63
Quantization, Bohr — Sommerfeld 480
Quantization, semiclassical 513
Quantum, chaology 26
Quantum, chaos 27
Quantum, evolution 482
Quantum, interference 484
Quantum, mechanics 480
Quantum, potential 504
Quantum, propagator 482
Quantum, resonances 23
Quantum, theory, old 609
Radius of convergence 147
Random matrix theory 26
Recoding 203 206
rectangle 218
Rectification, flows 43
Recurrence 36 198
Recurrence, time see "Return time"
Regularization 519 532
Regularization, Green’s function 518
Regularization, operator 689
Relaxation algorithm 280
Renormalization 67
Repeller 24 36 123
Repeller, single fixed point 170
Representation, character 658
Representation, equivalent 659
Representation, faithful 659
Representation, matrix 658
Representation, regular 659
Representative point 34
Residue, stability 83
Resolvent operator 107
Resolving kernel 175
Resonances, complex 23
Resonances, quantum 23
Resummation, intermittency 368
Return map 11 14 216
Return time 372
Return time, distribution 373
Returning orbit 514
Reversible dynamics 37
Riemann zeta function 308
Roessler system 39 208 210
Ruelle 26
| Ruelle zeta function see "Dynamical zeta function"
Runge — Kutta integration 54
Running orbits, Lorentz gas 411
Rutherford 529
Rydberg series 543
S gradient, system 53
Saddle point see "Stationary phase"
Saddle-node, bifurcation 66
Sawtooth map 383
SBR measure see "Natural measure"
Scatterer, point 574
Scattering, 3-dimensional spheres 92
Schroedinger equation 480
Schroedinger picture 681
Schroedinger, E. 105
Schwartz 47
Section, Poincare 11 57 65
Selberg product, eigenvalue index 171
Self-retracing cycle 539
Self-similar 20
Semiclassical approximation 485
Semiclassical density of states 517
Semiclassical Green’s function 505 511
Semiclassical propagator 493
Semiclassical quantization 513
Semiclassical spectral determinant collinear helium 546
Semiclassical wave function 491
Semiclassical, semiclassical zeta function 520
Semigroup 106
Semigroup, dynamical 37
Semigroup, evolution 126
Semigroup, operator 107
Sensitivity to initial conditions 5 126
Set, non-wandering 217
Shadowing 17 255
Shadowing, 3-disk 303
Shift 201
Shift, Bernoulli 175
Shift, finite type 202
Shift, full 201
Shift, map 426
Shift, operator 201
Shift, sub-shift 202
Sinai 26
Sinai — Bowen — Ruelle measure see "Natural measure"
Single fixed point, repeller 170
Single fixed point, spectral determinant 170
Singularity, branch point 358
Sivashinsky, G.I. 50
Skeleton of chaos 9 11
Smale 8 26 160 215 228
Smale wild idea 149 159
Smale, S. 257 604
Smooth conjugacy 41 53 91 697
Smooth dynamical system 55
Smooth dynamics 17 18 29 34 255 466 469 471 604
Smooth dynamics, approximated 671
Smooth dynamics, Spectral determinant 190
Smooth interaction 472
Smooth measure 119
Smooth potential 67
Sommerfeld diffraction 570
Space, analytic functions 172
Space, average 103
Space, averaging 120
Space, density functions 139
Spectral determinant 21 148 243
Spectral determinant for flows 149
Spectral determinant, 1-d maps 155
Spectral determinant, 1-dimensional 521
Spectral determinant, 2-d hyperbolic Hamiltonian flow 156
Spectral determinant, 2-dimensional 522
Spectral determinant, entire 149 171
Spectral determinant, infinite product rep. 150
Spectral determinant, single fixed point 170
Spectral determinant, weighted 156
Spectral radius 176
Spectral radius, essential 172
Spectral stability 419
Spectral staircase 484
Spectrum, Balmer 480
St. Augustine 97
Stability, billiards 83
Stability, cycle 283
Stability, eigenvalues 89 137
Stability, exponents 89
Stability, flow 80
Stability, Hamiltonian flow 614
Stability, Hamiltonian flows 82 611
Stability, linear 73
Stability, maps 86
Stability, neutral see "Marginal"
Stability, ordering, cycle expansions 305
Stability, ordering, intermittent flows 307
Stability, residue 83
Stability, spectral 419
Stability, structural 218 221 256 419
Stability, window 90
Stable cycle 88
Stable manifold 14 91 216
Stable manifold, flow 91
Stable manifold, map 91
Stagnation point 39 see
Staircase, mean eigenvalue density 546
Staircase, spectral 484
Standing orbit, Lorentz gas 411
State 198 203
State set 198
State space 34 see
Stationary flow 39
Stationary phase approximation 496 498 509 515 561 573 717
Stationary point 39 see
Stationary state 102
Statistical mechanics 22
Sterling formula 509
Stochastic dynamics 5
Stochastic flow 99
Stochasticity assumption 372
Stokes theorem 490
Stosszahlansatz 23 422
Strange Attractor 126
Strange, attractor 36 40
Stretch&fold dynamics 62
Stretch&fold flow 211
Strobe method 57
Structural stability 218 221 256 419
Subshift 202
Subshift, finite type 203 204 221 224
Superstable cycle 88
Surface of section, optimal 278
Survival probability 13 see
Symbol, sequence, inadmissible 202
Symbol, square 218
Symbolic dynamics 8 198 200
Symbolic dynamics, 3-disk 32 204 233
Symbolic dynamics, binary collinear helium 537
Symbolic dynamics, coding 202
Symbolic dynamics, coding, Markov graph 304
Symbolic dynamics, complete 211 218
Symbolic dynamics, grammar 202
Symbolic dynamics, Henon — Heiles 400
Symbolic dynamics, pruned 202
Symbolic dynamics, recoding 203 206
Symbolic dynamics, unimodal 211
Symbolic, dynamics 328
Symbolic, dynamics at a bifurcation 67
Symbolic, dynamics, complete N-ary 199
Symbolic, dynamics, covering 201
Symmetries, Henon map 63
Symmetry,  397
|
|
|
| Реклама |
|
|
|
|
|
О проекте