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| Cvitanovic P., Artuso R., Dahlqvist P. — Classical and quantum chaos |
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| Предметный указатель |
Flow, deterministic 99
Flow, generator of 106
Flow, Hamiltonian 40 64
Flow, hyperbolic 83 158
Flow, incompressible 82 618
Flow, infinite-dimensional 45 59
Flow, inverse hyperbolic 83
Flow, linearized 74
Flow, spectral determinant 149
Flow, stability 80
Flow, stationary 39
Flow, stochastic 99
Flow, stretch&fold 211
Flows, linear 75
Fourier, mode 46
Fourier, mode, spatial 48
Fourier, mode, truncation 49
Fractal 338
Fractal, aggregates 2 328
Fractal, dimension 339
Fractal, geometry of nature 2
Fractal, probabilistic 2
Fractal, science 2
Fredholm determinant 690
Fredholm integral equations 174
Fredholm integral operator 173
Fredholm theory 173
Fresnel integral 498 509
Function, space, piecewise constant 139
Functional 46
Functional, Lyapunov 36
Functions,  square integrable 172
Functions, analytic 172
Fundamental collinear helium 536
Fundamental cycle 245
Fundamental cycles 672
Fundamental domain 206
Fundamental matrix see "Jacobian matrix"
Galerkin truncation 48
Gatto Nero, professor 597
Gauss shift 431
Gaussian integral, d-dimensional 494
Generating partition 202
Generator of flow 106
Golden mean pruning 246
Gradient algorithm 280
Grammar symbolic dynamics 202
Grandmother of fractals 342
Graph 203
Graph, Markov 203
Green’s function, analogue of 109
Green’s function, density of states 483
Green’s function, diffraction 562
Green’s function, energy dependent 483
Green’s function, regularized 518
Green’s function, semiclassical 505 511
Green’s function, short distance 503
Green’s function, trace 483
Green’s function, trace, long orbits 502
Green’s function, trace, short distance 503
Group 657
Group, dynamical 37
Group, evolution 52 696
Group, finite 657
Group, integration 661
Group, matrix 658
Group, order of 657
Group, representation 658
Group, semi-group 106
Gutzwiller, trace formula 516
Hadamard determinant 148
Hadamard product 519
Hamilton equations 486
Hamilton principal function 488
Hamilton — Jacobi equation 485
Hamiltonian 481 487
Hamiltonian flow 64
Hamiltonian flow, spectral determinant 156
Hamiltonian flow, stability 614
Hamiltonian flows, stability 82 611
Hamiltonian repeller, periodic orbits 290
Hankel function 503
Hausdorff dimension, Henon attractor 284
Heaviside function 484
Heisenberg 609
Heisenberg picture 681
Heisenberg, W. 105
Helfand moments 416
Helium 529 609
Helium, collinear 24 40 55 69 555
Helium, cycles 289 556
Helium, eigenenergies 556
Helium, fundamental domain 536
Helium, Poincar/’e section 555
Helium, stabilities 556
Helium, stability 289
Henon attractor 70 104
Henon attractor, Hausdorff dimension 284
Henon attractor, Lyapunov exponent 284
Henon attractor, topological entropy 284
Henon map 62 66 216 280 290
Henon map, fixed points 70 216
Henon map, inverse 216
Henon map, prime cycles 282 290
Henon map, stability 87
Henon map, symmetries 63
Henon — Heiles symbolic dynamics 400
Henon, M. 66
Heroes, unsung xii
Hessian matrix 82
Hilbert space 481
Hilbert — Schmidt condition 174
Hilbert — Schmidt operators 682
Hopf bifurcation 425
Horseshoe 208 215
Horseshoe, complete 218
Hydrodynamical interpretation of QM 504
Hyperbolic flow 158
Hyperbolic flows 83
Hyperbolic partial differential equations 46
Hyperbolic, non-hyperbolic 23
Hyperbolicity assumption 14 137
In/out nodes 79
Inadmissible symbol sequence 202
Incompressible flow 82
Indecomposability 240
Indecomposability, metric 199
Index, Maslov see "Topological index"
Induced map 366
Inertial manifold 47 48 50
Infinite-dimensional flows 45 59
Inflection point 426
Information, dimension 340
Initial, conditions, sensitivity to 5
Initial, point  14 35 74
Initial, state 14 35
Integrated observable 118
Integration group 661
Integration, Runge — Kutta 54
Intermittency 67 283 348
Intermittency, escape rate 361
Intermittency, piecewise linear model 352
Intermittency, resummation 368
Intermittency, stability ordering 307
Invariance cyclic 269
Invariance of flows 90
Invariance, symplectic 82 611
Invariant, measure 102
Invariant, metric 87 91
Invariant, topological 87
| Inverse hyperbolic flows 83
Inverse iteration 270
Inverse iteration, Hamiltonian repeller 290
Inward/outward spirals 79
Irreducible, segment 382
Irreversibility 22 230
Irreversible dynamics 37
Iteration 34
Iteration, inverse 270
Iteration, inverse, Hamiltonian repeller 290
Itinerary 9 11 198
Itinerary, bi-infinite 200
Itinerary, future 200 212
Itinerary, past 200
Jacobian 81 99
Jacobian matrix 14 74 621
Jacobian matrix, mapping 86
Jonquiere function 354 375
Jordan form 78
KAM, tori 349
Keller diffraction 570
Keplerian orbit 480
Kernel, resolving 175
Kneading, determinant 228
Kneading, sequence 213
Kneading, theory 213
Kneading, value 213
Koopman operator 105 109
Kramers 609
KS see "Kustaanheimo — Stiefel"
Kuramoto — Sivashinsky system 45
Kuramoto, Y. 50
kurtosis 133 416
Kustaanheimo — Stiefel transformation 532
Lagrangian 488
Lagrangian manifold 490
Laminar states 348
Laplace transform 21 107 141 146 248 483 505
Laplace transform, discrete 138 243
Laplacian 45
Legendre transform 489
Leibniz 4
Libration orbit 539 see
Lifetime 12
Limit, cycle 126
Linear flows 75
Linear, stability 73
Linearized flow 74
Link 203
Liouville equation 108
Liouville operator 109
Liouville theorem 83 618
Littlewood, J.E. 604
Local divergence rate 129
Local stability 73
Logistic map see "Unimodal"
Longitudinal coordinate 501
Loop, intersecting 245
Lorentz gas 348
Lorenz, E.N. 66
Loxodromic 83
Loxodromic eigenvalues 614
Lozi map 62 66
Lyapunov exponent 6 127
Lyapunov exponent, Henon attractor 284
Lyapunov exponent, natural measure 129
Lyapunov exponent, numerically 128
Lyapunov exponent, numnerical 131
Lyapunov functional 36
Lyapunov time 6 8 37
Mandelbrot set 328
Manifold, stable 91
MAP 35
Map, area preserving 64
Map, contracting 132
Map, dike 213
Map, dissipative 132
Map, expanding 200
Map, Henon 62 280
Map, Henon, prime cycles 282
Map, logistic see "Unimodal"
Map, Lozi 62 66
Map, once-folding 215
Map, order preserving 213
Map, orientation preserving 64
Map, orientation reversing 64
Map, quadratic 63 210
Map, return 11 14 57 216
Map, sawtooth 383
Map, stability 86
Map, tent 210
Map, Ulam 315
Map, unimodal 210
Maps, fixed point 70
Marginal, stability 14 349
Marginal, stability eigenvalues 89 137
Marginal, stability fixed point 349
Markov graph 203
Markov graph, infinite 247
Markov partition 417
Markov partition, finite 200 205
Markov partition, infinite 229
Markov partition, not unique 205
Maslov index see "Topological index"
Material invariant 617
Matrix of variations 74
Matrix, exponential 76
Matrix, exponential of 619
Matrix, group 658
Matrix, normal 78
Measure 98
Measure, cylinder 328
Measure, equipartition 328
Measure, invariant 102
Measure, natural 103 121
Measure, smooth 119
Mechanics, quantum 480
Mechanics, statistical 22
Mediocre, convergence 674
Memory, finite 223
Metric indecomposability 199 676
Metric invariant 87 91
Metric transitivity 676
microcanonical ensemble 131
Mira, C. 66
Misiurewicz, M. 66
Mixing 6 7 14 104
Mode, Fourier 48
Moebius inversion 250
Monodromy matrix 136 613
Morse index see "Topological index"
Mother of fractals 342
Multifractals 342 462
Multiplicative ergodic theorem 131
Multipoint shooting method 272
Natural measure 103 121 129
Nature, geometry of 2
Nero Gatto, professor 597
Neutral see "Marginal"
Newton’s method 271
Newton’s method, convergence 273
Newton’s method, flows 275
Newton’s method, optimal surface of section 278
Node 203
Non-hyperbolicity 90
Non-wandering set 36 217
Nonequilibrium 407
Norm 77
Normal matrix 78
Obscure, foundations 609
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