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Cvitanovic P., Artuso R., Dahlqvist P. — Classical and quantum chaos
Cvitanovic P., Artuso R., Dahlqvist P. — Classical and quantum chaos

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Название: Classical and quantum chaos

Авторы: Cvitanovic P., Artuso R., Dahlqvist P.

Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 739

Добавлена в каталог: 15.08.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C_{3\upsilon}$ symmetry      397
$L^2$ function space      172
$t_p$, cycle weigth      150
,      79 203
3-body problem      24 513 529 599 610
3-dimensional sphere, scattering      92
3-disk, boundary orbits      392
3-disk, convergence      178 671
3-disk, cycle, analytically      95
3-disk, cycle, count      400 641
3-disk, cycle, expansion      314
3-disk, escape rate      167 303 315 319
3-disk, fractal dimension      338
3-disk, geometry      65
3-disk, hyperbolicity      137
3-disk, phase space      11 338 676
3-disk, pinball      4 65—67
3-disk, point scatterer      574
3-disk, prime cycles      16 204 261 283
3-disk, shadowing      303
3-disk, simulator      71 94 96
3-disk, symbolic dynamics      9 32 204 233
3-disk, symmetry      206 382 397 403
3-disk, transition matrix      199
Abscissa, absolute conv.      309
Abscissa, conditional conv.      309
Accelerator mode      411
action      489 500
Action, helium      532
Action, relation to period      541
Admissible periodic points      243
Admissible trajectories, number of      239
Airy function      510
Airy function at a bifurcation      510
Alphabet      198
Alternating binary tree      235
Analyticity domain      147
Anosov flows      221
Antiharmonic extension      630
ARC      203
Area, preserving map      64
Artin — Mazur zeta function      247
Attractor      36
Attractor, basin      36
Attractor, Henon      70
Attractor, strange      36 40 126
Autonomous flow      39 275
Average, space      103
Average, time      103
Averages, chaotic      363
Averaging      29
Averaging space      120
Averaging time      118
Axiom A, systems      182
Baker’s map      66
Balmer spectrum      480
Basin of attraction      36
Bernoulli polynomials      176
Bernoulli shift      175
Bi-infinite itinerary      200
Bifurcation, Airy function approximation      510
Bifurcation, bizarre      629
Bifurcation, generic      67
Bifurcation, Hopf      425
Bifurcation, saddle-node      66
Billiard, map      65
Billiards      64 66
Billiards, stability      83
Binary symbolic dynamics, collinear helium      537
Binary tree, alternating      235
Birkhoff coordinates      11
Birkhoff ergodic theorem      104
Block, finite sequence      201
Block, pruning      202
Bohr      597
Bohr helium      529 543
Bohr Uetli Schwur      608
Bohr — de Broglie picture      480
Bohr — Sommerfeld quantization      480 521 609
Boltzmann      23
Boltzmann equation      422
boredom      337 579
Borges, J.L.      579
Boundary orbits      392
Bounded operators      682
Bowen      26
Brain, rat      3 27
Branch cut      357
Branch point      357
branch point singularity      358
Burnett coefficient      416
Canonical transformations      612
Canonical, transformations      82
Cartwright, M.L.      604
Cauchy caustic      492
Cauchy criterion      77
Ceiling function      58 144 190
Center      79
Chain rule      87
Chain Rule, matrix      679
Change of coordinates      41
Chaos      5 6
Chaos, caveats      8
Chaos, skeleton of      9 11
Chaos, successes      8
Character orthonormalitity      662
Character representation      658
Characteristic function      98
Characteristic polynomial      245
Chicken heart palpitations      5
Circle map, critical      428
Coarse graining      230
Coarse-graining      98
Coding      see "Symbolic dynamics"
Collinear helium      24
Collinear helium, symbolic dynamics      537
Combinatorics teaching      212
Complete N-ary dynamics      199
Complexity algorithmic      258
Confession, Kepler      600
Confession, St. Augustine      97
Conjugacy      41 43
Conjugacy, invariant      91
Conjugacy, smooth      41 53 91 697
Conjugacy, topological      213
Conservation equation      617
Conservation phase-space volume      83 618
Continuity equation      490 618
Continuity, equation      108
Contour integral      152
Contracting, flow      36 40 82
Contracting, map      132
Contracting, stability eigenvalues      89 137
Convergence, abscissa of      309
Convergence, mediocre      674
Convergence, radius      147
Convergence, super-exponential      171
Convexity      130
Coordinate, change      41 43
Coordinate, longitudinal      501
Coordinate, transformations      53
Copenhagen school      x 609
Correlation, decay, power law      351
Correlation, function      186
Correlation, spectrum      187
Correlation, time      325
Cost function      279
Covering-symbolic dynamics      201
Critical point      88
Critical, point      210
Critical, value      211 413
Cumulant, expansion      244 247 298
Cumulant, expansion, Plemelj — Smithies      686
Curvature, correction      295
Curvature, expansion      29 295
CYCLE      10
Cycle, expansion      17 295
Cycle, expansion, 3-disk      314
Cycle, expansion, finite subshift      304
Cycle, expansion, stability ordered      305
Cycle, expon      520
Cycle, fundamental      245 295
Cycle, limit      126
Cycle, point      201
Cycle, prime      138 201 261 269
Cycle, prime, 3-disk      283
Cycle, prime, Henon map      282
Cycle, pruning      251
Cycle, stability      87 283
Cycle, stable      88
Cycle, superstable      88
Cycle, unstable      11
Cycle, weigth      150
Cycles, fundamental      672
Cyclic, invariance      269
Cyclic, symmetry      242
de Broglie wavelength      484
Decay, rate      158
Degree of freedom      8
Delta function, Dirac      100 483
density      98 617
Density of states, Green’s function      483
Density of states, quantum      483
Density of states, semiclassical      517
Density, evolution      22
Desymmetrization, 3-disk      403
Determinant, Fredholm      690
Determinant, graph      257
Determinant, Hadamard      148
Determinant, spectral      21 148 243
Determinant, spectral for flows      149
Determinant, trace relation      244
Determinant, trace-class operator      683
Deterministic dynamics      5
Deterministic flow      99
Deterministic, dynamics      34
Differential equations, ordinary, almost      52
Diffraction, Green’s function      562
Diffraction, Keller      570
Diffraction, Sommerfeld      570
Diffusion, constant      122
Diffusion, partial differential equations      46
Dike map      213
Dimension, box counting      340
Dimension, fractal      339
Dimension, generalized      2
Dimension, Henon attractor      284
Dimension, information      340
Dimension, intrisic      8
Dirac delta function      100
Dirichlet series      308
Dissipative, map      132
distribution      47
Divergence rate, local      129
Doubling map      180
Duffing oscillator      38
Duffing system      50
Dynamical system, infinite      55
Dynamical system, smooth      17 18 29 255 466 469 471 604
Dynamical, system      33 34
Dynamical, system, deterministic      34
Dynamical, system, gradient      53
Dynamical, system, smooth      34
Dynamical, systems, equivalent      42
Dynamical, transitivity      240
Dynamical, zeta function      16 151
Dynamical, zeta function, Euler product rep.      151
Dynamics, deterministic      5
Dynamics, hyperbolic      205
Dynamics, irreversible      37
Dynamics, reversible      37
Dynamics, stochastic      5
Dynamics, symbolic      8 198 200 328
Dynamics, symmetry      661
Dynamics, topological      198 200 202
D’Alambert’s wave equation      46
EDGE      203
Eigendirections      74
Eigenfunction, energy      481
Eigenfunctions, Perron — Frobenius      170
Eigenstate      see "Eigenfunction"
Eigenvalue, exponential spacing      149
Eigenvalue, spectral determinant      171
Eigenvalue, zero      499
Eigenvalues      158
Elliptic, partial differential equations      46
Elliptic, stability      83
Enemy, thy      352
English, plain      201
Ensemble, microcanonical      131
Entropy, barrier      311
Entropy, topological      6 240 252 257
Equation of variations      74
Equilibrium, measure      see "Natural measure"
Equilibrium, point      39 80 102
Equivalence of dynamical systems      42
Ergodic average      104
Ergodic theorem, multiplicative      131
Ergodic theory      104
Escape rate      102
Escape rate, 3-disk      319
Escape, intermittency      361
Escape, rate      12 321
Escape, rate, 3-disk      303 315
Essential spectral radius      172
Essential, spectral radius      176
Euler — Maclaurin formula      187
Euler, formula      171 702
Euler, limit      81
Euler, product      155
Euler, product rep., dynamical zeta function      151
Euler, totient function      430
Evolution, group      52 696
Evolution, kernel, probabilistic      99
Evolution, operator      20 125
Evolution, operator, quantum      482
Evolution,semigroup      126
Expanding stability eigenvalues      89 137
expectation value      121 132
Exponent, stability      89
Exponential of a matrix      76
Exponential proliferation      20 258
Exponential, convergence      147 171
Extremal point      498
False zeros      155
Farey map      349 375
Farey mediant      431
Farey series      430
Farey tree      431
Feynman      597
Feynman path integral      497
Finite subshift, cycle expansion      304
First return function      58 371
Fixed point      269
Fixed point, maps      70
Fixed point, marginally stable      349
Floquet multipliers      136
Flow      34 37
Flow, autonomous      39 275
Flow, contracting      36 40 82
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