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Arnold L. (Ed), Wihstutz V. (Ed) — Lyapunov Exponents: Proceedings of a Workshop Held in Bremen
Arnold L. (Ed), Wihstutz V. (Ed) — Lyapunov Exponents: Proceedings of a Workshop Held in Bremen



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Название: Lyapunov Exponents: Proceedings of a Workshop Held in Bremen

Авторы: Arnold L. (Ed), Wihstutz V. (Ed)

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1986

Количество страниц: 384

Добавлена в каталог: 06.07.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
A-cocycle      12
A-spherical function      11
Alloys, random      242 243
Almost periodic case      216
Asymptotic stability      5
Average Lyapunov exponent      113 155 282 286 307 331
Average Lyapunov exponent, for gradient Brownian flows      308
Backward exponent      3
Backward regular      4
Central limit theorem      120 157
Chaos      23
Chaotic behavior      7 23
Characteristic exponents      1 74 see
Characteristic exponents, for invariant sets      78
Characteristic exponents, for random diffeomorphisms      80 291
Characteristic exponents, for random homeomorphisms      74
Characteristic exponents, for trajectories      75
Characteristic vector      4
Cliff in chaotic dynamics      364
Cocycle      5 270
Cocycle, Lyapunov exponents of      6
Control system      88 132
Control system, transitivity      126
Control theory      17
Coupling sensitivity of chaos      360
Critical phenomena      338
Density of states      243 254
Density of states, regularity      252 255
Destabilization by noise      155
Deterministic random process      19 20 229
Disordered medium      19
entropy      63 334
Ergodic theory of linear stochastic systems      17
Ergodic theory of stochastic flows      22
Ergodic theory, smooth      10 23
Filtration of $R^{d}$      2
Floquet theory      2 17
Flow of diffeomorphisms      10
Formulas for the top Lyapunov exponent      13 14 17 18 24 101 135 155 284
Formulas for the top Lyapunov exponent, discrete time systems      201 202 213
Formulas for the top Lyapunov exponent, exact formula      204
Formulas for the top Lyapunov exponent, finite state Markov process      204 208
Formulas for the top Lyapunov exponent, harmonic oscillator      212
Formulas for the top Lyapunov exponent, iid Gaussian noise      201
Formulas for the top Lyapunov exponent, noise with bounded generator      204
Formulas for the top Lyapunov exponent, non-degenerate white noise      205
Formulas for the top Lyapunov exponent, random telegraph process      204
Formulas for the top Lyapunov exponent, real noise      212
Formulas for the top Lyapunov exponent, white noise      205 212
Forward regular      3
Furstenberg boundary      12
Furstenberg constant      12
Furstenberg — Kesten theorem      11 39
Furstenberg's formula      13
Furstenberg's theorem      13 60
Furstenberg's theory      11
g(p), definition of the function      18
Genericity of deterministic potentials      231
Geometric control theory      17 88
harmonic oscillator      18
Has'minskii's formula      13 14 295 326
Hyperbolicity condition of a flow      7 8
Hypoellipticity assumption      207
Integrated density of states      see "Density of states"
Intermittency      342
Intermittency with additive noise      348
Intermittency with additive periodic forcing      354
Invariant control set      93 132
Invariant control set, uniqueness      94 132
Invariant probability      95 132 272
Invariant probability, existence      17
Invariant probability, uniqueness      17 95 132 279
Johnson — Moser $w(\lambda)$-function      253
Jump Markov process      18
Kotani's support theorem      233
Kotani's theorem on positive Lyapunov exponent      230
Kotani's theory      62
Large deviation      211
Law of large numbers, generalization      11
Lie algebra conditions      90 126 132 153
Linear Ito equations      10
linear oscillator      18
Linear stochastic system      9 17 85 129 160 200
Linear stochastic system, almost sure instability      161
Linear stochastic system, almost sure stability      161
Linear stochastic system, real noise case      17 85 160 286
Linear stochastic system, white noise case      17 129
Linear system, almost periodic case      18
Linearization of nonlinear stochastic systems      21
localization      19
Lyapunov exponent and initial conditions      16
Lyapunov exponent and initial conditions      16
Lyapunov exponent and initial conditions      16
Lyapunov exponent of cocycles      6
Lyapunov exponent, analytic expansion      208
Lyapunov exponent, analytic expansion      208
Lyapunov exponent, analytic expansion      208
Lyapunov exponent, arerage      22 113 155 282 286 307 331
Lyapunov exponent, asymptotic analysis      18
Lyapunov exponent, asymptotic expansion      202 205 206 211
Lyapunov exponent, bounds for average      22
Lyapunov exponent, central limit theorem      120 157
Lyapunov exponent, definition      2 6 8
Lyapunov exponent, dependence on the dimension of the system      201 202
Lyapunov exponent, finiteness      2
Lyapunov exponent, finiteness of the set of exponents      2
Lyapunov exponent, for gradient Brownian flow      299 308
Lyapunov exponent, for gradient Brownian flow      299 308
Lyapunov exponent, for gradient Brownian flow      299 308
Lyapunov exponent, for isotropic flow      301 330
Lyapunov exponent, for isotropic flow      301 330
Lyapunov exponent, for isotropic flow      301 330
Lyapunov exponent, for linear stochastic systems      85 156 161
Lyapunov exponent, for linear stochastic systems      85 156 161
Lyapunov exponent, for linear stochastic systems      85 156 161
Lyapunov exponent, for noisy north-south flows      299
Lyapunov exponent, for noisy north-south flows      299
Lyapunov exponent, for noisy north-south flows      299
Lyapunov exponent, for stochastic flows      291
Lyapunov exponent, for stochastic geodesic flow      300
Lyapunov exponent, for stochastic geodesic flow      300
Lyapunov exponent, for stochastic geodesic flow      300
Lyapunov exponent, for the Lloyd model      258
Lyapunov exponent, for the Lloyd model      258
Lyapunov exponent, for the Lloyd model      258
Lyapunov exponent, for the p-th moment (mean)      104 137 312
Lyapunov exponent, for the p-th moment (mean)      104 137 312
Lyapunov exponent, for the p-th moment (mean)      104 137 312
Lyapunov exponent, for the random harmonic oscillator      175
Lyapunov exponent, for the random harmonic oscillator      175
Lyapunov exponent, for the random harmonic oscillator      175
Lyapunov exponent, for the time reversed system      104 112 115 135
Lyapunov exponent, formula for the top exponent      101 135 155 284
Lyapunov exponent, general notion      6
Lyapunov exponent, general notion      6
Lyapunov exponent, general notion      6
Lyapunov exponent, generalization for second order equations      191
Lyapunov exponent, generalization for second order equations      191
Lyapunov exponent, generalization for second order equations      191
Lyapunov exponent, multiplicity      3 16
Lyapunov exponent, multiplicity      3 16
Lyapunov exponent, multiplicity      3 16
Lyapunov exponent, parameter dependence      18 20 23
Lyapunov exponent, parameter dependence      18 20 23
Lyapunov exponent, parameter dependence      18 20 23
Lyapunov exponent, positivity      13 19 56 114 157
Lyapunov exponent, positivity      13 19 56 114 157
Lyapunov exponent, positivity      13 19 56 114 157
Lyapunov exponent, positivity for deterministic potentials      234
Lyapunov exponent, positivity for deterministic potentials      234
Lyapunov exponent, positivity for deterministic potentials      234
Lyapunov exponent, positivity: Kotani's theorem      230
Lyapunov exponent, positivity: Kotani's theorem      230
Lyapunov exponent, positivity: Kotani's theorem      230
Lyapunov exponent, regular dependence on energy      20
Lyapunov exponent, regular dependence on energy      20
Lyapunov exponent, regular dependence on energy      20
Lyapunov exponent, regularity      252
Lyapunov exponent, regularity      252
Lyapunov exponent, regularity      252
Lyapunov exponent, smaller exponents      22
Lyapunov exponent, smaller exponents      22
Lyapunov exponent, smaller exponents      22
Lyapunov exponent, sums of positive exponents      20
Lyapunov exponent, sums of positive exponents      20
Lyapunov exponent, sums of positive exponents      20
Lyapunov exponent, top exponent      13 19 20 21
Lyapunov exponent, vanishing      16 27
Lyapunov spectrum      3
Lyapunov spectrum      3
Lyapunov spectrum of a stochastic flow      321 325
Lyapunov spectrum of isotropic stochastic flows      330
Lyapunov spectrum of isotropic stochastic flows      330
Lyapunov spectrum of isotropic stochastic flows      330
Lyapunov spectrum, formula      326
Lyapunov spectrum, formula      326
Lyapunov spectrum, formula      326
Lyapunov spectrum, Markovian      302
Lyapunov spectrum, Markovian      302
Lyapunov spectrum, Markovian      302
Lyapunov's theory      2
Measurable bundle      6 280
Measurable bundle      6 280
Measurable bundle      6 280
Measurable bundle flow      280
Measurable bundle flow      280
Measurable bundle flow      280
Measurable flow      5
Measurable flow      5
Measurable subbundle      6 281
Measurable subbundle      6 281
Measurable subbundle      6 281
Moment Lyapunov exponent      104 137
Moment Lyapunov exponent      104 137
Moment Lyapunov exponent      104 137
Moment stability      18
Moment stability      18
Moment stability      18
Multiplicative ergodic theorem      4
Multiplicative ergodic theorem      4
Multiplicative ergodic theorem, for stochastic flows      281 293 322
Multiplicative ergodic theorem, for stochastic flows      281 293 322
Multiplicative ergodic theorem, for stochastic flows      281 293 322
Non-compact Lie group      11
Non-compact Lie group      11
Non-deterministic stochastic process      19
Non-deterministic stochastic process      19
Non-deterministic stochastic process      19
Nonlinear control theory      17
Nonlinear control theory      17
Nonlinear control theory      17
Nonlinear stochastic systems      21
Nonlinear stochastic systems      21
Nonlinear stochastic systems      21
Normal basis      3
Normal basis      3
Oseledec's integrability condition      15
Oseledec's integrability condition      15
Oseledec's integrability condition      15
Oseledec's integrability condition, multiplicative ergodic theorem      4 7 8
Oseledec's integrability condition, theory      4 7
Oseledec's integrability condition, theory      4 7
Oseledec's integrability condition, theory      4 7
Period-doubling bifurcation      338
Period-doubling bifurcation      338
Period-doubling bifurcation with additive noise      345
Period-doubling bifurcation with additive noise      345
Period-doubling bifurcation with additive noise      345
Period-doubling bifurcation with additive periodic forcing      349
Period-doubling bifurcation with additive periodic forcing      349
Period-doubling bifurcation with additive periodic forcing      349
Perturbation theory      207
Perturbation theory      207
Phase transition      23 337
Phase transition      23 337
Principle eigenvalue      105 143
Principle eigenvalue      105 143
Principle eigenvalue      105 143
Products of random maps      15 16
Products of random maps      15 16
Products of random maps      15 16
Products of random maps, iid case      15 16
Products of random maps, iid case      15 16
Products of random maps, iid case      15 16
Products of random maps, stationary case      15 16
Products of random maps, stationary case      15 16
Products of random maps, stationary case      15 16
Products of random matrices      9 11 15 27 37 56 259
Products of random matrices, Furstenberg — Kesten theorem      39
Products of random matrices, Furstenberg — Kesten theorem      39
Products of random matrices, Furstenberg — Kesten theorem      39
Products of random matrices, Jacobi matrices      73
Products of random matrices, Jacobi matrices      73
Products of random matrices, Jacobi matrices      73
Products of random matrices, oscillation      27
Products of random matrices, oscillation      27
Products of random matrices, oscillation      27
Products of random matrices, stationary case      56
Products of random matrices, uniform convergence      37
Products of random matrices, uniform convergence      37
Products of random matrices, uniform convergence      37
Products of random matrices, unique ergodicity      37
Products of random matrices, unique ergodicity      37
Products of random matrices, unique ergodicity      37
Projection method      17 18 87 200
Projection method      17 18 87 200
Pseudofunctions      211
Pseudofunctions      211
Pseudofunctions      211
Pulse reflection by a random medium      265
Pulse reflection by a random medium      265
Pulse reflection by a random medium      265
Random harmonic oscillator      18 169
Random harmonic oscillator      18 169
Random media      19 20
Random media      19 20
Random media      19 20
Random potential      19
Random potential      19
Random Schroedinger operator      19 258
Random Schroedinger operator      19 258
Random Schroedinger operator with deterministic potential      227
Random Schroedinger operator with deterministic potential      227
Random Schroedinger operator with deterministic potential      227
Random Schroedinger operator with external field      246
Random Schroedinger operator with external field      246
Random Schroedinger operator with external field      246
Random telegraph process      18 169
Random telegraph process      18 169
Reflection by a random medium      265
Reflection by a random medium      265
Reflection by a random medium      265
Reflection coefficient      21 175 239
Reflection coefficient      21 175 239
Reflection of a pulse      20
Reflection of a pulse      20
Reflection of a pulse      20
Regular, backward      4
Regular, backward      4
Regular, backward      4
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