Nikolaev E., Zhuzhoma I. — Flows on 2-Dimensional Manifolds: An Overview :: Электронная библиотека попечительского совета мехмата МГУ

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Nikolaev E., Zhuzhoma I. — Flows on 2-Dimensional Manifolds: An Overview

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Название: Flows on 2-Dimensional Manifolds: An Overview

Авторы: Nikolaev E., Zhuzhoma I.

Аннотация:

Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 294

Добавлена в каталог: 09.09.2008

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Предметный указатель

Abramov, L.M.      112
Absolute      125
Adler, R.      112
Afraimovich, V.S.      55
Amalgamation      142
Andronov, A.A.      iv v 73 75 89
Anosov — Weil problem      209
Anosov, D.V.      iv v 106 166 170 209 213 214 215 219 222 223 224 236
Aranson, S.Kh.      iii iv v vi vii 16 26 28 33 42 55 90 92 101 121 125 129 132 201 204 205 207 218 224 227 229 233 253 257 258 260 264 266
Arnold, V.I.      99 110 160 169 109 170
Asymptotic direction, irrational      211
Asymptotic direction, rational      211
atom      140
Balibrea, F.      38
Beck, A.      246
Belitskii, G.R.      64 67 170
Bendixson, I.      iv 27 32 37
Beniere, J.-Ch.      vii 252
Birkhoff, G.D.      v 2 41 50 248
Blohin, A.      vi 105
Blowing-down mapping      54
Bogdanov, R.I.      67
Bogolyubov, N.N.      95
Bolsinov, A.V.      139
Boothby, W.M.      243
Bounded deviation theorem      224
Brien, T.O.      vi 135 136 139
Bronstein, I.U.      66 67
Bruno, A.D.      65
Bruschlinsky, N.      152
Calabi, E.      161
Canonical neighborhood      42
Cantor type limit set      14
Carroll, C.R.      264 267
cell      56
Cell, black      204
Cell, grey      204
Center      51
Cherry problem      201
Cherry, T.M.      iv 15 29 30 201 203
Chordal system of curves      240
Circle at infinity      125
Closed transversal      4
Closing lemma, $C^{r}-$       263
Closing lemma, strengthened $C^{r}-$       263
Closing lemma, weak      266
Cluster      53
Cohomological equation      169
Collapse of geodesic framework      263
Conjecture of Baum — Connes      196
Conjecture of Poincare      15
Conjecture of Weil      213
Connes, A.      198
Continued fraction      264
Cornfeld, I.P.      96 99
Curve goes to infinity      210
Cycle, asymptotic      153
Cycle, Zorich’s      160
Dantoni, C.      26
de Melo, W.      iv 88 201 204
Dehn, M.      149
Denjoy      iv 15 101 201 202
Denjoy homeomorphism      7
Dimension group      177
Dinaburg, E.      113
Domain, Poincare      64
Domain, Siegel      64
Dos Anjos      15
Edmonds, J.      78
Effros, E.G.      vi
Eilenberg, S.      152
Elliott, G.A.      180 198
Embedding of graph      77
entropy      111
Evans, D.E.      180
Face tracing algorithm      78
Fake saddle      5
First-return Poincare map      4
Flow box      4
Flow, $C^{r}-$       1
Flow, area preserving      17
Flow, Cherry      203 121 203
Flow, Cherry type      121
Flow, covering      6 12
Flow, Denjoy      7 14 120
Flow, ergodic      101
Flow, geodesible      20
Flow, geodesic      19 20
Flow, gradient      12
Flow, gradient-like      88
Flow, Hamiltonian      17 47
Flow, harmonic      19
Flow, highly transitive      2
Flow, irrational      2 127
Flow, irreducible      41
Flow, Kroneker’s      13
Flow, linear      5
Flow, minimal      3
Flow, mixing      106
Flow, Morse — Smale      12
Flow, non-constant type of      264
Flow, non-wandering      142
Flow, of non-constant type on $T^{2}$       264
Flow, polar      88
Flow, regular      55
Flow, scheme of      79
Flow, special      7 10 108 110
Flow, Stepanov      103
Flow, symplectic      17
Flow, transitive      2
Flows of first degree of non-stability in the Andronov — Leontovich’s sense      89
Flows of j-th (j $\geq$ 2) degree of non-stability in Andronov — Leontovich sense      91
Flows of j-th (j $\geq$ 2) degree of non-stability in Sotomayor sense      91
Flows, $C^{r}-$ equivalent      3
Flows, connected sum of      12
Flows, graph-equivalence      145
Flows, isotopical equivalence      87
Flows, orbitally topologically equivalent      3
Flows, topologically conjugate      3
Flows, topologically equivalent      3
Flows, Whitehead equivalent      131
Flux form      155
Foliation, hyperbolic      243
Foliation, parabolic      243
Fomenko, A.T.      139
Fomin, S.V.      96 99
Form, analytical      63
Form, formal      63
Form, normal      63
Form, orbital      63
Form, topological      63
Forni, G.      165 169 170
Forward Poincare map      4
Framework, geodesic      131 257
Framework, irrational      261
Framework, rational      261
Franzosa, R.D.      83
Frommer, M.      69
Function, harmonic      242
Function, Lyapunov      83
Function, weight      144
Gardiner, C.      v 41 42 55
Gaspar Ruas, A.      205
Gelfand, I.M.      198
Geodesic lamination      129 260
Geodesic lamination, consistently oriented      258
Geodesic lamination, non-trivial      129
Geodesic, corresponding      230
Geodesic, framework of the flow      131
Geodesic, framework of the quasiminimal set      131

Geodesic, non-trivial recurrent      130
Geodesic, representing      130
Giordano, T.      198
Global cross-section      23
Goodwyn, L.      113
Graph, Conley — Lyapunov — Peixoto      144
Graph, Lyapunov      86
Graph, Peixoto      79
Grines, V.Z.      vi 42 125 129 218 224 227 229 260
Ground surface      144
Gutierrez, C.      14 28 34 60 75 88 264 267
Hartman, P.      64 202
Hector, G.      vii 30 252
Hedlund, G.      129 210
Heffter, L.      78
Heins, M.      244
Herman, M.      100
Hilmy, H.      28
Homology rotation class      155
Homotopy rotation, class      126
Homotopy rotation, orbit      127
Hu, J.      202
Hubbard, J.      171
Impassable grain      5
Inaba, T.      vii 250
Irrational rotation algebra      183
Isomorphism of graphs      77
Jenkins, J.      244
Kaplan, W.      vii 59 239 242 242
Katok, A.      v 20 61 100 101 106 132 154 155 165 166 167
Katok’s fundamental class      156
Khanin, K.      109
Kneser, H.      iv 25 28
Kochergin, A.V.      vi 107 109 110
Kolmogorov, A.N.      v 98 111
Konheim, A.      112
Kontsevich, M.      162
Kopanskii, A.Ya.      66
Kotus, J.      246
Krych, M.      246
Krylov, A.N.      95
Leontovich, E.A.      iv v vi 55 75 89 135
Lerman, L.M.      141
Levitt, G.      v 26 33 41 42 44 45 129 156 220
Lojasiewicz inequality      69
Lopez, V.J.      38
Lyapunov, A.M.      iv
Maier, A.G.      iv v vi 30 32 33 51 55 101 135 248
Malkin, M.I.      207
Markley, N.G.      v 25 28 33 42 101 210 213 216 218 224
Markus, L.      vii 245
Martens, M.      iv 201 204
Marzougui, H.      36
Masur, H.      171
McAndrew, M.      112
Measure, invariant      95
Measure, nontrivial invariant      100
Measure, smooth      96
Medvedev, T.      121
Medvedev, V.      vii 26 266 260
Meigniez, G.      vii 252
Mendes, M.      iv 201 204
Meyer, K.      83
Molecule      140
Molecule, Andronov’s      80
Molecule, exact      140
Molecule, polar      80
Molecule, standard      80
Moreira P.      205
Morita’s equivalence      183
Morse, M.      73 210 244
Naimark, M.      198
Neumann, D.A.      iv vi 41 59 135 136 139 248
Nitecki, Z.      246
Nogueira, A.      14
Nordon, V.      47
Novikov, S.P.      50
Orbit complex      138
Orgraph      76
Oxtoby, J.C.      103
pants      45
Peixoto, M.M.      iv 73 263
Poincare, H.      iii 201
Point, attainable      129
Point, chain recurrent      266
Point, fixed      2
Point, irrational      125
Point, non-wandering      50
Point, of first kind      260
Point, of second kind      260
Point, prolongational recurrent      265
Point, rational      125
Point, regular      2
Pontryagin, L.S.      iv 73 75
Pugh, Ch.      74 263
Pupko, V.      216
Putnam, I.F.      198
Rayskin, V.      64
Rectifiability theorem      3
Rectifying diffeomorphism      3
Reducing set of curves      43
Regular family of curves      11
Resonance      64
Rezende, K.A.      83
Rokhlin, V.A.      v
Rotation, number      116
Rotation, orbit      117
Rotation, set of flow      163
Saito, T.      102
Samovol, V.S.      66
Sataev, E.      101
Scheme of flow      79
Schwartz, A.      iv 41 51
Schwartzman, S.      v 104 119 152
Schweitzer, P.      250
Semi-trajectory      1
Semi-transverse curve      43
Separatrix, configuration      245
Separatrix, in Markus’s sense      245
Separatrix, limit      245
Set, $\varpi(\alpha)$ -limit      2
Set, dynamically irreducible      28
Set, exceptional      2
Set, invariant      2
Set, minimal      2
Set, non-trivial minimal      2 134
Set, point-contractable      215
Set, prolongational limit      265
Set, quasiminimal      2
Set, trivial minimal      2
Shen, C.L.      vi
Shilnikov, L.P.      55
Siegel, C.      25
Sinai, Ya.      95 96 99 109
Singularity      2
Skau, C.F.      198
Smale, S.      iv 73 75
Small denominators      65
Smith, P.A.      248
Solntzev, G.      37
Sotomayor, J.      v 91
Special pair of trajectories      134
Stepanov, V.      103
Sternberg, S.      98
Stowe, D.      67
Structure theorem      34
Sullivan, D.      202
Suspension      6
Suspension, over circle homeomorphism      7
Suspension, over exchange transformation      8

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