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Sevryuk M.B. — Reversible Systems
Sevryuk M.B. — Reversible Systems

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Название: Reversible Systems

Автор: Sevryuk M.B.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1986

Количество страниц: 319

Добавлена в каталог: 19.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Birkhoff normal form      125 144
Canonical coordinate system      124 144
Coboundary homomorphism      78
Cohomologic interpretation      37 80
Conjugate, linear operators      93
Conjugate, surfaces      263
Cycle of a mapping      182
Cycle of a vectorfield (a phase flow)      160
Cycle, length of      182
Cycle, symmetric      159 184
Cycle, symmetric, long period      255 282
Cycle, symmetric, short period      255 282
Cycle, symmetric, very long period      202
Diagrams, equivalent      16
Diagrams, standard      17
Diffeomorphism (mapping), cycle of      182
Diffeomorphism (mapping), elliptic      102
Diffeomorphism (mapping), elliptic hyperbolic      110
Diffeomorphism (mapping), hyperbolic      112
Diffeomorphism (mapping), integrable      1 23
Diffeomorphism (mapping), nondegenerate      23 148
Diffeomorphism (mapping), pseudoreversible      297
Diffeomorphism (mapping), reversible      5
Diffeomorphism (mapping), slightly elliptic      102
Diffeomorphism (mapping), slightly integrable      23
Diffeomorphism (mapping), symmetric cycle of      184
Diffeomorphism (mapping), symmetric trajectory of      193
Diffeomorphism (mapping), trajectory of      193
Diffeomorphism (mapping), weakly pseudoreversible      298
Diffeomorphism (mapping), weakly reversible      1 5
Double, conjugation      111
Double, numbers      111
Double, numbers, exponent of      140
Dynamical system with continuous time      66
Dynamical system with discrete time      4 22
Dynamical system, reversible      2 5
Dynamical system, reversible, in the generalized sense      300
Dynamical system, weakly reversible      5
Equivariant, function      199 219
Equivariant, vectorfield      200 220 227
Focus exponential      212
Generalized Jordan block      95
Homological equations      34 75
Homotopic method      249
Independence, functional      109
Independence, rational      3
Intersection property      2 57 154
Involution      2
Involution of type (p, q)      92
Isotropic plane      268
Kolmogorov torus      4
Limiting degeneration      182
Linear operator, infinitesimally reversible      93
Linear operator, reversible      93
Linearization      92
Lyapunov theorem      223
Lyapunov — Devaney theorem      230
Matrix, infinitesimally symplectic      94
Matrix, symplectic      93
Middle dimension      6
Monodromy operator      173
Monomial antiresonant      114 137 138
Monomial resonant      113 114 137 138
Non-autonomous differential equation, quasireversible      171
Non-autonomous differential equation, reversible      172
Non-autonomous differential equation, symmetric periodic solution of      175
Non-autonomous differential equation, T-periodic      172
Non-autonomous differential equation, weakly reversible      172
Normal function      2 0
Phase oscillations      12 194
Phase oscillations, equations of      201
Poincare mapping, complete      160
Poincare mapping, semi-      160
Poincare — Dulac theorem      115 138
Poisson brackets      74
Proper degeneracy      7
Regime (elliptic and hyperbolic)      236 237 255 256 282 283
Resonance      14 104 133 221 228 230 235 282
Resonance (resonant) zone      11
Resonance (resonant) zone, local theory of      221
Resonance (resonant) zone, width of      200 219 227
Resonance of codimension one      235 282
Resonance, higher      254
Resonance, order of      104 126 133 145
Resonance, strict      235 282
Resonance, strong      227
Resonance, subharmonic      282
Resonance, weak      221
Return, curve      15
Return, function      160
Return, surface      16
Rotation numbers      165
Saddle with zero trace      158 211
Saddle, exponential      213
Similar matrices      93
Singularity of type $A_{N}$      16 262 268 276
Situation, elliptic      164
Situation, slightly elliptic      164
Small denominator condition      22 66 182
Twist rotation      1 56
Type of a number in $R^{m}$      22 66
Type of a surface      263
Type of an involution      92
Vectorfield (or autonomous differential equation), cycle of      160
Vectorfield (or autonomous differential equation), elliptic      102
Vectorfield (or autonomous differential equation), elliptic hyperbolic      136
Vectorfield (or autonomous differential equation), hyperbolic      137
Vectorfield (or autonomous differential equation), integrable      3 68
Vectorfield (or autonomous differential equation), nondegenerate      3 60 157
Vectorfield (or autonomous differential equation), pseudoreversible      2 98
Vectorfield (or autonomous differential equation), reversible      2
Vectorfield (or autonomous differential equation), slightly elliptic      102
Vectorfield (or autonomous differential equation), slightly integrable      68
Vectorfield (or autonomous differential equation), symmetric cycle of      159
Vectorfield (or autonomous differential equation), symmetric trajectory of      159
Vectorfield (or autonomous differential equation), weakly pseudoreversible      298
Vectorfield (or autonomous differential equation), weakly reversible      5
Whitney, mapping      248
Whitney, umbrella      16 248
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