Hall G.R., Lee — Continuous dynamical systems :: Электронная библиотека попечительского совета мехмата МГУ

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Hall G.R., Lee — Continuous dynamical systems

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Название: Continuous dynamical systems

Авторы: Hall G.R., Lee

Язык:

Рубрика: Математика/Анализ/Дифференциальные уравнения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 127

Добавлена в каталог: 09.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$\alpha$ -limit set      34
$\omega$ -limit set      34
Attractor      35
Attractor block      35 86
Autonomous      4
Averaging      115
Best linear approximation      8
Bifurcation      75
Cauchy      31
Cauchy’s Existence Theorem      26
Center manifold      62 82 96
Center of mass      15
Center stable manifold      62
Change of coordinates      53 74 76 98 115 116
Change of variable      89
Change of variables      8 9 11 17 19 70 86 88—90
Chaos      105
Codimension 1      85
Codimension 1 bifurcation      85 93
Collision set      7
Comparison Test      27
Complete metric space      31
Complex notation      18
Cone condition      55
conjugate      10
Conservation of momentum      15
Constant of motion      16
Continuity in parameters      25
Continuity with respect to initial conditions      25 64
Contraction      32 53 62
Contraction mapping principle      57
Critical point      7
Decouple      20
Derivative      8
Differential equation      7
Differential equation associated with f      4
Differentiation      8
First return map      65
Fixed point      7
Floquet multipliers      66 71 98 103
Flow      4
Forward orbit      7
Glider flight      13
global      7 44
Global bifurcations      77
Graph Transform Method      52
Gravity      6
Gronwall’s inequality      117
Group property      4
Hamiltonian      72 101 112-114
Hamiltonian system for H      16
Hartman — Grobman — Sturmberg Theorem      42
Heteroclinic connection      102
Homoclinic orbit      101
Homoclinic point      101
Hopf bifurcation      98
Hopf bifurcation theorem      86 92 94
Hyperbolic      42 51 62 74
Hyperbolic fixed point      50 52
Immersed m-submanifold      44
Implicit function theorem      65 77 98
Initial condition      4 9
Initial value problem      4
integral      16
Invariant set      33
Inverse function theorem      78 79 93
Isolated invariant set      33
Isolating neighborhood      33

Kepler problem      6
Kepler’s laws      17
Least period      7
Level set      77
Limit cycle      86
Linear space      8
Linearization      37 48
Lipschitz      24 29 30 55 58 59 117
local      7
Local flow      6
Local stable set      45
Local unstable set      45
Manifold      7
MAP      50 94
Maximal      25
Maximal invariant set      33
McGehee Collision Manifold      22
Measurable      25
Melnikov integral      113 115
Melnikov method      100
Method of majorants      27
Nice vector fields      7
Nondegeneracy conditions      82 86
Normal form      88 90 98
Orbit      7
Periodic forcing      72
Periodic orbit      63
Periodic point      7
Periodic point with least period T      63
Phase space      7
Pitchfork bifurcation      98
Poincare map      65
Poincare section      64 70 76
Poincare-Bendixon      86
Positively invariant set      33
Power series      27
Recurrence      104
Resonance      44
Rest point      7
Saddle node bifurcation      82
Semiflow      6
Siegel and Moser      27
Singularity      17 20
Sink      35 37 51 65
Solution      4
Source      42 65
Spiral sink      86 90
Spiral source      86 90
Stable manifold      45
Stable set      50
Stable-Unstable Manifold Theorem      100
Stable/Unstable Manifold Theorem for Maps      51
Stationary point      7
Strong stable manifold      62 82
Strong unstable manifold      62
Tangent vector      7
Taylor series      78
Taylor’s Remainder Theorem      38
Taylor’s Theorem      53
Time T map      50 69
Topologically equivalent      13
Torus      21
Transversality      61 66
Transverse homoclinic orbit      103 114
Transverse homoclinic point      103
Unit tangent bundle      58
Unstable manifold      46
Variational equation      26 71
Zharkovskii      13

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