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Reyn J. — Phase Portraits of Planar Quadratic Systems
Reyn J. — Phase Portraits of Planar Quadratic Systems

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Название: Phase Portraits of Planar Quadratic Systems

Автор: Reyn J.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2007

Количество страниц: 340

Добавлена в каталог: 14.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Bifurcation of limit cycles in quadratic systems from critical points      175
Bifurcation of limit cycles in quadratic systems from systems with center points      176
Canonical quadratic systems of Ye Yanqian      152 153
Classes of quadratic systems      59 70 83 88 95
Critical points in quadratic systems, finite critical points, critical points in homogeneous systems      19 24
Critical points in quadratic systems, finite critical points, critical points of center or focus type      104
Critical points in quadratic systems, finite critical points, degenerate critical points, elliptic and hyperbolic sectors of a critical point      18
Critical points in quadratic systems, finite critical points, higher order critical points      10
Critical points in quadratic systems, finite critical points, multiplicity of a critical point      9
Critical points in quadratic systems, finite critical points, nilpotent critical points      19
Critical points in quadratic systems, finite critical points, parabolic sector of a critical point      9
Critical points in quadratic systems, finite critical points, Poincare index of a critical point      17
Critical points in quadratic systems, finite critical points, semi-elementary critical points      19 21
Critical points in quadratic systems, finite critical points, simple or elementary critical points      9 20
Critical points in quadratic systems, infinite critical points, elementary or simple critical points      4 15
Critical points in quadratic systems, infinite critical points, highly degenerate critical points      29
Critical points in quadratic systems, infinite critical points, nilpotent critical points      28
Critical points in quadratic systems, infinite critical points, Poincare index of an infinite critical point      18
Critical points in quadratic systems, infinite critical points, semi-elementary critical point      27
Critical points in quadratic systems, infinite critical points, tangentially hyperbolic and non-hyperbolic points      15
Critical points in quadratic systems, infinite critical points, transversally hyperbolic and non-hyperbolic points      15
Flow over straight lines in quadratic systems      99
from other closed curves      181
Hamiltonian quadratic systems      135
Hilbert's Sixteenth Problem      150 151
Hilbert's Sixteenth Problem, finite multiplicity conjecture for quadratic systems      151
Integrability and center conditions      121 124
Invariant theory      140
Limit cycles in quadratic systems with algebraic solutions      166
Limit cycles, a weak focus      156
Limit cycles, a weak saddle      163
Limit cycles, center points      145
Limit cycles, degenerate critical points      164
Limit cycles, multiplicity of limit cycles      149
Limit cycles, stable, semi-stable and unstable limit cycles      148
Limit cycles, two nests of limit cycles      169
Open problem      205
Phase portraits, closed orbits      6 105
Phase portraits, definition      7
Phase portraits, limit sets of an orbit      4
Phase portraits, orbits      1
Phase portraits, Poincare sphere and disk      3 14
Phase portraits, qualitative equivalence      2
Phase portraits, separatrix cycle      7
Phase portraits, separatrix structure      5
Poincare return map      148
Quadratic systems, central conic of a pencil of isoclines      33
Quadratic systems, definition      xii
Quadratic systems, degenerate isoclines      33
Quadratic systems, finite and infinite base points of isoclines      13
Quadratic systems, finite index of a quadratic system      17
Quadratic systems, finite multiplicity of a quadratic system      10
Quadratic systems, infinite index of a quadratic system      18
Quadratic systems, infinite multiplicity of a quadratic system      16
Quadratic systems, isoclines      9 13
Quadratic systems, pencil of (conical) isoclines      13 32
Quadratic systems, total index of a quadratic system      18
Quadratic systems, total multiplicity of a quadratic system      16
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