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