GEOMETRY OF INVARIANT-MANIFOLDS OF A GYROSCOPE IN THE FIELD OF A QUADRATIC POTENTIAL

被引：0

作者：

ZHIVKOV, AI

机构：

来源：

MATHEMATICS OF THE USSR-IZVESTIYA | 1990年 / 54卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Real formulas are found (in terms of Prym theta-functions) for the equation of rotation of a gyroscope in a field with an arbitrary quadratic potential. The number of components of the solutions are computed, depending on the "spectral data" of the problem.

引用

页码：227 / 242

页数：16

共 50 条

[1] SPIRALING INVARIANT-MANIFOLDS
MOECKEL, R
JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 66 (02) : 189 - 207
[2] SMOOTHNESS OF INVARIANT-MANIFOLDS
HILGER, S
JOURNAL OF FUNCTIONAL ANALYSIS, 1992, 106 (01) : 95 - 129
[3] INVARIANT-MANIFOLDS FOR REGULAR POINTS
LEWOWICZ, J
PACIFIC JOURNAL OF MATHEMATICS, 1981, 96 (01) : 163 - 173
[4] AN EXISTENCE THEOREM FOR INVARIANT-MANIFOLDS
AULBACH, B
FLOCKERZI, D
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1987, 38 (02): : 151 - 171
[5] INVARIANT-MANIFOLDS WITH ASYMPTOTIC PHASE
AULBACH, B
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1982, 6 (08) : 817 - 827
[6] INVARIANT-MANIFOLDS AND BIFURCATION OF SMOOTHNESS
RIVERA, WM
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 185 (03) : 617 - 628
[7] EXAMPLES OF PERTURBATIONS OF INVARIANT-MANIFOLDS
OSIPENKO, GS
DIFFERENTIAL EQUATIONS, 1989, 25 (06) : 675 - 681
[8] STABILIZATION OF DAES AND INVARIANT-MANIFOLDS
ASCHER, UM
CHIN, HS
REICH, S
NUMERISCHE MATHEMATIK, 1994, 67 (02) : 131 - 149
[9] LINEARIZATION IN THE NEIGHBORHOOD OF INVARIANT-MANIFOLDS
OSIPENKO, GS
DIFFERENTIAL EQUATIONS, 1981, 17 (04) : 433 - 436
[10] INVARIANT-MANIFOLDS OF HYPERCYCLIC VECTORS
BOURDON, PS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 118 (03) : 845 - 847

← 1 2 3 4 5 →