Algebraic properties of the Liapunov and period constants

被引：68

作者：

Cima, A

Gasull, A

Manosa, V

Manosas, F

机构：

[1] UNIV POLITECN CATALUNYA,ETS ENGN IND TERRASSA,DEPT MATEMAT APLICADA 2,TERRASSA 08222,BARCELONA,SPAIN

[2] UNIV POLITECN CATALUNYA,DEPT MATEMAT APLICADA 3,TERRASSA 08222,BARCELONA,SPAIN

[3] UNIV AUTONOMA BARCELONA,DEPT MATEMAT,BELLATERRA 08193,BARCELONA,SPAIN

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1997年 / 27卷 / 02期

关键词：

D O I：

10.1216/rmjm/1181071923

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give several algebraic properties of the Liapunov and period constants that simplify their effective computation. We apply them to get the first Liapunov and period constants and the second Liapunov constant for an arbitrary analytic system. Finally we apply them to some particular families of differential equations.

引用

页码：471 / 501

页数：31

共 16 条

[1] Andronov A.A., 1967, THEORY BIFURCATIONS
[2] [Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury
[3] BLOWS TR, 1984, MATH P CAMBRIDGE PHI, V95, P751
[4] THE MONOTONICITY OF THE PERIOD FUNCTION FOR PLANAR HAMILTONIAN VECTOR-FIELDS
CHICONE, C
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 69 (03) : 310 - 321
[5] BIFURCATION OF CRITICAL PERIODS FOR PLANE VECTOR-FIELDS
CHICONE, C
JACOBS, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 312 (02) : 433 - 486
[6] DEGENERATE HOPF-BIFURCATION FORMULAS AND HILBERTS 16TH PROBLEM
FARR, WW
LI, CZ
LABOURIAU, IS
LANGFORD, WF
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (01) : 13 - 30
[7] LJAPUNOV APPROACH TO MULTIPLE HOPF BIFURCATION
GOBBER, F
WILLAMOWSKI, KD
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 71 (02) : 333 - 350
[8] HASSARD B, 1978, J MATH ANAL APPL, V63, P297, DOI 10.1016/0022-247X(78)90120-8
[9] LINS A, 1976, LECT NOTES MATH, V597, P335
[10] LIU YR, 1990, SCI CHINA SER A, V33, P10

← 1 2 →