ELLIPTIC INTEGRALS AND LIMIT-CYCLES

被引：4

作者：

URBINA, AM ^{[1
]}

DELABARRA, ML ^{[1
]}

DELABARRA, GL ^{[1
]}

CANAS, M ^{[1
]}

机构：

[1] UNIV TECN FEDERICO SANTA MARIA, DEPT MATEMAT, CASILLA 110-V, VALPARAISO, CHILE

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1993年 / 48卷 / 02期

关键词：

D O I：

10.1017/S0004972700015641

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using zeros of elliptic integrals we establish an upper bound for the number of limit cycles that emerge from the period annulus of the Hamiltonian X(H) in the system X(epsilon) = X(H) + epsilon(P, Q), where H = y2 + x4 and P, Q are polynomials in x, y, as a function of the degrees of P and Q. In particular, if (P, Q) = [GRAPHICS] with N = 2k + 1 or 2k + 2, this upper bound is k - 1.

引用

页码：195 / 200

页数：6

共 50 条

[41] A NEW APPROACH TO THE PREDICTION OF LIMIT-CYCLES
CAMERON, R
KOUVARITAKIS, B
MOSSAHEB, S
INTERNATIONAL JOURNAL OF CONTROL, 1980, 32 (06) : 963 - 981
[42] LIMIT-CYCLES IN A CONTINUOUS FERMENTATION MODEL
HUANG, XC
JOURNAL OF MATHEMATICAL CHEMISTRY, 1990, 5 (03) : 287 - 296
[43] ON LIMIT-CYCLES IN FEEDBACK POLYNOMIAL SYSTEMS
GENESIO, R
TESI, A
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (12): : 1523 - 1528
[44] LIMIT-CYCLES IN A QUADRATIC DISCRETE ITERATION
BINDER, PM
PHYSICA D, 1992, 57 (1-2): : 31 - 38
[45] ON LIMIT-CYCLES OF PLANE QUADRATIC SYSTEMS
SHI, SL
SCIENTIA SINICA, 1981, 24 (02): : 153 - 159
[46] EIGENSTATES AND LIMIT-CYCLES IN THE SK MODEL
CABASINO, S
MARINARI, E
PAOLUCCI, P
PARISI, G
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (22): : 4201 - 4210
[47] ANNULAR REGIONS CONTAINING LIMIT-CYCLES
MALYSHEV, YV
ZAKHAROV, VP
DIFFERENTIAL EQUATIONS, 1984, 20 (03) : 309 - 313
[48] NON-ACCUMULATION OF LIMIT-CYCLES
YOCCOZ, JC
ASTERISQUE, 1988, (161-62) : 87 - 103
[49] LIMIT-CYCLES OF A CLASS OF POLYNOMIAL SYSTEMS
CARBONELL, M
LLIBRE, J
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1988, 109 : 187 - 199
[50] CHAOS AND LIMIT-CYCLES IN LORENTZ MODEL
SHIMIZU, T
MORIOKA, N
PHYSICS LETTERS A, 1978, 66 (03) : 182 - 184

← 1 2 3 4 5 →