1ST INTEGRALS OF AUTONOMOUS SYSTEMS OF DIFFERENTIAL-EQUATIONS AND THE PRELLE-SINGER PROCEDURE

被引：14

作者：

MAN, YK

机构：

[1] Sch. of Math. Sci., Queen Mary and Westfield Coll., London

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 10期

关键词：

D O I：

10.1088/0305-4470/27/10/005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Prelle-Singer procedure for determining elementary first integrals of two-dimensional autonomous systems of ordinary differential equations is introduced and how it can be generalized to higher dimensions is discussed. The application of this procedure in several dynamical systems is reported.

引用

页码：L329 / L332

页数：4

共 50 条

[1] AN ALGORITHM FOR DETERMINING POLYNOMIAL 1ST INTEGRALS OF AUTONOMOUS SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS
SCHWARZ, F
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 1985, 1 (02) : 229 - 233
[2] ELEMENTARY 1ST INTEGRALS OF DIFFERENTIAL-EQUATIONS
PRELLE, MJ
SINGER, MF
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 279 (01) : 215 - 229
[3] LIOUVILLIAN 1ST INTEGRALS OF DIFFERENTIAL-EQUATIONS
SINGER, MF
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 333 (02) : 673 - 688
[4] LIOUVILLIAN 1ST INTEGRALS OF DIFFERENTIAL-EQUATIONS
SINGER, MF
[J]. LECTURE NOTES IN COMPUTER SCIENCE, 1989, 358 : 57 - 63
[5] ON 1ST INTEGRALS FOR POLYNOMIAL DIFFERENTIAL-EQUATIONS ON THE LINE
ZOLADEK, H
[J]. STUDIA MATHEMATICA, 1993, 107 (02) : 205 - 211
[6] SYMMETRIES AND 1ST INTEGRALS OF SOME DIFFERENTIAL-EQUATIONS OF DYNAMICS
ELIEZER, CJ
[J]. HADRONIC JOURNAL, 1979, 2 (05): : 1067 - 1109
[7] COMPUTING CLOSED-FORM SOLUTIONS OF 1ST-ORDER ODES USING THE PRELLE-SINGER PROCEDURE
MAN, YK
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 1993, 16 (05) : 423 - 443
[8] Solving second-order ordinary differential equations by extending the Prelle-Singer method
Duarte, LGS
Duarte, SES
da Mota, LACP
Skea, JEF
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (14): : 3015 - 3024
[9] Extended Prelle-Singer method and integrability/solvability of a class of nonlinear nth order ordinary differential equations
Chandrasekar V.K.
Senthilvelan M.
Lakshmanan M.
[J]. Journal of Nonlinear Mathematical Physics, 2005, 12 (Suppl 1) : 184 - 201
[10] Extended Prelle-Singer method and integrability/solvability of a class of nonlinear nth order ordinary differential equations
Chandrasekar, VK
Senthilvelan, M
Lakshmanan, M
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2005, 12 : 184 - 201

← 1 2 3 4 5 →