Linearizability conditions for Lotka-Volterra planar complex cubic systems

被引：25

作者：

Gine, Jaume ^{[1
]}

Romanovski, Valery G. ^{[2
]}

机构：

[1] Univ Lleida, Dept Matemat, Lleida 25001, Spain

[2] Univ Maribor, Ctr Appl Math & Theoret Phys, SI-2000 Maribor, Slovenia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 22期

关键词：

ANALYTIC DIFFERENTIAL-SYSTEMS; ISOCHRONOUS CENTERS; HOMOGENEOUS POLYNOMIALS; KOLMOGOROV SYSTEM; VECTOR-FIELDS; LIMIT-CYCLES; INTEGRABILITY; LINEARIZATION; FLOWS; FOCI;

D O I：

10.1088/1751-8113/42/22/225206

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we investigate the linearizability problem for the two-dimensional planar complex system. (x) over dot = x(1 - a(10)x - a(01)y - a(20)x(2) - a(11)xy - a(02)y(2)), (y) over dot = -y(1 - b(10)x - b(01)y - b(20)x(2) - b(11)xy - b(02)y(2)). The necessary and sufficient conditions for the linearizability of this system are found. From them the conditions for isochronicity of the corresponding real system can be derived.

引用

页数：15

共 42 条

[1]

[Anonymous], POKROKY MATEMATIKY F

[2]

[Anonymous], 2005, SINGULAR 3 0 COMPUTE

[3]

[Anonymous], 1965, DIFF NYE URAVN

[4]

BIBIKOV Y. N., 1979, Lecture Notes in Mathematics, V702

[5] CONFORMAL EQUIVALENCE OF ANALYTIC FLOWS [J].