ISOCHRONICITY FOR TRIVIAL QUINTIC AND SEPTIC PLANAR POLYNOMIAL HAMILTONIAN SYSTEMS

被引：2

作者：

Braun, Francisco ^{[1
]}

Llibre, Jaume ^{[2
]}

Mereu, Ana C. ^{[3
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[3] Univ Fed Sao Carlos, Dept Fis Quim & Matemat, BR-18052780 Sorocaba, SP, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 10期

基金：

巴西圣保罗研究基金会;

关键词：

Isochronous centers; polynomial Hamiltonian systems; Jacobian conjecture; JACOBIAN CONJECTURE; CENTERS;

D O I：

10.3934/dcds.2016029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we completely characterize trivial polynomial Hamiltonian isochronous centers of degrees 5 and 7. Precisely, we provide simple formulas, up to linear change of coordinates, for the Hamiltonians of the form H = (f(1)(2) + f(2)(2)) /2, where f = ( f(1), f(2)) : R-2 -> R-2 is a polynomial map with det Df = 1, f(0, 0) = ( 0, 0) and the degree of f is 3 or 4.

引用

页码：5245 / 5255

页数：11

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