The phase portrait of the Hamiltonian system associated to a Pinchuk map

Artes Joan Carles; Braun Francisco; Llibre Jaume

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The phase portrait of the Hamiltonian system associated to a Pinchuk map

机译：与Pinchuk地图相关的Hamiltonian系统的相位肖像

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In this paper we describe the global phase portrait of the Hamiltonian system associated to a Pinchuk map in the Poincare disc. In particular, we prove that this phase portrait has 15 separatrices, five of them singular points, and 7 canonical regions, six of them of type strip and one annular.

机译：在本文中，我们描述了与Poincare光盘中的Pinchuk地图相关的汉密尔顿系统的全局阶段肖像。特别是，我们证明了这一阶段肖像有15个分开，其中五个奇点，7个规范区，其中六个型条带和一个环形。

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来源
《Anais da Academia Brasileira de Ciências》 |2018年第3期|共18页
作者
Artes Joan Carles; Braun Francisco; Llibre Jaume;
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作者单位

Univ Autonoma Barcelona Dept Matemat Edifici Cc Campus UAB E-08193 Barcelona Catalonia Spain;

Univ Fed Sao Carlos Dept Matemat Rodovia Washington Luis Km 235 Caixa Postal 676 BR-13565905 Sao Carlos SP Brazil;

Univ Autonoma Barcelona Dept Matemat Edifici Cc Campus UAB E-08193 Barcelona Catalonia Spain;

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原文格式 PDF
正文语种 eng
中图分类自然科学总论;
关键词
center; global injectivity; real Jacobian conjecture; Pinchuk map;

机译：中心;全球注射;真正的雅各比猜测;Pinchuk地图;

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专利

1. The phase portrait of the Hamiltonian system associated to a Pinchuk map [J] . Artes Joan Carles, Braun Francisco, Llibre Jaume Anais da Academia Brasileira de Ciências . 2018,第3期

机译：与Pinchuk地图相关的Hamiltonian系统的相位肖像
2. PHASE PORTRAITS OF LINEAR TYPE CENTERS OF POLYNOMIAL HAMILTONIAN SYSTEMS WITH HAMILTONIAN FUNCTION OF DEGREE 5 OF THE FORM H = H_1(x) + H_2(y) [J] . Llibre Jaume, Paulina Martinez Y., Vidal Claudio Discrete and continuous dynamical systems . 2019,第1期

机译：具有形式5 = H_1（x）+ H_2（y）的哈密顿函数的多项式哈密顿系统线性类型中心的相态
3. Global Phase Portraits of Z(2)-Symmetric Planar Polynomial Hamiltonian Systems of Degree Three with a Nilpotent Saddle at the Origin [J] . International journal of bifurcation and chaos in applied sciences and engineering . 2020,第1期

机译：Z（2）的全局相位肖像 - 三级三大多项式哈密顿系统，占原产地的尼能马鞍
4. Classification of phase portraits of planar quintic Hamiltonian vector field with Z2-equivariant property [C] . Yan-mei Li 第五届国际非线性力学会议论文集 . 2007

机译：具有Z2等变性质的平面五次哈密顿向量场的相像分类
5. Spectral mapping theorems and invariant manifolds for infinite -dimensional Hamiltonian systems [D] . Stanislavova, Milena Ognianova 2000

机译：无限维哈密顿系统的谱映射定理和不变流形
6. A general statistical framework for mapping quantitative trait loci in nonmodel systems: issue for characterizing linkage phases. [O] . Min Lin, Xiang-Yang Lou, Myron Chang, 2003

机译：在非模型系统中绘制数量性状基因座的一般统计框架：表征连锁阶段的问题。
7. Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form egin{document}$ H = H_1(x)+H_2(y)$end{document} [O] . Jaume Llibre, Y. Paulina Martínez, Claudio Vidal 2019

机译：Maviltonian函数的线性类型中心的相位肖像与汉密尔顿函数的形式 begin {document} $ h = h_1（x）+ h_2（y ）$ 结束{document}
8. Polynomial approximation of Poincare maps for Hamiltonian system [R] . Froeschle, Claude, Petit, Jean-Marc 1992

机译：哈密顿系统poincare映射的多项式逼近

The phase portrait of the Hamiltonian system associated to a Pinchuk map

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