ON POLYNOMIAL HAMILTONIAN PLANAR VECTOR-FIELDS

被引：22

作者：

CIMA, A ^{[1
]}

GASULL, A ^{[1
]}

MANOSAS, F ^{[1
]}

机构：

[1] UNIV AUTONOMA BARCELONA,FAC CIENCIES,DEPT MATEMAT,E-08193 BARCELONA,SPAIN

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1993年 / 106卷 / 02期

关键词：

D O I：

10.1006/jdeq.1993.1112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the dynamical behaviour of polynomial hamiltonian planar vector fields. Particularly we analyze the structure of finite and infinite critical points and we obtain the best upper bound of the number of centers and of the number of saddles that a system of this type can exhibit, depending on its degree. © 1993 Academic Press. All rights reserved.

引用

页码：367 / 383

页数：17

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[1] STRUCTURAL STABILITY OF PLANAR HAMILTONIAN POLYNOMIAL VECTOR-FIELDS
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[2] THE MONOTONICITY OF THE PERIOD FUNCTION FOR PLANAR HAMILTONIAN VECTOR-FIELDS
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