Infinity of minimal homoclinic orbits

被引：3

作者：

Zhou, Min ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

NONLINEARITY | 2011年 / 24卷 / 03期

关键词：

DEFINITE LAGRANGIAN SYSTEMS; CONNECTING ORBITS; AUBRY SETS;

D O I：

10.1088/0951-7715/24/3/010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that there are infinitely many (M) over bar -semi-static homoclinic orbits to (A) over tilde (0) under the condition that there exists a cohomology c at the boundary of the flat such that h(c)(g) > 0 holds for each 0 not equal g is an element of H(1)(M x T, A(0), Z).

引用

页码：931 / 939

页数：9

共 50 条

[21] Ideal systems and connecting orbits
Yu S.-X.
Zheng Z.-H.
Hu F.-N.
Acta Mathematicae Applicatae Sinica, 2004, 20 (4) : 617 - 622
[22] VARIATIONAL CONSTRUCTION OF CONNECTING ORBITS
MATHER, JN
ANNALES DE L INSTITUT FOURIER, 1993, 43 (05) : 1349 - 1386
[23] Isolating block and existence of connecting orbits
Yu, SX
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1997, 40 (06): : 572 - 577
[24] Isolating block and existence of connecting orbits
Shuxiang Yu
Science in China Series A: Mathematics, 1997, 40 : 572 - 577
[25] Successive continuation for locating connecting orbits
Doedel, EJ
Friedman, MJ
Kunin, BI
NUMERICAL ALGORITHMS, 1997, 14 (1-3) : 103 - 124
[26] Existence of diffusion orbits in a lattice system
Li, Ji
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (06) : 1075 - 1088
[27] Isolating block and existence of connecting orbits
余澍祥
Science China Mathematics, 1997, (06) : 572 - 577
[28] Successive continuation for locating connecting orbits
E. J. Doedel
M. J. Friedman
B. I. Kunin
Numerical Algorithms, 1997, 14 : 103 - 124
[29] Connecting orbits of time dependent Lagrangian systems
Bernard, P
ANNALES DE L INSTITUT FOURIER, 2002, 52 (05) : 1533 - +
[30] On manifolds of connecting orbits in discretizations of dynamical systems
Zou, YK
Beyn, WJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (05) : 1499 - 1520

← 1 2 3 4 5 →