VARIATIONAL CONSTRUCTION OF CONNECTING ORBITS

被引：250

作者：

MATHER, JN ^{[1
]}

机构：

[1] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08544

来源：

ANNALES DE L INSTITUT FOURIER | 1993年 / 43卷 / 05期

关键词：

LAGRANGIAN SYSTEM; ACTION MINIMIZING SETS; CONNECTING ORBITS;

D O I：

10.5802/aif.1377

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the context of certain periodic Lagrangian systems, we find sufficient conditions for the existence of an orbit connecting two action minimizing sets. We also find sufficient conditions for the existence of an orbit which visits (to within epsilon) each of a sequence of action minimizing sets, in turn. These results generalize to n degrees of freedom results previously obtained in 1 degree of freedom (area preserving mappings) [Ma5].

引用

页码：1349 / 1386

页数：38

共 50 条

[41] Numerical analysis of degenerate connecting orbits for maps
Beyn, WJ
Hüls, T
Kleinkauf, JM
Zou, YK
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (10): : 3385 - 3407
[42] On Mather's connecting orbits in standard mapping
Yamaguchi, Yoshihiro
Tanikawa, Kiyotaka
PROGRESS OF THEORETICAL PHYSICS, 2008, 119 (04): : 533 - 559
[43] On the Existence and Uniqueness of Connecting Orbits for Cooperative Systems
蒋继发
ActaMathematicaSinica, 1992, (02) : 184 - 188
[44] Connecting orbits of time dependent Lagrangian systems
Bernard, P
ANNALES DE L INSTITUT FOURIER, 2002, 52 (05) : 1533 - +
[45] On manifolds of connecting orbits in discretizations of dynamical systems
Zou, YK
Beyn, WJ
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (05) : 1499 - 1520
[46] CONNECTING ORBITS IN HILBERT SPACES AND APPLICATIONS TO PDE
Smyrnelis, Panayotis
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (05) : 2797 - 2818
[47] Periodic solutions and their connecting orbits of hamiltonian systems
Chen, CN
Tzeng, SY
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 177 (01) : 121 - 145
[48] On the Existence and Uniqueness of Connecting Orbits for Cooperative Systems
蒋继发
Acta Mathematica Sinica,English Series, 1992, (02) : 184 - 188
[49] Numerical approximation of connecting orbits with asymptotic rate
Thorsten Pampel
Numerische Mathematik, 2001, 90 : 309 - 348
[50] Numerical continuation of connecting orbits of maps in MATLAB
Ghaziani, R. Khoshsiar
Govaerts, W.
Kuznetsov, Yu. A.
Meijer, H. G. E.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 15 (8-9) : 849 - 875

← 1 2 3 4 5 →