Fixed points of non-Hamiltonian symplectomorphisms

被引：0

作者：

Luisa D. Stelling

机构：

[1] A.C. (CIMAT),Centro de Investigación en Matemáticas

来源：

The Journal of Geometric Analysis | 2001年 / 11卷 / 4期

关键词：

primary: 53D40; secondary: 58E05; Arnold conjecture; Floer homology; pseudo-holomorphic curves; fixed points;

D O I：

10.1007/BF02930763

中图分类号：

学科分类号：

摘要：

In this article we study a version of the Arnold conjecture for symplectic maps that are not Hamiltonian. That is, we give a lower bound for the number of fixed points such a map must have. We achieve the result for symplectic maps with sufficiently small Calabi invariant.

引用

页码：693 / 716

页数：23

共 50 条

[21] A NON-HAMILTONIAN, NONDEGENERATE DELAUNAY TRIANGULATION
DILLENCOURT, MB
INFORMATION PROCESSING LETTERS, 1987, 25 (03) : 149 - 151
[22] First integrals of hamiltonian and non-hamiltonian systems and chaos
Bouquet, S.
Dewisme, A.
Proceedings Needs on Nonlinear Evolution Equations and Dynamical Systems, 1992,
[23] THE STOCHASTIC APPROACH FOR NON-HAMILTONIAN SYSTEMS
TZANI, R
THEORETICAL AND MATHEMATICAL PHYSICS, 1994, 100 (01) : 916 - 920
[24] NON-HAMILTONIAN NON-GRINBERGIAN GRAPHS
ZAKS, J
DISCRETE MATHEMATICS, 1977, 17 (03) : 317 - 321
[25] HAMILTONIAN AND NON-HAMILTONIAN MODELS FOR WATER-WAVES
OLVER, PJ
LECTURE NOTES IN PHYSICS, 1984, 195 : 273 - 290
[26] Quantization of non-Hamiltonian physical systems
Bolivar, AO
PHYSICAL REVIEW A, 1998, 58 (06): : 4330 - 4335
[27] A large set of non-Hamiltonian graphs
Katona, GY
DISCRETE APPLIED MATHEMATICS, 2001, 115 (1-3) : 99 - 115
[28] Quantization of non-Hamiltonian and dissipative systems
Tarasov, VE
PHYSICS LETTERS A, 2001, 288 (3-4) : 173 - 182
[29] Non-Hamiltonian commutators in quantum mechanics
Sergi, A
PHYSICAL REVIEW E, 2005, 72 (06):
[30] NON-HAMILTONIAN FORMULATION OF ISING CHAIN
MARCHAND, JP
MARTIN, PA
FOUNDATIONS OF PHYSICS, 1974, 4 (04) : 465 - 472

← 1 2 3 4 5 →