VARIATIONAL PRINCIPLE FOR INVARIANT TORI OF FIXED FREQUENCY

被引：64

作者：

PERCIVAL, IC

机构：

[1] Department of Applied Mathematics, Queen Mary College, London El 4NS, Mile End Road

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 03期

关键词：

D O I：

10.1088/0305-4470/12/3/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A fixed frequency Lagrangian variational principle is formulated for the invariant tori of conservative dynamical systems. It avoids the singularities due to small frequency divisors, and for pure rotation provides a strict bound which can be used as a basis for an effective variational method.

引用

页码：L57 / L60

页数：4

共 14 条

[1]

[Anonymous], 1949, VARIATIONAL PRINCIPL

[2]

Arnol'd V.I., 1963, USPEHI MAT NAUK, V18, P85, DOI [DOI 10.1070/RM1963V018N06ABEH001143, 10.1070/RM1963v018n06ABEH001143]

[3]

Arnold V. I., 1961, IZV AKAD NAUK SSSR M, V25, P21

[4]

Born M., 1925, Z PHYS, V34, P858, DOI [DOI 10.1007/BF01328531, 10.1007/BF01328531]

[5]

HELLEMAN RHG, 1978, TOPICS NONLINEAR DYN, V46

[6]

Lifshitz E. M., 1969, MECHANICS

[7]

MOSER J, 1962, NACHR AKAD WISS G 2A, V1, P1

[8]

MOSER J, 1974, STABILITY SOLAR SYST, P1

[9] VIBRATIONAL QUANTIZATION OF POLYATOMIC-MOLECULES [J].

PERCIVAL, IC ;

POMPHREY, N .

MOLECULAR PHYSICS, 1976, 31 (01) :97-114

[10] VARIATIONAL PRINCIPLES FOR INVARIANT TOROIDS OF CLASSICAL DYNAMICS [J].

PERCIVAL, IC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1974, 7 (07) :794-802

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