Time-dependent perturbation theory for the construction of invariants of Hamiltonian systems

被引：18

作者：

Lewis, HR ^{[1
]}

Bates, JW ^{[1
]}

Finn, JM ^{[1
]}

机构：

[1] LOS ALAMOS NATL LAB,LOS ALAMOS,NM 87545

来源：

PHYSICS LETTERS A | 1996年 / 215卷 / 3-4期

关键词：

perturbation theory; Hamiltonian systems; invariants; Mathieu equation;

D O I：

10.1016/0375-9601(96)00221-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A time-dependent perturbation theory is presented for iteratively constructing invariants for a Hamiltonian consisting of a time-independent zeroth-order term plus a time-dependent perturbation. The procedure involves only a single canonical transformation and small divisors can be avoided. The Mathieu equation is treated as an example.

引用

页码：160 / 166

页数：7

共 12 条

[1]

ABRAMOWITZ M, HDB MATH FUNCTIONS, pCH20

[2]

ANTON H, 1984, CALCULUS ANAL GEOMET

[3]

Bates J.D., UNPUB

[4]

BATES JW, 1995, UNPUB P SHERW THEOR