Published January 19, 2007 | Version v1
Journal article

Adiabatic invariants of some time-dependent oscillators

  • 1. Department of Mechanics, Faculty of Technical Sciences, 21121 Novi Sad (Serbia)

Description

Two types of time-dependent 1D oscillators are considered: parametrically excited, described by the Mathieu equation, and parametrically pumped with a periodic driving force. The adopted field method approach is applied and the complete sets of their linear invariants as well as the corresponding quadratic invariants are derived

Additional details

Identifiers

DOI
10.1088/1751-8113/40/3/008;
PII
S1751-8113(07)27502-X;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
40
Journal Issue
3
Journal Page Range
p. 455-469
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38072885
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
MATHIEU EQUATION; OSCILLATORS; PERIODICITY; TIME DEPENDENCE
Descriptors DEC
DIFFERENTIAL EQUATIONS; ELECTRONIC EQUIPMENT; EQUATIONS; EQUIPMENT; VARIATIONS