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Adiabatic invariants of some time-dependent oscillators

Adiabatic invariants of some time-dependent oscillators
Adiabatic invariants of some time-dependent oscillators
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.
1751-8113
455-470
Kovacic, Ivana
a84bc948-5aa9-444f-8a58-12a731808a20
Kovacic, Ivana
a84bc948-5aa9-444f-8a58-12a731808a20

Kovacic, Ivana (2007) Adiabatic invariants of some time-dependent oscillators. Journal of Physics A: Mathematical and Theoretical, 40 (3), 455-470. (doi:10.1088/1751-8113/40/3/008).

Record type: Article

Abstract

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.

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Published date: 2007
Organisations: Dynamics Group

Identifiers

Local EPrints ID: 79139
URI: http://eprints.soton.ac.uk/id/eprint/79139
ISSN: 1751-8113
PURE UUID: fa4f36e1-62a7-4f09-95a5-64ead9f4b1f2

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Date deposited: 11 Mar 2010
Last modified: 14 Mar 2024 00:28

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Author: Ivana Kovacic

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