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Ordinary differential equation with non constant coefficients theory: Miscellaneous results

Technical Report:

Abstract

Within the framework of accelerator physics beam dynamics problems, this paper applies the Courant-Snyder theory to second-order ordinary differential equations with non-constant complex coefficients. The same theory is exploited in the case of third-order equations with non-constant real coefficients. The usefulness of the Magnus expansion to get approximate solutions is finally discussed.
Publication Date:
Jun 01, 1991
Product Type:
Technical Report
Report Number:
ENEA-RT-INN-90-70
Reference Number:
SCA: 430200; 662000; PA: ITAN-91:002088; SN: 92000621826
Resource Relation:
Other Information: PBD: Jun 1991
Subject:
43 PARTICLE ACCELERATORS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BEAM DYNAMICS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; 430200; 662000; BEAM DYNAMICS, FIELD CALCULATIONS, AND ION OPTICS; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI ID:
10107672
Research Organizations:
ENEA, Frascati (Italy). Dipt. Sviluppo Tecnologie di Punta
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 1120-558X; Other: ON: DE92744017; TRN: 91:002088
Availability:
OSTI; NTIS (US Sales Only)
Submitting Site:
ITAN
Size:
26 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Dattoli, G, Giannessi, L, Mari, C, Richetta, M, and Torre, A. Ordinary differential equation with non constant coefficients theory: Miscellaneous results. Italy: N. p., 1991. Web.
Dattoli, G, Giannessi, L, Mari, C, Richetta, M, & Torre, A. Ordinary differential equation with non constant coefficients theory: Miscellaneous results. Italy.
Dattoli, G, Giannessi, L, Mari, C, Richetta, M, and Torre, A. 1991. "Ordinary differential equation with non constant coefficients theory: Miscellaneous results." Italy.
@misc{etde_10107672,
title = {Ordinary differential equation with non constant coefficients theory: Miscellaneous results}
author = {Dattoli, G, Giannessi, L, Mari, C, Richetta, M, and Torre, A}
abstractNote = {Within the framework of accelerator physics beam dynamics problems, this paper applies the Courant-Snyder theory to second-order ordinary differential equations with non-constant complex coefficients. The same theory is exploited in the case of third-order equations with non-constant real coefficients. The usefulness of the Magnus expansion to get approximate solutions is finally discussed.}
place = {Italy}
year = {1991}
month = {Jun}
}