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.
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}
}
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}
}