Garczynski, V. Construction of the Courant-Snyder invariants for the non-linear equations of motion and criterion for the long-term stability of the beam in a storage ring. United States: N. p., 1993.
Web. doi:10.2172/6298356.
Garczynski, V. Construction of the Courant-Snyder invariants for the non-linear equations of motion and criterion for the long-term stability of the beam in a storage ring. United States. doi:10.2172/6298356.
Garczynski, V. Mon .
"Construction of the Courant-Snyder invariants for the non-linear equations of motion and criterion for the long-term stability of the beam in a storage ring". United States.
doi:10.2172/6298356. https://www.osti.gov/servlets/purl/6298356.
@article{osti_6298356,
title = {Construction of the Courant-Snyder invariants for the non-linear equations of motion and criterion for the long-term stability of the beam in a storage ring},
author = {Garczynski, V.},
abstractNote = {The Courant-Snyder invariants become Lyapunov functions when the [beta]-functions admit non-zero lower, and finite upper bounds. The long-term stability of motion then follows. This alternative criterion for the long-term stability of motion can be generalized to the nonlinear case. A single particle subjected to an arbitrary static magnetic field is considered in some detail, as an example.},
doi = {10.2172/6298356},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Apr 26 00:00:00 EDT 1993},
month = {Mon Apr 26 00:00:00 EDT 1993}
}
