Methods of stability analysis in nonlinear mechanics

Conference · Sun Jan 01 00:00:00 EST 1989

OSTI ID:6502809

Warnock, R L; Ruth, R D; Gabella, W; Ecklund, K

We review our recent work on methods to study stability in nonlinear mechanics, especially for the problems of particle accelerators, and compare our ideals to those of other authors. We emphasize methods that (1) show promise as practical design tools, (2) are effective when the nonlinearity is large, and (3) have a strong theoretical basis. 24 refs., 2 figs., 2 tabs.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (USA); Colorado Univ., Boulder (USA). Dept. of Physics
• DOE Contract Number: AC03-76SF00515; FG02-86ER40302
• OSTI ID: 6502809
• Report Number(s): SLAC-PUB-4846; CONF-8707208-4; ON: DE89007779
• Resource Relation: Conference: Physics of particle accelerators summer school, Batavia, IL, USA, 20 Jul 1987; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCELERATORS
CLASSICAL MECHANICS
CANONICAL TRANSFORMATIONS
HAMILTON-JACOBI EQUATIONS
NONLINEAR PROBLEMS
PERTURBATION THEORY
PHASE SPACE
STABILITY
TRAJECTORIES
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
TRANSFORMATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics