Published 1991
| Version v1
Report
Resonance seeding of stability boundaries in two and four dimensions
Description
'Resonance seeding' refers to the hypothesis that the stochastic layer delineating the dynamic aperture of a Hamiltonian system grows out of separatrices generated by very low order resonances. This is a physics hypothesis and should not be interpreted as arising from any particular technique for writing perturbative expansions, such as the ones developed by Deprit, Dragt, or Forest. Although analytic representations of the resonances are indeed obtained via perturbation theory, existence of the separatrices and the validity (or otherwise) of resonance seeding are separate from it. The authors describe some of the evidence supporting this idea in two and four dimensions
Additional details
Publishing Information
- Imprint Title
- Conference record of the 1991 IEEE particle accelerator conference: Accelerator science and technology. Volume 3 of 5
- Imprint Pagination
- 723 p.
- Journal Page Range
- p. 1881-1883.
- Report number
- DOE/ER/40607--1-Vol.3
Conference
- Title
- 1991 Institute of Electrical and Electronics Engineers (IEEE) particle accelerator conference (PAC).
- Dates
- 6-11 May 1991.
- Place
- San Francisco, CA (United States).
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 24001702
- Subject category
- S43: PARTICLE ACCELERATORS;
- Resource subtype / Literary indicator
- Conference, Non-conventional Literature
- Descriptors DEI
- BEAM DYNAMICS; BEAM-BEAM INTERACTIONS; ELECTROSTATICS; FERMILAB TEVATRON; MAGNETIC ISLANDS; MAGNETIC SURFACES; MAPS; ORBIT STABILITY; PERTURBATION THEORY; RESONANCE; SEPARATION PROCESSES; STOCHASTIC PROCESSES
- Descriptors DEC
- ACCELERATORS; CYCLIC ACCELERATORS; DYNAMICS; MAGNETIC FIELD CONFIGURATIONS; MECHANICS; STABILITY; SYNCHROTRONS
Optional Information
- Secondary number(s)
- CONF-910505--Vol.3.