Title :
Resonance seeding of stability boundaries in two and four dimensions
Author_Institution :
Fermilab, Batavia, IL, USA
Abstract :
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. Although analytic representations of the resonances are obtained via perturbation theory, the existence of the separatrices and the validity (or otherwise) of resonance seeding are separate from it. The author describes some of the evidence supporting this idea in two and four dimensions.<>
Keywords :
particle beam diagnostics; Hamiltonian system; dynamic aperture; particle beam diagnostics; perturbation theory; resonance seeding; separatrices; stochastic layer; very low order resonances; Apertures; Chaos; Low earth orbit satellites; Orbital calculations; Physics; Stability; Stochastic resonance; Stochastic systems; Storage rings; Writing;
Conference_Titel :
Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE
Conference_Location :
San Francisco, CA, USA
Print_ISBN :
0-7803-0135-8
DOI :
10.1109/PAC.1991.164809
