Journal article
Capture into resonance: a method for efficient control
Physical review letters, v 93(8), pp 084301-84301
20 Aug 2004
PMID: 15447192
Abstract
To achieve large changes in adiabatic invariants using small control input, a conservative dynamical system must possess an internal resonance. Capture into resonance is an inherently probabilistic process. We propose a control method to make it more structured. We study the motion of charged particles in an electromagnetic field as an example of such a system. When the nominal dynamics brings particles close to a resonance surface, a short control pulse forces the capture of a particle into the resonance with the wave. A captured particle is transported by the wave across the energy levels. The second pulse releases a particle from the resonance when the desired energy level is achieved. We discuss the distribution of energy achieved by the method.
Metrics
Details
- Title
- Capture into resonance: a method for efficient control
- Creators
- Dmitri Vainchtein - University of California, Santa BarbaraIgor Mezić - University of California, Santa Barbara
- Publication Details
- Physical review letters, v 93(8), pp 084301-84301
- Publisher
- Cold Spring Harbor Press
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- C. and J. Nyheim Plasma Institute
- Web of Science ID
- WOS:000223472400035
- Scopus ID
- 2-s2.0-19544389997
- Other Identifier
- 991021861638304721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Physics, Multidisciplinary