Locating Cantori for Symmetric Tokamap and Symmetric Ergodic Magnetic Limiter Map Using Mean-Energy Error Criterion



Título del documento: Locating Cantori for Symmetric Tokamap and Symmetric Ergodic Magnetic Limiter Map Using Mean-Energy Error Criterion
Revista: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000376099
ISSN: 0103-9733
Autors: 1
2
Institucions: 1Iran University of Science and Technology, Physics Department, Teherán. Irán
2Islamic Azad University, Faculty of Computer and Information Technology Engineering, Qazvin. Irán
Any:
Període: Jun
Volum: 44
Número: 2-3
Paginació: 247-254
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés We use a method based on the conservation of energy, the mean-energy error criterion, to approximately locate the place of a cantorus by locating the series of its convergents. The mean-energy error curve has nearly stationary parts in the vicinity of elliptic (minimax) orbits, the so-called magnetic islands. Stable minimax orbits converge to orbits homoclinic to a cantorus. By tracing the island series, we limit the cantorus to a narrow region. A near-critical perturbation parameter is used so that, while the cantorus may be destabilized, its high-order minimax orbits remain intact. As illustrations, we consider two symplectic maps, systematically derived from the Hamilton–Jacobi equation and Jacobi’s theorem, in the context of the magnetically confined plasmas in a tokamak: a symmetric tokamap realistically reproduces the main features of a tokamak, and a symmetric ergodic magnetic limiter (EML) map is defined to describe the action of EML rings on the magnetic field lines in the tokamak
Disciplines Física y astronomía
Paraules clau: Física,
Magnetismo,
Conservación de la energía,
Mapas simplécticos,
Limitador magnético ergódico
Keyword: Physics and astronomy,
Physics,
Magnetism,
Energy conservation,
Ergodic magnetic limiter,
Symplectic maps
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