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| Format: | Artículo científico |
| Sprache: | en |
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Sociedade Brasileira de Física
2014
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| Online-Zugang: | https://www.redalyc.org/articulo.oa?id=46431122010 |
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| _version_ | 1866814277460951040 |
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| author | S. M. Jazayeri |
| author_facet | S. M. Jazayeri |
| contents | Locating Cantori for Symmetric Tokamap and Symmetric Ergodic Magnetic Limiter Map Using Mean-Energy Error Criterion S. M. Jazayeri A. R. Sohrabi Física, Astronomía y Matemáticas Cantori Tokamap Tokamak Symplectic maps Ergodic magnetic limiter map 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 consid- er two symplectic maps, systematically derived from the Ham- ilton–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 toka- mak, 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. 2014 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46431122010 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2-3 Vol.44 |
| format | Artículo científico |
| id | redalyc_46431122010 |
| language | en |
| publishDate | 2014 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Locating Cantori for Symmetric Tokamap and Symmetric Ergodic Magnetic Limiter Map Using Mean-Energy Error Criterion S. M. Jazayeri Física, Astronomía y Matemáticas Cantori Tokamap Tokamak Symplectic maps Ergodic magnetic limiter map Locating Cantori for Symmetric Tokamap and Symmetric Ergodic Magnetic Limiter Map Using Mean-Energy Error Criterion S. M. Jazayeri A. R. Sohrabi Física, Astronomía y Matemáticas Cantori Tokamap Tokamak Symplectic maps Ergodic magnetic limiter map 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 consid- er two symplectic maps, systematically derived from the Ham- ilton–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 toka- mak, 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. 2014 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46431122010 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.2-3 Vol.44 |
| title | Locating Cantori for Symmetric Tokamap and Symmetric Ergodic Magnetic Limiter Map Using Mean-Energy Error Criterion |
| topic | Física, Astronomía y Matemáticas Cantori Tokamap Tokamak Symplectic maps Ergodic magnetic limiter map |
| url | https://www.redalyc.org/articulo.oa?id=46431122010 |