We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
FRACTAL AND WADA EXIT BASIN BOUNDARIES IN TOKAMAKS.
- Authors
PORTELA, JEFFERSON S. E.; CALDAS, IBERÊ L.; VIANA, RICARDO L.; SANJUÁN, MIGUEL A. F.
- Abstract
The creation of an outer layer of chaotic magnetic field lines in a tokamak is useful to control plasma-wall interactions. Chaotic field lines (in the Lagrangian sense) in this region eventually hit the tokamak wall and are considered lost. Due to the underlying dynamical structure of this chaotic region, namely a chaotic saddle formed by intersections of invariant stable and unstable manifolds, the exit patterns are far from being uniform, rather presenting an involved fractal structure. If three or more exit basins are considered, the respective basins exhibit an even stronger Wada property, for which a boundary point is arbitrarily close to points belonging to all exit basins. We describe such a structure for a tokamak with an ergodic limiter by means of an analytical Poincaré field line mapping.
- Subjects
TOKAMAKS; FUSION reactors; PINCH effect (Physics); FRACTALS; MAGNETIC fields
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2007, Vol 17, Issue 11, p4067
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S021812740701986X