A symplectic mapping for the ergodic magnetic limiter and its dynamical analysis

DOI10.1016/S0960-0779(99)00138-1zbMath0954.76099OpenAlexW1977275767MaRDI QIDQ1577211

K. Ullmann, Iberê L. Caldas

Publication date: 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00138-1

zbMATH Keywords

diffusionLyapunov exponentsbifurcationstokamakparameter spaceroutes to chaostoroidal geometrychaotic regionsergodic magnetic limiter coilsmagnetic field line trajectoriesrotational transformstwo-dimensional symplectic mapping

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Magnetohydrodynamics and electrohydrodynamics (76W05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (9)

Chaotic motions of the L-mode to H-mode transition model in tokamak ⋮ Secondary nontwist phenomena in area-preserving maps ⋮ DIFFUSIVE TRANSPORT THROUGH A NONTWIST BARRIER IN TOKAMAKS ⋮ On a new fixed point of the renormalization group operator for area-preserving maps ⋮ FRACTAL AND WADA EXIT BASIN BOUNDARIES IN TOKAMAKS ⋮ Meanders and reconnection–collision sequences in the standard nontwist map ⋮ On the dynamical properties of an elliptical-oval billiard with static boundary ⋮ Phase transition in dynamical systems: defining classes of universality for two-dimensional Hamiltonian mappings via critical exponents ⋮ Bifurcations and onset of chaos on the ergodic magnetic limiter mapping

Cites Work

• Dynamics of the kicked logistic map.
• Regular and chaotic dynamics.
• Dimerized island chains in tokamaks
• Field-line stochasticity in a Tokamak with an Ergodic Magnetic Limiter
• Chaos
• On the symplectically invariant variational principle and generating functions
• Unnamed Item
• Unnamed Item

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