Bifurcation from a stationary solution to a 2D torus for tearing unstable plasmas

DOI10.1016/S0893-9659(00)00038-0zbMath0960.35082MaRDI QIDQ1585509

M. Berroukeche, E. K. Maschke, Bernard Saramito

Publication date: 16 November 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

center manifoldMHD equationstearing instability of a plasma

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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Hopf bifurcation for tearing instability in magnetohydrodynamics, theory and numerical results ⋮ Problems of mhd stability in thermonuclear fusion plasmas

Cites Work

• Nonlinear interactions of tearing modes in the vicinity of a bifurcation point of codimension two
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