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

DOI10.1016/0167-2789(89)90098-5zbMath0667.76071OpenAlexW2004141257MaRDI QIDQ1117785

Rainer Grauer

Publication date: 1989

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(89)90098-5

zbMATH Keywords

modulated wavestokamakfour-dimensional nullspacefusion physicsO(2)-actionsstructural stable heteroclinic orbit

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (5)

Existence of regular solution and attractor for tearing mode instabilities with a resistivity depending on a flux function ⋮ Bifurcations of stationary tearing modes with a resistivity depending on a flux function ⋮ Bifurcation analysis of magnetic reconnection in Hall-MHD-systems ⋮ Bifurcation from a stationary solution to a 2D torus for tearing unstable plasmas ⋮ Regular solution and global attractor for a 2D slab of plasma with resistivity depending on a flux function

Cites Work

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• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• Applications of centre manifold theory
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Bifurcations of stationary tearing modes with a resistivity depending on a flux function
• The stable, center-stable, center, center-unstable, unstable manifolds
• The Takens-Bogdanov bifurcation with O(2)-symmetry
• Steady-state mode interactions in the presence of 0(2)-symmetry

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