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Transition of Magnetohydrodynamical Waves in the Solar Atmosphere

  • L. Nocera
Conference paper

Abstract

Transition to irregular behaviour of Magnetohydrodynamical (MHD) waves is investigated using a simple four-mode dynamical system worked out from the basic MHD equations by means of a Fourier and a multiple-scale analysis. In the initial stage of the transition, when most of the energy in concentrated in the low-wave-number Fourier component, the system behaves like a van dr Pol oscillator, exhibiting saddlenode bifurcations. Hopf bifurcations are found numerically when the low- and high-wavenumber components have comparable magnitude. Two Hopf bifurcations leading to a two-D torus are followed by bifurcation to a nonperiodic attractor.

Keywords

Hopf Bifurcation Alfven Wave Coronal Heating Convective Layer Magnetohydrodynamical Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • L. Nocera
    • 1
  1. 1.IFAM-CNRPisaItaly

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