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Fractal MHD Waves in the Solar Atmosphere

Published online by Cambridge University Press:  12 April 2016

Luigi Nocera*
Affiliation:
Istituto di Fisica Atomica e Molecolare - CNR, Via Giardino 7, I-56127Pisa

Abstract

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Nonlinear MHD waves forced into a bounded cavity exhibit structural instability of their equilibria and periodic orbits as the forcing varies. For some values of the forcing the computed Poincaré maps, Lyapunov exponents and phase-space correlation reveal that the waves become chaotic; the Haussdorff dimension of the waves’ attracting set lies between its correlation dimension (≈ 2.2) and its information dimension (≈ 2.25).

Type
Session 9. Convections and Oscillation in Active Regions
Copyright
Copyright © Astronomical Society of the Pacific 1993

References

Grassberger, P., Procaccia, I. 1983 Physica 9D, 189.Google Scholar
Guckenheimer, J.,Holmes, P. 1983 Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. SpringerVerlag, Berlin.Google Scholar
Hada, T.,Kennel, C. F., Buti, B., Miølhus, E. 1990, Phys. Fluids B2, 2581.Google Scholar
Kaplan, J. L., Yorke, J. A. 1979 Functional Differential Equations and the Approximation to FixedPoints: Lecture Notes in Mathematics, Vol. 730, Peitgen, H. O., Walther, H. O. eds. Springer, Berlin, p.204.Google Scholar
Nocera, L., Priest, E. R. 1991 J. Plasma Physics 46, 153.Google Scholar