Stability and Bifurcation in a Model of the Magnetic Field of the Earth

The zero solution is found to be unstable in the general case ( a ≠ 0). A qualitative analysis establishes the existence of a plane attractor ( a = 0) and bifurcations of the trajectory in the Rikitake model. An analytical solution is expressed in the coordinates associated with the plane

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Bibliographic Details
Published in:International applied mechanics 2014-11, Vol.50 (6), p.721-729
Main Authors: Martynyuk, A.A., Nikitina, N. B.
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Bifurcations
Classical Mechanics
Earth
Magnetic fields
Mathematical analysis
Mathematical models
Physics
Physics and Astronomy
Planes
Qualitative analysis
Stability
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Description
Summary:The zero solution is found to be unstable in the general case ( a ≠ 0). A qualitative analysis establishes the existence of a plane attractor ( a = 0) and bifurcations of the trajectory in the Rikitake model. An analytical solution is expressed in the coordinates associated with the plane
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-014-0670-6