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

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

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International applied mechanics 2014-11, Vol.50 (6), p.721-729
Hauptverfasser: Martynyuk, A.A., Nikitina, N. B.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Bifurcations
Classical Mechanics
Earth
Magnetic fields
Mathematical analysis
Mathematical models
Physics
Physics and Astronomy
Planes
Qualitative analysis
Stability
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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