Blowout bifurcations and the onset of magnetic activity in turbulent dynamos - art. no. 066211

Citation
D. Sweet et al., Blowout bifurcations and the onset of magnetic activity in turbulent dynamos - art. no. 066211, PHYS REV E, 6306(6), 2001, pp. 6211
Citations number
39
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6306
Issue
6
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200106)6306:6<6211:BBATOO>2.0.ZU;2-0
Abstract
The transition to magnetic-field self-generation in a turbulent, electrical ly conducting fluid is shown to exhibit intermittent bursting characterized by distinct scaling laws. This behavior is predicted on the basis of prior analysis of a type of bifurcation (called a blowout bifurcation) occurring in chaotic systems with an invariant phase space submanifold. The predicte d scalings are shown to be consistent with numerical solutions of the gover ning magnetohydrodynamic equations, and implications for recently implement ed experimental programs are discussed.