Logo image
Bifurcation for dynamical systems of planet-belt interaction
Journal article   Peer reviewed

Bifurcation for dynamical systems of planet-belt interaction

Ing-Guey Jiang and Li-Chin Yeh
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol.13(3), pp.617-630
03/2003

Abstract

Bifurcation Phase-plane analysis Stellar dynamics
The dynamical systems of planet-belt interaction are studied by the fixed-point analysis, and the bifurcation of solutions on the parameter space is discussed. For most cases, our analytical and numerical results show that the locations of fixed points are determined by the parameters and these fixed points are either structurally stable or unstable. In addition to that, there are two special fixed points: The one on the inner edge of the belt is asymptotically stable and the one on the outer edge of the belt is unstable. This is consistent with the observational picture of Asteroid Belt between Mars and Jupiter: Mars moves steadily close to the inner edge but Jupiter is quite far from the outer edge.

Metrics

1 Record Views

Details

Logo image