Abstract
In this paper we investigate the behavior of trajectories of one class of rational p-adic dynamical systems in complex p-adic field ℂp. We studied Siegel disks and attractors of such dynamical systems. We found the basin of the attractor of the system. It is proved that such dynamical systems are not ergodic on a unit sphere with respect to the Haar measure.
Original language | English |
---|---|
Pages (from-to) | 76-89 |
Number of pages | 14 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 315 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 1 2006 |
Externally published | Yes |
Keywords
- Attractors
- Complex p-adic field
- Ergodicity
- Rational dynamics
- Siegel disk
ASJC Scopus subject areas
- Analysis
- Applied Mathematics