International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 707-712

The fractal structure of limit set of solution space of a doubly periodic Ricatti equation

Ke-Ying Guan

Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China

Received 26 December 1995

Copyright © 1997 Ke-Ying Guan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The limit set of the Kleinian group of a given doubly periodic Riccati equation is proved to have a fractal structure if the parameter δ(λ) of the equation is greater than 3+22, and a possible Hausdorff dimension is suggested to the limit set.