International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 707-712
doi:10.1155/S0161171297000963
The fractal structure of the limit set of the solution space of a doubly periodic Riccati equation
Keying Guan
Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China
Abstract
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.