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

Abstract

ABSTRACT. The As a global analytic function (see [7]), a solution of equation (1) is usually multiple-valued It is proved in [5] that (1) has two particular solutions z,. (t) and z,2(t), which have respectively single-valued and analytical periodic branches rl (t) and L2 (t) with the period 2cr in the strip region D {tlllm(t)l < },