【摘要】 研究函数fa(z)=zexp(z+a+πi)的动力学,证明了下列结果:当a<0时,Fatou集F(fa)是一个完全不变吸引域;存在an>0,使得fan具有2n阶超吸引域,而当a>an时,fa没有2n阶超吸引域;an单调增加趋于无穷大;集合B0={aRJ(fa)=C}是一个无界集.更多还原

【Abstract】 In this paper,dynamics of the function f_a（z）=zexp（z+a+πi） is studied.The following results have been proved.The Fatou set f（f_a） is a completely invariant absorbing domain for a<0.There exists a_n>0 such that f_a<sub>n has super absorbing domains of 2n-order,but f_a has no super absorbing domains of 2n-order for a>a_n.Furthermore,a_n is monotone increasing toward infinity.The set B₀={aRJ（f_a）=C} is unbounded.更多还原