摘要
对动力系统的研究是目前非线性科学领域中最活跃的部分 ,关于复形式离散动力系统的研究在不断深入 ,特别是研究参数空间上由各种不同周期的双曲分量构成的 Mandelbrot集的结构。文章研究了一类复映射 Pm,λ| Zn+ 1 =λZn(1-Z2 mn )在复参数λ平面上 M集的周期 1与周期 2双曲分量 ,得出了与之相关的周期 1与周期
Researches into dynamics are presently the most active parts in the field of nonlinear science, and many advances have been made in the researches into complex separated dynamics,especially in the structures of the M set formed by hyperbolic components with various periods.This paper investigates period 1 and period 2 hyperbolic components in the parameter λ complex surfaces for the M set of complex mapping m,λ ｜Z n+1 =λZ n(1-Z 2m n).The structures and characteristics of period 1 and period 2 atoms related with the corresponding hyperbolic components are also obtained and discussed.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
2000年第6期1055-1057,共3页
Journal of Hefei University of Technology：Natural Science
