科研之友
微信
新浪微博
Facebook
分享链接
摘要
The dynamics of map F(alpha,beta)(z) = 1/(alpha + beta e(-z)) are explored for portions of the real parameter plane where no fixed points are present on the real line. Careful tracking of the prepoles of order k and their relationship to asymptotic values yields regions in the parameter plane where attracting or elliptic cycles of period k + 2 are found. When alpha is fixed, it is shown for k = 0 that except for at most finitely many values of beta, the 2-cycles found are indeed attracting. Numerical observations indicate that higher order cycles are also attracting, and the Julia set for two different such cases is depicted.
- 出版日期2010-4
