Solutions of doubly and higher order iterated equations

被引：0
|
作者：
Brown, BA
Brown, AR
Shlesinger, MF
机构：
[1] USN, Res Lab, Washington, DC 20375 USA
[2] Off Naval Res, Arlington, VA 22210 USA
来源：
JOURNAL OF STATISTICAL PHYSICS | 2003年 / 110卷 / 3-6期
关键词：
dynamical systems; iterated equations; duplication equations; finite difference equations;
D O I：
10.1023/A:1022144826671
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Michael Fisher once studied the solution of the equation f(f(x)) = x(2) - 2. We offer solutions to the general equation f(f(x)) = h(x) in the form f(x) = g(ag(-1)(x)) where a is in general a complex number. This leads to solving duplication formulas for g( x). For the case h(x) = x(2) - 2, the solution is readily found, while the h(x) = x(2) + 2 case is challenging. The solution to these types of equations can be related to differential equations.
引用
收藏
页码：1087 / 1097
页数：11
相关论文
共 50 条
12345