Some comments on numerical methods for chaos problems

被引：0

作者：

Miller, RH

机构：

[1] Astronomy Center, University of Chicago, Chicago, IL 60637

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 1996年 / 64卷 / 1-2期

关键词：

chaotic motion; numerical methods; discrete arithmetic;

D O I：

10.1007/BF00051603

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Hamiltonian systems with chaotic regions are particularly slippery to treat numerically. Numerical treatments can introduce nonphysical features. Simple examples illustrate some of the pitfalls. Integer, or discrete, arithmetic is a favorite ''workaround.'' While it does not cure chaos, it clarifies the interaction of computational methods with the underlying mathematical structure. Be forewarned: I won't give any prescription that is guaranteed to give a good and reliable method to handle chaotic problems numerically. Instead, I'll stress a few of the concerns and describe one or two pitfalls.

引用

页码：33 / 42

页数：10