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.
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页码：33 / 42
页数：10
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