Electronic Resource
Springer
Celestial mechanics and dynamical astronomy
64 (1996), S. 33-42
ISSN:
1572-9478
Keywords:
Chaotic motion
;
numerical methods
;
discrete arithmetic
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00051603
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