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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Chaotic numerics from an integrable Hamiltonian system


Author: Kevin Hockett
Journal: Proc. Amer. Math. Soc. 108 (1990), 271-281
MSC: Primary 58F13; Secondary 58F05, 65D99, 65L99, 70F05, 70H05
DOI: https://doi.org/10.1090/S0002-9939-1990-0993752-7
MathSciNet review: 993752
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Abstract: We study the dynamics of the map $ E$ obtained by applying Euler's method with stepsize $ h$ to the central force problem. We prove that, for any $ h > 0$, the nonwandering set of $ E$ contains a subset on which the dynamics of $ E$ are topologically semiconjugate to a subshift of finite type. The subshift has positive topological entropy, hence so does $ E$.


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DOI: https://doi.org/10.1090/S0002-9939-1990-0993752-7
Article copyright: © Copyright 1990 American Mathematical Society

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