Chaotic numerics from an integrable Hamiltonian system
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- by Kevin Hockett
- Proc. Amer. Math. Soc. 108 (1990), 271-281
- DOI: https://doi.org/10.1090/S0002-9939-1990-0993752-7
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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 $E$.References
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Bibliographic Information
- © Copyright 1990 American Mathematical Society
- 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