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- W2057469729 abstract "We identify a solvable dynamical system — interpretable to some extent as a many-body problem — and point out that — for an appropriate assignment of its parameters — it is entirely isochronous, namely all its nonsingular solutions are completely periodic (i.e., periodic in all degrees of freedom) with the same fixed period (independent of the initial data). We then identify its equilibrium configurations and investigate its behavior in their neighborhood. We thereby identify certain matrices — of arbitrary order — whose eigenvalues are all rational numbers: a Diophantine finding." @default.
- W2057469729 created "2016-06-24" @default.
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- W2057469729 date "2021-01-01" @default.
- W2057469729 modified "2023-10-14" @default.
- W2057469729 title "Isochronous Dynamical System and Diophantine Relations I" @default.
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- W2057469729 doi "https://doi.org/10.1142/s1402925109000091" @default.
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