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Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-019-09814-6
Abstract: We apply Reeb’s theorem to prove the existence of periodic orbits in the rotating Hénon–Heiles system. To this end, a sort of detuned normal form is calculated that yields a reduced system with at most…
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Keywords:
non heiles;
rotating non;
orbits rotating;
periodic orbits ... See more keywords
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Published in 2018 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-021-2086-4
Abstract: We show that v n -periodic homotopy groups detect homotopy equivalences between simply-connected finite CW-complexes.
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Keywords:
whitehead theorem;
periodic homotopy;
theorem periodic;
homotopy groups ... See more keywords