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Published in 2021 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-021-00419-0
Abstract: This paper focuses on the persistence of lower-dimensional tori in reversible systems with hyperbolic-type degenerate equilibrium point under small perturbations. Moreover, the dimension of degenerate variable is greater than or equal to 2. By KAM…
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Keywords:
small perturbations;
lower dimensional;
tori reversible;
degenerate ... See more keywords
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Published in 2018 at "Dynamical Systems"
DOI: 10.1080/14689367.2017.1298725
Abstract: ABSTRACT In this paper we prove the persistence of lower dimensional invariant tori for a class of reversible systems without any non-degeneracy condition. In the proof, we use the special nature that the dimension of…
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Keywords:
lower dimensional;
invariant tori;
persistence lower;
dimensional invariant ... See more keywords