Articles with "persistence lower" as a keyword



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On the Persistence of Lower-Dimensional Tori in Reversible Systems with Hyperbolic-Type Degenerate Equilibrium Point Under Small Perturbations

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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… read more here.

Keywords: small perturbations; lower dimensional; tori reversible; degenerate ... See more keywords
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Persistence of lower dimensional invariant tori in a class of reversible systems

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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… read more here.

Keywords: lower dimensional; invariant tori; persistence lower; dimensional invariant ... See more keywords