carpathian_2022_38_3_631_640_001

Periodic solutions for certain Hamiltonian systems in arbitrary dimension and global parametrization of some manifolds


Tiba, Dan


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carpathian_2022_38_3_631_640

It has been recently shown that the limit cycle situation is not valid for Hamiltonian systems in dimension two, under appropriate conditions. The applications concern global parametrizations of closed curves in the plane and optimal design problems. Here, we discuss a partial extension of this result, for certain Hamiltonian-type systems in higher dimension.

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Author(s)

Tiba, Dan

DOI

https://doi.org/10.37193/CJM.2022.03.09