Rotational solutions of prescribed period of Hamiltonian systems on $\R^{2n-k}\ts T^k$

TL;DR

This paper investigates Hamiltonian systems on a combined Euclidean and toroidal space, establishing the existence of multiple rotational solutions with a focus on prescribed periods.

Contribution

It introduces new methods for finding multiple rotational solutions in Hamiltonian systems on n-k  T^k, expanding understanding of such systems.

Findings

Existence of multiple rotational solutions established.

Solutions are obtained with prescribed periods.

Advances in Hamiltonian system analysis on mixed spaces.

Abstract

In this paper, we consider Hamiltonian systems on $\R^{2n-k}\ts T^k$. Multiple rotational solutions are obtained.