Abstract. The Hamiltonian system associated to the Hamiltonian, where ε and a are parameters and ε is small, describes the local motion in the central area of a galaxy. Its dynamics have been study by many authors. Here we find analytically new families of periodic orbits of this Hamiltonian system.
Abstract. The decomposition of radioactive chemical products usually follows an exponential dynamics. The present paper deals with the problem of analyzing the unknown dynamics of pseudoradioactive materials for which we have a temporal sample of the amount of the decomposing product. The strategy for studying if the adjustment of the dynamics is or not of exponential type is to use a recent generalization of the Shannon's sampling theorem for nonband limited signals. The aim of the paper is to present an alternative and short proof of this result with a completely dierent approach to the original one by using transform theory.
The aim of the present paper is to study the periodic orbits of a hydrogen atom under the effects of a circularly polarized microwave field and a static magnetic field orthogonal to the plane of polarization of the magnetic field via averaging theory. Moreover, the technique used for proving the existence of isolated periodic orbits allows us to provide information on the $\mathcal {C}^{1}$C1–integrability of this mechanic–chemical system.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.