@article{32bb2c923ba8438f9c527c456c2d9879,
title = "On a polytope containing all compact invariant sets for a class of natural polynomial Hamiltonian systems",
abstract = "In this paper we give sufficient conditions under which there exists a polytope containing all compact invariant sets for one class of natural polynomial Hamiltonian systems. As an example, we compute bounds of a polytope with this property for a class of natural polynomial Hamiltonian systems with a cubic potential and two degrees of freedom.",
keywords = "Compact invariant set, Hamiltonian system, localization, polynomial",
author = "Starkov, {Konstantin E.}",
note = "Funding Information: This work is supported by the CONACYT project “An{\'a}lisis de Localizaci{\'o}n de Conjuntos Com-pactos Invariantes de Sistemas NO Lineales Con Din{\'a}mica Compleja Y Sus Aplicaciones,” N. 000000000078890, Mexico.",
year = "2011",
month = jul,
doi = "10.1142/S0218127411029550",
language = "Ingl{\'e}s",
volume = "21",
pages = "1953--1958",
journal = "International Journal of Bifurcation and Chaos",
issn = "0218-1274",
number = "7",
}