Periodic orbits associated to Hamiltonian functions of degree four

Autor:	Dante Carrasco-Olivera, Marco Uribe, Claudio Vidal
Rok vydání:	2021
Předmět:	Combinatorics symbols.namesake Polynomial Crystallography Homogeneous symbols Periodic orbits Statistical and Nonlinear Physics Hamiltonian (quantum mechanics) Mathematical Physics Mathematics Hamiltonian system
Zdroj:	JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS Artículos CONICYT CONICYT Chile instacron:CONICYT
ISSN:	1776-0852
DOI:	10.1080/14029251.2014.936756
Popis:	We consider the Hamiltonian polynomial function H of degree fourth given by either H (x, y, px, py) = ( + ) + (x2 +y2) + V3(x;y) + V4(x,y), or H (x, y, px, py) = (- + ) + (-x2 +y2) + V3 (x, y) + V4 (x, y), where V3 (x, y) and V4 (x, y) are homogeneous polynomials of degree three and four, respectively. Our main objective is to prove the existence and stability of periodic solutions associated to H using the classical averaging method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c1c9012a8073260d12f32ad56e09f1c https://doi.org/10.1080/14029251.2014.936756 Zobrazit plný text záznamu Full text from SpringerLink