Lyapunov stability for a generalized Hénon–Heiles system in a rotating reference frame

Autor:	Ana I. Pascual, Víctor Lanchares, Jesús F. Palacián, J. P. Salas, Manuel Iñarrea, Patricia Yanguas
Rok vydání:	2015
Předmět:	Lyapunov stability Equilibrium point Computational Mathematics Applied Mathematics Mathematical analysis Frame (networking) Point (geometry) Rotating reference frame Focus (optics) Stability (probability) Mathematics Free parameter
Zdroj:	Applied Mathematics and Computation. 253:159-171
ISSN:	0096-3003
DOI:	10.1016/j.amc.2014.12.072
Popis:	In this paper we focus on a generalized Henon-Heiles system in a rotating reference frame, in such a way that Lagrangian-like equilibrium points appear. Our goal is to study their nonlinear stability properties to better understand the dynamics around these points. We show the conditions on the free parameters to have stability and we prove the superstable character of the origin for the classical case; it is a stable equilibrium point regardless of the frequency value of the rotating frame.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::44d1b0c2a30da9c1beef7fc5e59ad785 https://doi.org/10.1016/j.amc.2014.12.072 Zobrazit plný text záznamu Full Text from ScienceDirect