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

M. Iñarrea, V. Lanchares, J.F. Palacián, A.I. Pascual, J.P. Salas and P. Yanguas

Applied Mathematics and Computation, 2015, vol. 253, issue C, 159-171

Abstract: In this paper we focus on a generalized Hénon–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.

Keywords: Lyapunov stability; Generalized Hénon–Heiles system; Resonances (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:253:y:2015:i:c:p:159-171

DOI: 10.1016/j.amc.2014.12.072

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