Lyapunov stability for a generalized Hénon-Heiles system in a rotating reference frame
- Iñarrea, M. 1
- Lanchares, V. 1
- Palacián, J.F. 2
- Pascual, A.I. 1
- Salas, J.P. 1
- Yanguas, P. 2
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1
Universidad de La Rioja
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2
Universidad Pública de Navarra
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ISSN: 0096-3003
Argitalpen urtea: 2015
Alea: 253
Orrialdeak: 159-171
Mota: Artikulua
Beste argitalpen batzuk: Applied Mathematics and Computation
Lotura duten proiektuak
Laburpena
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.