We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The Hénon and Heiles Problem in Three Dimensions.
- Authors
Ferrer, S.; Lara, M.; Palacián, J.; Juan, J. F. San; Viartola, A.; Yanguas, P.
- Abstract
The second part of a research on the Hénon and Heiles system in three dimensions is presented. We focus on motions around the origin, where the system may be treated as a case of three perturbed isotropic harmonic oscillators. It is the only Hamiltonian of the family of axially symmetric cubic potentials in 1-1-1 resonance, which needs at least order four in the normalization to reach the features of the system. The fourth order normalized system is analyzed, considering orbits at any inclination. We study and classify the relative equilibria of the system finding pitchfork, centre-saddle and cusp bifurcations in the reduced orbit space.
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 1998, Vol 8, Issue 6, p1215
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127498000954