Partially chaotic orbits in a perturbed cubic force model
Three types of orbits are theoretically possible in autonomous Hamiltonian systems with 3 degrees of freedom: fully chaotic (they only obey the energy integral), partially chaotic (they obey an additional isolating integral besides energy) and regular (they obey two isolating integrals besides energ...
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| Formato: | Articulo |
| Lenguaje: | Inglés |
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2017
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/93656 http://academic.oup.com/mnras/article/471/4/4099/4044715/Partially-chaotic-orbits-in-a-perturbed-cubic |
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I19-R120-10915-93656 |
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dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Ciencias Astronómicas Chaos Numerical methods Celestial mechanics Kinematics (galaxias) Dynamics (galaxias) |
| spellingShingle |
Ciencias Astronómicas Chaos Numerical methods Celestial mechanics Kinematics (galaxias) Dynamics (galaxias) Muzzio, Juan Carlos Partially chaotic orbits in a perturbed cubic force model |
| topic_facet |
Ciencias Astronómicas Chaos Numerical methods Celestial mechanics Kinematics (galaxias) Dynamics (galaxias) |
| description |
Three types of orbits are theoretically possible in autonomous Hamiltonian systems with 3 degrees of freedom: fully chaotic (they only obey the energy integral), partially chaotic (they obey an additional isolating integral besides energy) and regular (they obey two isolating integrals besides energy). The existence of partially chaotic orbits has been denied by several authors, however, arguing either that there is a sudden transition from regularity to full chaoticity or that a long enough follow-up of a supposedly partially chaotic orbit would reveal a fully chaotic nature. This situation needs clarification, because partially chaotic orbits might play a significant role in the process of chaotic diffusion. Here we use numerically computed Lyapunov exponents to explore the phase space of a perturbed three-dimensional cubic force toy model, and a generalization of the Poincare maps to show that partially chaotic orbits ´ are actually present in that model. They turn out to be double orbits joined by a bifurcation zone, which is the most likely source of their chaos, and they are encapsulated in regions of phase space bounded by regular orbits similar to each one of the components of the double orbit |
| format |
Articulo Articulo |
| author |
Muzzio, Juan Carlos |
| author_facet |
Muzzio, Juan Carlos |
| author_sort |
Muzzio, Juan Carlos |
| title |
Partially chaotic orbits in a perturbed cubic force model |
| title_short |
Partially chaotic orbits in a perturbed cubic force model |
| title_full |
Partially chaotic orbits in a perturbed cubic force model |
| title_fullStr |
Partially chaotic orbits in a perturbed cubic force model |
| title_full_unstemmed |
Partially chaotic orbits in a perturbed cubic force model |
| title_sort |
partially chaotic orbits in a perturbed cubic force model |
| publishDate |
2017 |
| url |
http://sedici.unlp.edu.ar/handle/10915/93656 http://academic.oup.com/mnras/article/471/4/4099/4044715/Partially-chaotic-orbits-in-a-perturbed-cubic |
| work_keys_str_mv |
AT muzziojuancarlos partiallychaoticorbitsinaperturbedcubicforcemodel |
| bdutipo_str |
Repositorios |
| _version_ |
1764820491556618241 |