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Pseudo periodic orbits of the planar collision restricted 3-body problem in rotating coordinates
(Pergamon-elsevier Science LtdOxfordInglaterra, 2009)
Periodic orbits of a Hamiltonian system related with the Friedmann–Robertson–Walker system in rotating coordinates
(2020-12-01)
We provide sufficient conditions on the four parameters of a Hamiltonian system, related with the Friedmann–Robertson–Walker Hamiltonian system in a rotating reference frame, which guarantee the existence of 12 continuous ...
Periodic orbits for space-based reflectors in the circular restricted three-body problem
(2017-05-01)
The use of space-based orbital reflectors to increase the total insolation of the Earth has been considered with potential applications in night-side illumination, electric power generation and climate engineering. Previous ...
Limit cycles for a mechanical system coming from the perturbation of a four-dimensional linear center
(SpringerNew YorkEUA, 2006)
On the existence and stability of periodic orbits in non ideal problems: General results
(2007-11-01)
In this work, motivated by non-ideal mechanical systems, we investigate the following O.D.E. ẋ = f (x) + εg (x, t) + ε2g (x, t, ε), where x ∈ Ω ⊂ ℝn, g, g are T periodic functions of t and there is a 0 ∈ Ω such that f (a ...
Three-dimensional retrograde periodic orbits of asteroids moving in mean motion resonances with Jupiter
(2022-01-01)
We study the dynamics of interior mean motion resonances of first, second and third order with Jupiter using the model of the restricted three-body problem with the Sun and Jupiter as primaries and we focus on asteroids ...
Orbital Stability Of Periodic Traveling-wave Solutions For The Log-kdv Equation
(Academic Press Inc., 2016)
Periodic orbits of a generalized Hénon–Heiles systemÓrbitas periódicas de un sistema Hénon-Heiles generalizado
(Journal of Physics: A Mathematical & Theoretical, 2020)
On the periodic orbits of the third-order differential equation x ′′′ − µx ′′ + x ′ − µx = εF (x, x ′ , x ′′)
(2013)
In this paper we study the periodic orbits of the third-order differential equation x ′′′−µx ′′+ x ′ − µx = εF (x, x ′ , x ′′), where ε is a small parameter and the function F is of class C 2 .
ON THE BIRTH OF MINIMAL SETS FOR PERTURBED REVERSIBLE VECTOR FIELDS
(Amer Inst Mathematical SciencesSpringfieldEUA, 2011)