Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites.
Lara, Martin, Palacián, Jesús F. (2009)
Mathematical Problems in Engineering
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Displaying similar documents to “Bifurcations in the two imaginary centers problem”
Hill problem analytical theory to the order four: application to the computation of frozen orbits around planetary satellites.
Alternative transfers to the NEOs 99942 apophis, 1994 WR12, and 2007 UW1 via derived trajectories from periodic orbits of family G.
de Melo, C.F., Macau, E.E.N., Winter, O.C. (2009)
Mathematical Problems in Engineering
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Reversible complex Hénon maps.
Jordan, C.R., Jordan, D.A., Jordan, J.H. (2002)
Experimental Mathematics
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Periodic parametric perturbation control for a 3D autonomous chaotic system and its dynamics at infinity
Zhen Wang, Wei Sun, Zhouchao Wei, Shanwen Zhang (2017)
Kybernetika
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Periodic parametric perturbation control and dynamics at infinity for a 3D autonomous quadratic chaotic system are studied in this paper. Using the Melnikov's method, the existence of homoclinic orbits, oscillating periodic orbits and rotating periodic orbits are discussed after transferring the 3D autonomous chaotic system to a slowly varying oscillator. Moreover, the parameter bifurcation conditions of these orbits are obtained. In order to study the global structure, the dynamics...
Continuation of relative periodic orbits in a class of triatomic hamiltonian systems
Guillaume James, Pascal Noble, Yannick Sire (2009)
Annales de l'I.H.P. Analyse non linéaire
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Limit cycles in the equation of whirling pendulum with autonomous perturbation
Hana Lichardová (1999)
Applications of Mathematics
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The two-parameter Hamiltonian system with the autonomous perturbation is considered. Via the Mel’nikov method, existence and uniqueness of a limit cycle of the system in a certain region of a two-dimensional space of parameters is proved.