The critical case of fourth-order resonance in a hamiltonian system with one degree of freedom☆
References (7)
Dynamical Systems
(1927)Libration Points in Celestial Mechanics and Space Dynamics
(1978)Theory of Stability of Motion
(1966)
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Cited by (11)
The linearization of periodic Hamiltonian systems with one degree of freedom under the Diophantine condition
2018, Journal of Differential EquationsCitation Excerpt :In the case of resonance, i.e., ω is a rational number, the above result cannot be applied directly. For this case, there also are many results, see [2], [3], [6], [7], [20], [21], [22] and the references therein. For example, Mansilla [6] obtained some sufficient conditions for stability and instability of the trivial solution by using Moser's twist theorem and Liapunov theorem, respectively.
Resonant periodic motions of Hamiltonian systems with one degree of freedom when the Hamiltonian is degenerate
2006, Journal of Applied Mathematics and MechanicsOn periodic motions of a symmetrical satellite in an orbit with small eccentricity in the case of multiple combinational resonance of the third and fourth orders
2018, Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki
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Prikl. Mat. Mekh. Vol. 61, No. 3, pp. 369–376, 1997.
Copyright © 1997 Published by Elsevier Ltd.