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Stability in the double resonance problem

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Abstract

The stability of the equilibrium points and the behavior near the equilibrium points of an Ideal Double Resonance Problem are studied. In the case where the characteristic roots are purely imaginary and such that the stability cannot be decided with linear terms, the nonlinear terms are considered and some theorems of Arnold and of Khazin are used.

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Authors and Affiliations

  1. Dept. of Mathematics, Guaratinguetá, Universidade Estadual Paulista (UNESP), São Paulo, Brazil

    M. H. C. F. Lacaz

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  1. M. H. C. F. Lacaz
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Lacaz, M.H.C.F. Stability in the double resonance problem. Celestial Mechanics 35, 9–17 (1985). https://doi.org/10.1007/BF01229110

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  • DOI: https://doi.org/10.1007/BF01229110

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