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10.6 Guide to the Literature
Krantz, S.G. and Parks, H.R. (2002), The Implicit Function Theorem, History, Theory and Applications, Birkhäuser, Boston.
Poincaré, H. (1892, 1893, 1899), Les Méthodes Nouvelles de la Mécanique Céleste, 3 vols., Gauthier-Villars, Paris.
Presler, W.H and Broucke, R. (1981a), Computerized formal solutions of dynamical systems with two degrees of freedom and an application to the Contopoulos potential. I. The exact resonance case, Comput. Math. Appl. 7, pp. 451–471.
Presler, W.H and Broucke, R. (1981b), Computerized formal solutions of dynamical systems with two degrees of freedom and an application to the Contopoulos potential. II. The near-resonance case, Comput. Math. Appl. 7, pp. 473–485.
Rand, R. H. (1994), Topics in Nonlinear Dynamics with Computer Algebra, Gordon and Breach, New York.
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Sanchez Hubert, J. and Sanchez Palencia, E. (1989), Vibration and Coupling of Continuous Systems: Asymptotic Methods, Springer-Verlag, New York.
Vainberg, B.R. and Trenogin, V.A. (1974), Theory of Branching of Solutions of Non-linear Equations, Noordhoff, Leyden (transl. of Moscow ed., 1969).
Verhulst, F. (2000), Nonlinear Differential Equations and Dynamical Systems, Universitext, Springer-Verlag, New York.
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(2005). The Continuation Method. In: Methods and Applications of Singular Perturbations. Texts in Applied Mathematics, vol 50. Springer, New York, NY. https://doi.org/10.1007/0-387-28313-7_10
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