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The Continuation Method

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Part of the Texts in Applied Mathematics book series (TAM, volume 50)

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10.6 Guide to the Literature

  1. 106.
    Krantz, S.G. and Parks, H.R. (2002), The Implicit Function Theorem, History, Theory and Applications, Birkhäuser, Boston.zbMATHGoogle Scholar
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    Poincaré, H. (1892, 1893, 1899), Les Méthodes Nouvelles de la Mécanique Céleste, 3 vols., Gauthier-Villars, Paris.Google Scholar
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    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.zbMATHCrossRefMathSciNetGoogle Scholar
  4. 158.
    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.zbMATHCrossRefMathSciNetGoogle Scholar
  5. 161.
    Rand, R. H. (1994), Topics in Nonlinear Dynamics with Computer Algebra, Gordon and Breach, New York.zbMATHGoogle Scholar
  6. 164.
    Roseau, M. (1966), Vibrations nonlinéaires et théorie de la stabilité, Springer-Verlag, Berlin.Google Scholar
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    Sanchez Hubert, J. and Sanchez Palencia, E. (1989), Vibration and Coupling of Continuous Systems: Asymptotic Methods, Springer-Verlag, New York.zbMATHGoogle Scholar
  8. 187.
    Vainberg, B.R. and Trenogin, V.A. (1974), Theory of Branching of Solutions of Non-linear Equations, Noordhoff, Leyden (transl. of Moscow ed., 1969).zbMATHGoogle Scholar
  9. 212.
    Verhulst, F. (2000), Nonlinear Differential Equations and Dynamical Systems, Universitext, Springer-Verlag, New York.Google Scholar

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