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Invariant Manifolds

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Bibliography

  1. Kryloff, N., and Bogoliuboff, N.,Application of the Methods of Nonlinear Mechanics to the Theory of Stationary Oscillations, Ukranian Academy of Sciences, Kiev, 1934.

    Google Scholar 

  2. Hale, J. K., “Integral manifolds of perturbed differential systems”, Presented at the Symposium de Ecuaciones Diferenciales Ordinarias, Mexico, D. F., 1959.

  3. McCarthy, J., “The stability of invariant manifolds”, Technical Report No. 36, Applied Mathematics and Statistics Laboratory, Stanford University, 1955. (Abstract) Bull. Amer. Soc. 61 (1955) 149–150.

    Google Scholar 

  4. Levinson, N., “Small periodic perturbations of an autonomous system with a stable orbit”, Annals of Math. 52 (1950), 727–738.

    Article  MathSciNet  Google Scholar 

  5. Hufford, G., “Banach spaces and the perturbation of ordinary differential equations”, Ph. D. thesis, Princeton University, 1953;Contributions to the Theory of Nonlinear Oscillations, Vol. III, Princeton, 1956.

  6. Kyner, W. T., “A fixed point theorem”, Contributions to the Theory of Nonlinear Oscillations, Vol. III, Princeton, 1956.

  7. Kyner, W. T., “Small periodic perturbations of an autonomous system of vector equations”,Contributions to the Theory of Nonlinear Oscillations, Vol. IV, Princeton, 1958.

  8. Coddington, E. A., and Levinson, N.,Theory of Ordinary Differential Equations, New York, 1955.

  9. Diliberto, S. P., and Hufford, G., “Perturbation theorems for nonlinear ordinary differential equations”,Contributions to the Theory of Nonlinear Oscillations, Vol. III, Princeton, 1956.

  10. Diliberto, S. P., “Perturbation theory of periodic surfaces”, Circolo Matematico di Palermo, (to appear).

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  1. Los Angeles, U.S.A.

    Walter T. Kyner

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  1. Walter T. Kyner
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This work was done with the partial support of The Office of Naval Research contract number 228(09), 23 4855 1518.

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Kyner, W.T. Invariant Manifolds. Rend. Circ. Mat. Palermo 10, 98–110 (1961). https://doi.org/10.1007/BF02844811

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