Invariant manifolds. I.

Jaroslav Kurzweil

Commentationes Mathematicae Universitatis Carolinae (1970)

  • Volume: 011, Issue: 2, page 309-336
  • ISSN: 0010-2628

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Kurzweil, Jaroslav. "Invariant manifolds. I.." Commentationes Mathematicae Universitatis Carolinae 011.2 (1970): 309-336. <http://eudml.org/doc/16368>.

@article{Kurzweil1970,
author = {Kurzweil, Jaroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {differential geometry},
language = {eng},
number = {2},
pages = {309-336},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Invariant manifolds. I.},
url = {http://eudml.org/doc/16368},
volume = {011},
year = {1970},
}

TY - JOUR
AU - Kurzweil, Jaroslav
TI - Invariant manifolds. I.
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1970
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 011
IS - 2
SP - 309
EP - 336
LA - eng
KW - differential geometry
UR - http://eudml.org/doc/16368
ER -

References

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  1. N. LEVINSON, Small periodic perturbations of an autonomous system with a stable orbit, Ann. of Math. 52 (1950), 727-739. (1950) Zbl0038.24903MR0037974
  2. N. N. BOGOLJUBOV, Yu. A. MITROPOLSKIJ, Asymptotic methods in the theory of nonlinear oscillations, (Russian), Moscow 1955 (rev. 1958). (1955) 
  3. W. T. KYNER, Invariant manifolds, Rend. del Circ. Mat. Palermo, Ser. II, 9 (1961), 98-110. (1961) Zbl0104.06303MR0149038
  4. J. K. HALE, Integral manifolds of perturbed differential systems, Ann. of Math. 73 (1961), 496-531. (1961) Zbl0163.32804MR0123786
  5. F. S. DILIBERTO, Perturbation theorems for periodic surfaces I, II, Rend. del Circ. Mat. Palermo, Ser. II, 9 (1961), 265-299, 10 (1962), 111-162. (1961) 
  6. I. KUPKA, Stability des variétés invariantes d'un champ de vecteurs pour les petites perturbations, C. R. Acad. Sci. Paris, 258 Groupe 1 (1964), 4197-4200. (1964) MR0162036
  7. R. J. SACKER, A perturbation theorem for invariant Riemannian manifolds, Differential equations and dynamical systems, Proceedings of an International Symposium, Academic Press 1967, pp. 43-54. (1967) Zbl0189.39801MR0218700
  8. J. KURZWEIL, Invariant manifolds for flows, Differential equations and dynamical systems, Proceedings of an Internat. Symposium, Academic Press 1967, pp. 431-468. (1967) MR0218698
  9. J. JARNÍK J. KURZWEIL, On invariant sets and invariant manifolds of differential systems, Journ. Diff. Equat. 6 (1969), 247-263. (1969) MR0249729

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