Sur le calcul de la partie principale d'un tore de bifurcation pour un système différentiel périodique

M. Defilippi

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1981)

  • Volume: 15, Issue: 1, page 27-39
  • ISSN: 0764-583X

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Defilippi, M.. "Sur le calcul de la partie principale d'un tore de bifurcation pour un système différentiel périodique." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 15.1 (1981): 27-39. <http://eudml.org/doc/193368>.

@article{Defilippi1981,
author = {Defilippi, M.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {bifurcating solutions; invariant torus; analytical methods},
language = {fre},
number = {1},
pages = {27-39},
publisher = {Dunod},
title = {Sur le calcul de la partie principale d'un tore de bifurcation pour un système différentiel périodique},
url = {http://eudml.org/doc/193368},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Defilippi, M.
TI - Sur le calcul de la partie principale d'un tore de bifurcation pour un système différentiel périodique
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1981
PB - Dunod
VL - 15
IS - 1
SP - 27
EP - 39
LA - fre
KW - bifurcating solutions; invariant torus; analytical methods
UR - http://eudml.org/doc/193368
ER -

References

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  1. 1. R. Bouc, M. DEFILIPPI, G. Iooss, On a problem of forced nonlinear oscillation. Numerical example of bifurcation into an invariant torus. Nonlinear Analysis, Theory,Methods and Applications, 2, n° 2, 211-224 (1978). Zbl0411.34022MR512284
  2. 2. M. DEFILIPPI, Quelques aspects des oscillations sous-harmoniques et irregulieres de deux circuits couplés non linéaires. Thèse de Doctorat d'État, Marseille (1974). 
  3. 3. J. K. HALE, Ordinary differential équations. Wiley Interscience (1969). Zbl0186.40901MR419901
  4. 4. G. Iooss, D. D. JOSEPH, Elementary stability and bifurcation theory. Chap. X (à paraître). Zbl0443.34001
  5. 5. D. D. JOSEPH, Remarks about bifurcation and stability of quasiperiodic solutionswhich bifurcate from periodic solutions of the Navier-Stokes équations. SpringerLecture Notes in Mathematics, n° 322 (1973). Zbl0268.35009
  6. 6. T. KATO, Perturbation theory for linear operators. Springer-Verlag (1976). Zbl0342.47009MR407617
  7. 7. L. PUST, Vibrations of nonlinear undampted two-degree of freedom system. Nakladatelstin Cekoslovenske akademieved (1959). Zbl0084.39901
  8. 8. M. URABE, GalerkwL s procedure for nonlinear periodic System. . Arch. Ration. Mech.Analysis, 20, 120 (1965). Zbl0133.35502MR182771

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