Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Aulbach, Bernd; Flockerzi, Dietrich; Knobloch, Hans-Wilhelm. Invariant manifolds and the concept of asymptotic phase. Časopis pro pěstování matematiky, Tome 111 (1986) no. 2, pp. 156-176. doi: 10.21136/CPM.1986.118274
@article{10_21136_CPM_1986_118274,
author = {Aulbach, Bernd and Flockerzi, Dietrich and Knobloch, Hans-Wilhelm},
title = {Invariant manifolds and the concept of asymptotic phase},
journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
pages = {156--176},
year = {1986},
volume = {111},
number = {2},
doi = {10.21136/CPM.1986.118274},
mrnumber = {847315},
zbl = {0621.34037},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1986.118274/}
}
TY - JOUR AU - Aulbach, Bernd AU - Flockerzi, Dietrich AU - Knobloch, Hans-Wilhelm TI - Invariant manifolds and the concept of asymptotic phase JO - Časopis pro pěstování matematiky PY - 1986 SP - 156 EP - 176 VL - 111 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1986.118274/ DO - 10.21136/CPM.1986.118274 LA - en ID - 10_21136_CPM_1986_118274 ER -
%0 Journal Article %A Aulbach, Bernd %A Flockerzi, Dietrich %A Knobloch, Hans-Wilhelm %T Invariant manifolds and the concept of asymptotic phase %J Časopis pro pěstování matematiky %D 1986 %P 156-176 %V 111 %N 2 %U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1986.118274/ %R 10.21136/CPM.1986.118274 %G en %F 10_21136_CPM_1986_118274
[1] B. Aulbach: A reduction principle for nonautonomous differential equations. Arch. Malh. 39 (1982), 217-232. | MR | Zbl
[2] E. A. Coddington, N. Levinson: Theory of ordinary differential equations. McGraw-Hill, New York 1955. | MR | Zbl
[3] J. K. Hale: Ordinary differential equations. Wiley-Interscience. New York 1969. | MR | Zbl
[4] P. Hartman: Ordinary differential equations. Wiley & Sons, New York 1964. | MR | Zbl
[5] A. Kelley: Stability of the center-stable manifold. Ј. Math. Аnal. Аppl. 18 (1967), 336-344. | MR | Zbl
[6] H. W. Knobloch, F. Kappel: Gewöhnliche Differentialgleichungen. Teubner, Stuttgart 1974. | MR | Zbl
[7] K. Palmer: Qualitative behavior of a system of ODE near an equilibrium point - А generalization of the Hartman-Grobman theorem. Preprint 372, Inst. f. Аngew. Mathem. Univ. Вonn 1980.
[8] V. A. Pliss: Principleof reduction in the theory of the stability of motion. Izv. Аkad. Nauk SSSR, Mat. Ser. 28 (1964), 1297-1324 (in Russian). | MR
[9] S. M. Graff: On the conservation of hyperbolic invariant tori for Hamiltonian systems. Јourn. Diff. Equations 15 (1974), 1-69. | MR | Zbl
Cité par Sources :