| Title:
|
Invariant manifolds and the concept of asymptotic phase (English) |
| Author:
|
Aulbach, Bernd |
| Author:
|
Flockerzi, Dietrich |
| Author:
|
Knobloch, Hans-Wilhelm |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
111 |
| Issue:
|
2 |
| Year:
|
1986 |
| Pages:
|
156-176 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C45 |
| idZBL:
|
Zbl 0621.34037 |
| idMR:
|
MR847315 |
| DOI:
|
10.21136/CPM.1986.118274 |
| . |
| Date available:
|
2009-09-23T09:36:43Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118274 |
| . |
| Reference:
|
[1] B. Aulbach: A reduction principle for nonautonomous differential equations.Arch. Malh. 39 (1982), 217-232. Zbl 0521.34049, MR 0682449 |
| Reference:
|
[2] E. A. Coddington, N. Levinson: Theory of ordinary differential equations.McGraw-Hill, New York 1955. Zbl 0064.33002, MR 0069338 |
| Reference:
|
[3] J. K. Hale: Ordinary differential equations.Wiley-Interscience. New York 1969. Zbl 0186.40901, MR 0419901 |
| Reference:
|
[4] P. Hartman: Ordinary differential equations.Wiley & Sons, New York 1964. Zbl 0125.32102, MR 0171038 |
| Reference:
|
[5] A. Kelley: Stability of the center-stable manifold.Ј. Math. Аnal. Аppl. 18 (1967), 336-344. Zbl 0166.08304, MR 0210998 |
| Reference:
|
[6] H. W. Knobloch, F. Kappel: Gewöhnliche Differentialgleichungen.Teubner, Stuttgart 1974. Zbl 0283.34001, MR 0591708 |
| Reference:
|
[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. |
| Reference:
|
[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 0190449 |
| Reference:
|
[9] S. M. Graff: On the conservation of hyperbolic invariant tori for Hamiltonian systems.Јourn. Diff. Equations 15 (1974), 1-69. Zbl 0257.34048, MR 0365626 |
| . |
