| Title:
|
Bifurcations of the periodic solutions in symmetric systems (English) |
| Author:
|
Klíč, Alois |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
27-40 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Bifurcation phenomena in systems of ordinary differential equations which are invariant with respect to involutive diffeomorphisms, are studied. Teh "symmetry-breaking" bifurcation is investigated in detail. (English) |
| Keyword:
|
first order differential equation |
| Keyword:
|
delta-symmetric solution |
| Keyword:
|
periodic doubling bifurcations |
| Keyword:
|
symmetry-breaking bifurcations |
| MSC:
|
34C25 |
| MSC:
|
58F14 |
| MSC:
|
58F22 |
| idZBL:
|
Zbl 0596.34024 |
| idMR:
|
MR0836800 |
| DOI:
|
10.21136/AM.1986.104182 |
| . |
| Date available:
|
2008-05-20T18:29:12Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104182 |
| . |
| Reference:
|
[1] V. I. Arnold: Geometrical Methods in the Theory of Ordinary Differential Equations.Springer-Verlag: New York, Heidelberg, Berlin, 1982. (Russian original, Moscow, 1978.) |
| Reference:
|
[2] W. M. Boothby: An Introduction to Difterentiable Manifolds and Riemannian Geometry.New York, Academic Press, 1975. MR 0426007 |
| Reference:
|
[3] A. Klíč: Period doubling bifurcations in a two-box model of the Brusselator.Aplikace matematiky 5, sv. 28, 1983, 335-343. MR 0712910 |
| Reference:
|
[4] J. W. Swift K. Wiesenfeld: Suppression of Period Doubling in Symmetric Systems.(unpublished). |
| Reference:
|
[5] J. W. Swift K. Wiesenfeld: Suppression of Period Doubling in Symmetric Systems.Physical Review Letters, Vol. 52, No 9, 1984, 705-708. MR 0734140, 10.1103/PhysRevLett.52.705 |
| Reference:
|
[6] M. Field: Equivariant dynamical systems.Bull. AMS 76, 1970, 1314-1318. Zbl 0205.28204, MR 0277850, 10.1090/S0002-9904-1970-12657-X |
| Reference:
|
[7] J. E. Marsden M. McCrocken: The Hopf Bifurcation and Its Applications.New York, Springer-Verlag, 1976. MR 0494309 |
| . |
