Keywords: first order differential equation; delta-symmetric solution; periodic doubling bifurcations; symmetry-breaking bifurcations
@article{10_21136_AM_1986_104182,
author = {Kl{\'\i}\v{c}, Alois},
title = {Bifurcations of the periodic solutions in symmetric systems},
journal = {Applications of Mathematics},
pages = {27--40},
year = {1986},
volume = {31},
number = {1},
doi = {10.21136/AM.1986.104182},
mrnumber = {0836800},
zbl = {0596.34024},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104182/}
}
TY - JOUR AU - Klíč, Alois TI - Bifurcations of the periodic solutions in symmetric systems JO - Applications of Mathematics PY - 1986 SP - 27 EP - 40 VL - 31 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104182/ DO - 10.21136/AM.1986.104182 LA - en ID - 10_21136_AM_1986_104182 ER -
Klíč, Alois. Bifurcations of the periodic solutions in symmetric systems. Applications of Mathematics, Tome 31 (1986) no. 1, pp. 27-40. doi: 10.21136/AM.1986.104182
[1] V. I. Arnold: Geometrical Methods in the Theory of Ordinary Differential Equations. Springer-Verlag: New York, Heidelberg, Berlin, 1982. (Russian original, Moscow, 1978.)
[2] W. M. Boothby: An Introduction to Difterentiable Manifolds and Riemannian Geometry. New York, Academic Press, 1975. | MR
[3] A. Klíč: Period doubling bifurcations in a two-box model of the Brusselator. Aplikace matematiky 5, sv. 28, 1983, 335-343. | MR
[4] J. W. Swift K. Wiesenfeld: Suppression of Period Doubling in Symmetric Systems. (unpublished).
[5] J. W. Swift K. Wiesenfeld: Suppression of Period Doubling in Symmetric Systems. Physical Review Letters, Vol. 52, No 9, 1984, 705-708. | DOI | MR
[6] M. Field: Equivariant dynamical systems. Bull. AMS 76, 1970, 1314-1318. | DOI | MR | Zbl
[7] J. E. Marsden M. McCrocken: The Hopf Bifurcation and Its Applications. New York, Springer-Verlag, 1976. | MR
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