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Title: Period doubling bifurcations in a two-box model of the Brusselator (English)
Author: Klíč, Alois
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 28
Issue: 5
Year: 1983
Pages: 335-343
Summary lang: English
Summary lang: Czech
Category: math
Summary: Two theorems about period doubling bifurcations are proved. A special case, where one multiplier of the homogeneous solution is equal to +1 is discussed in the Appendix. (English)
Keyword: invariant vector field
Keyword: Poincaré mapping
Keyword: rotation number
Keyword: period doubling bifurcation
MSC: 34C05
MSC: 34C25
MSC: 37G99
MSC: 37N99
MSC: 58F22
MSC: 92A15
idZBL: Zbl 0531.34030
idMR: MR0712910
DOI: 10.21136/AM.1983.104045
Date available: 2008-05-20T18:23:02Z
Last updated: 2020-07-28
Stable URL:
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Reference: [9] I. Schreiber M. Marek: Transition to chaos via two-torus in coupled reaction-diffusion cells.Physics Letters, Vol. 91, No. 6, 1982, p. 263. MR 0675223, 10.1016/0375-9601(82)90566-7
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