Multiple Hopf bifurcation and chaotic reversing waves in problems with O(2) symmetry

被引：0
|
作者：
Amdjadi, F [1 ]
机构：
[1] Glasgow Caledonian Univ, Sch Comp & Math Sci, Glasgow G4 OBA, Lanark, Scotland
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 05期
关键词：
multiple Hopf bifurcation; traveling waves; torus bifurcation; direction reversing chaos;
D O I：
10.1142/S0218127404010199
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Multiple Hopf bifurcation in problems with O(2) symmetry leads to the standing and the traveling wave solutions. Swapping(1) the branches at this point is considered by studying an O(2) symmetric problem on C-3. The torus-doubling cascade bifurcations are investigated using canonical coordinate transformation. It is shown that direction reversing chaos can be obtained through a symmetry-increasing bifurcation.
引用
收藏
页码：1831 / 1838
页数：8
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