Hamiltonian Hopf bifurcation with symmetry

被引:13
作者
Chossat, P
Ortega, JP
Ratiu, TS
机构
[1] CNRS, UNSA, UMR 129, F-06560 Valbonne, France
[2] Ecole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland
关键词
D O I
10.1007/s002050200182
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf bifurcation processes in the presence of compact symmetry groups that do not generically exist in the dissipative framework. The theoretical study is illustrated with several examples.
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页码:1 / 33
页数:33
相关论文
共 34 条
[1]  
Abraham R., 1978, Foundations of mechanics
[2]  
Abraham R., 1988, APPL MATH SCI, V75
[3]  
[Anonymous], LECT NOTES MATH
[4]  
BOTT R, 1982, GRADUATE TEXTS MATH, V82
[5]  
Bredon G E, 1972, Introduction to compact transformation groups, V46
[6]   BIFURCATION OF PERIODIC-SOLUTIONS NEAR A COLLISION OF EIGENVALUES OF OPPOSITE SIGNATURE [J].
BRIDGES, TJ .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1990, 108 :575-601
[7]  
BRIDGES TJ, 1990, ARCH RATIONAL MECH A, V106, P335
[8]  
CHOSSAT P, 1995, CR ACAD SCI I-MATH, V320, P25
[9]  
CHOSSAT P, 1999, BIFURCATION RELATIVE
[10]  
Chossat P., 2000, Adv. Ser. Nonlinear Dynam., V15