东北数学（英文版）
東北數學（英文版）
동북수학（영문판）
NORTHEASTERN MATHEMATICAL JOURNAL
2000年
1期
10-20
,共11页
mode interaction%bifurcation%triple zero point%O(2)-symmetry%nonlinear system
We consider a triple zero point of nonlinear equations with O(2)-symmetry, where the Jacobian has a zero eigenvalue of geometric multiplicity one and algebraic multiplicity three, We show that this triple zero point exhibits a new bifurcation phenomenon, that is, a mode interaction of the following three paths: bifurcation points from steady-states, steadystates and rotating waves to standing waves, rotating waves and modulated rotating waves respectively.
