二维映射的规范型系数的代数结构及多重Hopf分支

ALGEBRAIC STRUCTURE AND MULTIPLE HOPF BIFURCATIONS OF COEFFICIENTS IN NORMAL FORMS FOR TWO-DIMENSIONAL MAPS

引入复仿射不变量及旋转不变量概念，得到二维映射在共振与非共振情形下规范型系数的代数结构，并利用规范型讨论二维映射的多重Ｈｏｐｆ分支．

The algebraic structures of coefficients in normal forms of two-dimensional maps in resonance and non-resonance cases are obtained by introducing the invariant under complex affine transformation and the invariant under rotational transformation.The multiple Hopf bifurcations are discussed.