Analysis of the Takens-Bogdanov bifurcation on M-Parameterized Vector Fields
نویسندگان
چکیده
Given an m-parameterized family of n-dimensional vector fields, such that: (i) for some value of the parameters, the family has an equilibrium point, (ii) its linearization has a double zero eigenvalue and no other eigenvalue on the imaginary axis, sufficient conditions on the vector field are given such that the dynamics on the two-dimensional center manifold is locally topologically equivalent to the versal deformation of the planar Takens–Bogdanov bifurcation.
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عنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 20 شماره
صفحات -
تاریخ انتشار 2010