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Linearisation along invariant manifolds and a generalization of the Hartman-Grobman theorems for degenerated singularities of vector fields in $$\mathbb{R}^ 3$$. (English) Zbl 0825.58029

##### MSC:
 37G99 Local and nonlocal bifurcation theory for dynamical systems 58C25 Differentiable maps on manifolds 58K99 Theory of singularities and catastrophe theory