SECOND-ORDER NORMAL FORMS FOR N-DIMENSIONAL SYSTEMS WITH A NILPOTENT POINT

Author:

Zhang Chunrui, ,Zheng Baodong,Yu Pei, ,

Publisher

Wilmington Scientific Publisher, LLC

Subject

General Mathematics

Reference24 articles.

1. A. Algabaa, M. C. Dom$\acute{i}$nguez-Moreno, M. Merinoa and A. J. Rodr$\acute{i}$guez-Luis, Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system, Commun Nonlinear Sci Numer Simulat, 2016, 30, 328-343.

2. R. I. Bogdanov, Versal deformations of a singular point on the plane in the case of zero eigenvalues, Funct. Anal. Appl., 1975, 9, 144-145.

3. E. A. Butcher, Normal forms for high co-dimension bifurcations of nonlinear time-periodic systems with nonsemisimple eigenvalues, Nonlinear Dynam, 2002, 30, 29-53.

4. S. A. Campbell and Y. Yuan, Zero singularities of codimension two and three in delay differential equations, Nonlinearity, 2008, 21, 2671-2691.

5. Y. Choquet-Bruhat, C. Dewitt-Morette and M. Dillard-Bleick, Analysis, Manifolds and Physics, North Holland, Amsterdam, 1977.

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