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An Algorithm for Computing Quasi-Homogeneous Formal Normal Forms under Equivalence |
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| Authors: | Antonio Algaba Emilio Freire Estanislao Gamero Cristóbal García |
| Affiliation: | (1) Departamento de Matemáticas, Facultad de Ciencias Experimentales, Universidad de Huelva, Avda. de las Fuerzas Armadas s/n, 21071 Huelva, Spain;(2) Departamento de Matemática Aplicada II, Escuela Superior de Ingenieros, Universidad de Sevilla, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain |
| Abstract: | This paper presents a recursive algorithm which is useful for computing normal forms of vector fields using smooth orbital equivalence. The case of vector fields with a singularity corresponding to a triple-zero eigenvalue with geometric multiplicity one is considered in detail. The results obtained are applied to the study of a simple electronic device, with only one nonlinearity. |
| Keywords: | normal forms autonomous dynamical systems |
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