Practical normal form computations for vector fields

doi:10.1002/zamm.200310115

Practical normal form computations for vector fields

2004-04-27

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DOI：10.1002/zamm.200310115

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AbstractWe present a method to compute a Poincaré‐Dulac normal form of a vector field, as well as a corresponding reduced vector field, near a stationary point with arbitrary linearization. Explicit knowledge of the eigenvalues of the linearization is not necessary, and only rational operations are required. Some examples are presented, including a normal form computation relevant for Hopf bifurcations, and coupled nonlinear oscillators.

Practical normal form computations for vector fields

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