An Algorithm for Computing a New Normal Form for Dynamical Systems

@article{Chen2000AnAF,
  title={An Algorithm for Computing a New Normal Form for Dynamical Systems},
  author={Guoting Chen and Jean Della Dora},
  journal={J. Symb. Comput.},
  year={2000},
  volume={29},
  pages={393-418}
}
We propose in this paper a new normal form for dynamical systems or vector fields which improves the classical normal forms in the sense that it is a further reduction of the classical normal forms. We give an algorithm for an effective computation of these normal forms. Our approach is rational in the sense that if the coefficients of the system are in a field K(which, in practice, is Q, R), so is the normal form and all computations are done inK . As a particular case, if the matrix of the… 

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