On the number of algebraically independent Poincaré-Liapunov constants

@article{Gin2007OnTN,
  title={On the number of algebraically independent Poincar{\'e}-Liapunov constants},
  author={Jaume Gin{\'e}},
  journal={Applied Mathematics and Computation},
  year={2007},
  volume={188},
  pages={1870-1877}
}
In this paper an upper bound for the number of algebraically independent Poincaré-Liapunov constants in a certain basis for planar polynomial differential systems is given. Finally, it is conjectured that an upper bound for the number of functionally independent Poincaré-Liapunov quantities would be m + 3m− 7 where m is the degree of the polynomial differential system. Moreover, the computational problems which appear in the computation of the Poincaré-Liapunov constants and in the… CONTINUE READING
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