The spectral sequences and parametric normal forms

Details The spectral sequences and parametric normal forms The spectral sequences and parametric normal forms

2011-03-20

arxiv.org/abs/1103.3891v1

J. Differential Equations 2012, Vol 252, pages 1003-1031

Mathematics

Dynamical Systems

Scientific paper

We generalize recent developments on normal forms and the spectral sequences method to make a foundation for parametric normal forms. We further introduce a new style and costyle to obtain unique parametric normal forms. The results are applied to systems of generalized Hopf singularity with multiple parameters. A different (new) version of this paper has been submitted for a possible publication in a refereed journal.

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