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arXiv · 1103.3891

The spectral sequences and parametric normal forms

Majid Gazor·Pei Yu
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Abstract

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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Majid Gazor, Pei Yu. 2011-03-20. The spectral sequences and parametric normal forms. https://doi.org/10.1016/j.jde.2011.09.043

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