Versal deformations of infinitesimally symplectic transformations with antisymplectic involutions

  • Yieh-Hei Wan
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1463)


Normal forms for versal unfoldings of linear Hamiltonian systems anti-commute with an anti-symplectic involution are given in this paper. They can be derived from suitable chosen versal unfoldings of linear Hamiltonians without an involution. The results are expressed in an alternative basis and in a symplectic basis compatible with this involution. Descriptions of unfoldings of codimension ≤ 2 are given for an illustration.


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© Springer-Verlag 1991

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  • Yieh-Hei Wan

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