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Versal deformations of infinitesimally symplectic transformations with antisymplectic involutions

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Singularity Theory and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1463))

Abstract

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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Authors

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Mark Roberts Ian Stewart

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© 1991 Springer-Verlag

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Wan, YH. (1991). Versal deformations of infinitesimally symplectic transformations with antisymplectic involutions. In: Roberts, M., Stewart, I. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085438

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  • DOI: https://doi.org/10.1007/BFb0085438

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53736-6

  • Online ISBN: 978-3-540-47047-2

  • eBook Packages: Springer Book Archive

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