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Levi-flat invariant sets of holomorphic symplectic mappings

Xianghong Gong (2001)

Annales de l’institut Fourier

We classify four families of Levi-flat sets which are defined by quadratic polynomials and invariant under certain linear holomorphic symplectic maps. The normalization of Levi- flat real analytic sets is studied through the technique of Segre varieties. The main purpose of this paper is to apply the Levi-flat sets to the study of convergence of Birkhoff's normalization for holomorphic symplectic maps. We also establish some relationships between Levi-flat invariant sets...

Linearizability of a polynomial system

Diana Doličanin, Valery G. Romanovski (2005)

Kragujevac Journal of Mathematics

Linearization of analytic and non-analytic germs of diffeomorphisms of $(ℂ, 0)$

Timoteo Carletti, Stefano. Marmi (2000)

Bulletin de la Société Mathématique de France

Lower and upper bounds for the splitting of separatrices of a pendulum under a fast quasiperiodic forcing.

Delshams, Amadeu, Gelfreich, Vassili, Jorba, Àngel, Seara, Tere M. (1997)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Displaying 1 – 4 of 4

Levi-flat invariant sets of holomorphic symplectic mappings

Linearizability of a polynomial system

Linearization of analytic and non-analytic germs of diffeomorphisms of ( ℂ , 0 )

Lower and upper bounds for the splitting of separatrices of a pendulum under a fast quasiperiodic forcing.

Currently displaying 1 – 4 of 4

Linearization of analytic and non-analytic germs of diffeomorphisms of $(ℂ, 0)$