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Another note on focus-focus singularities
Zung, Nguyen Tien
HAL, hal-00007747 / Harvested from HAL
We show a natural relation between the monodromy formula for focus-focus singularities of integrable Hamiltonian systems and a formula of Duistermaat-Heckman, and extend the main results of our previous note on focus-focus singularities ($\\bbS^1$-action, monodromy, and topological classification) to the degenerate case. We also consider the non-Hamiltonian case, local normal forms, etc.
Publié le : 2002-07-05
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{hal-00007747,
     author = {Zung, Nguyen Tien},
     title = {Another note on focus-focus singularities},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00007747}
}
Zung, Nguyen Tien. Another note on focus-focus singularities. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00007747/