Conformal maps, monodromy transformations, and non-reversible Hamiltonian systems (Q1588363)
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scientific article; zbMATH DE number 1539313
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformal maps, monodromy transformations, and non-reversible Hamiltonian systems |
scientific article; zbMATH DE number 1539313 |
Statements
Conformal maps, monodromy transformations, and non-reversible Hamiltonian systems (English)
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12 December 2001
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The following main result is presented: Theorem. For \(n\geq 2\), there exist non-weakly reversible Hamiltonian vector fields \[ \sum-H_{y_j} {\partial \over \partial x_j}+ H_{x_j}{\partial \over\partial y_j} \] of the form \(H(x,y)= \sum^n_{j=1} \alpha_j(x_j^2 +y^2_j) +0(3)\), for which \(\alpha_1 \alpha_2<0\), and \(\alpha_1, \dots, \alpha_n\) are non-resonant.
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Hamiltonian systems
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conformal maps
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non-reversible vector fields
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