Finding Hamiltonian isochronous centers by non-canonical transformations (Q482185)
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scientific article; zbMATH DE number 6381942
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finding Hamiltonian isochronous centers by non-canonical transformations |
scientific article; zbMATH DE number 6381942 |
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Finding Hamiltonian isochronous centers by non-canonical transformations (English)
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19 December 2014
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Consider the Hamiltonian system \[ \dot{u}=F(v), \quad \dot{v}=-G(u). \] The author gives a characterization of all Hamiltonian systems obtained from this system by means of transformations which are canonical only if linear. Conditions on \(F,G,P\) and \(Q\) are given that make the following system Hamiltonian: \[ \dot{x}=\frac{F(Q(y))}{P'(x)}, \quad \dot{y}=-\frac{G(P(x))}{Q'(y)}. \]
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Hamiltonian system
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non-canonical transformation
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isochronous center
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