Malmquist-type theorems for cubic Hamiltonians (Q2023858)
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scientific article; zbMATH DE number 7342664
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Malmquist-type theorems for cubic Hamiltonians |
scientific article; zbMATH DE number 7342664 |
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Malmquist-type theorems for cubic Hamiltonians (English)
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3 May 2021
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The author proves Malmquist-type theorems for two-dimensional Hamiltonian systems with an Hamiltonian of the type \[ H(x,y,z)=\sum_{i+j\leq 3}a_{i,j}(z)x^iy^j \] over the field of algebraic functions. More precisely, it is proved that the corresponding Hamiltonian system has at least one transcendental algebroid solution.
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Hamiltonian system
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Painlevé differential equation
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Painlevé property
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Malmquist property
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algebroid function
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