On the period function of reversible quadratic centers with their orbits inside quartics (Q732597)
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scientific article; zbMATH DE number 5612991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the period function of reversible quadratic centers with their orbits inside quartics |
scientific article; zbMATH DE number 5612991 |
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On the period function of reversible quadratic centers with their orbits inside quartics (English)
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9 October 2009
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The authors study the monotonicity of the period function for the planar real system (belonging to the class of reversible quadratic centers) of the form: \[ \dot x = y + 8(b+1)xy, \quad \dot y = -x -2(3b+1)x^2 + 6(b+1)y^2, \] where \(b \neq -1\) is a real number. In particular, they prove that such system has a period function with at most one critical point.
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monotonicity
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period function
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Abelian integrals
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Picard-Fuchs equations
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