On the conditions of a center and general integrals of quadratic differential systems (Q5944194)
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scientific article; zbMATH DE number 1652786
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the conditions of a center and general integrals of quadratic differential systems |
scientific article; zbMATH DE number 1652786 |
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On the conditions of a center and general integrals of quadratic differential systems (English)
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13 August 2003
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Consider the differential system \((*) \;dx/dt =-y + lx^2 + mxy + ny^2, \;dy/dt = x(1+a_1 x + b_1 y).\) It is well-known that \(x=y=0\) is a center if at least one of three sets of conditions on the coefficients of \((*)\) is satisfied. The authors prove that in two of these sets of conditions \((*)\) has a first integral.
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quadratic differential system
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first integral
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center
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