Uniqueness of the limit cycles for complex differential equations with two monomials (Q2084855)
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scientific article; zbMATH DE number 7601339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of the limit cycles for complex differential equations with two monomials |
scientific article; zbMATH DE number 7601339 |
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Uniqueness of the limit cycles for complex differential equations with two monomials (English)
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13 October 2022
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In this paper, the authors prove that any complex differential equation with two monomials of a special form has at most one limit cycle. For an arbitrary equation of this form, they also solve the centre-focus problem and examine the number, position, and type of its critical points proving a Berlinskii-type result regarding the geometrical distribution of the critical points.
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polynomial differential equation
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uniqueness of limit cycles
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centre-focus problem
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