A new Chebyshev criterion and its application to planar differential systems (Q2101102)
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scientific article; zbMATH DE number 7623996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new Chebyshev criterion and its application to planar differential systems |
scientific article; zbMATH DE number 7623996 |
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A new Chebyshev criterion and its application to planar differential systems (English)
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28 November 2022
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In this long paper the authors propose a procedure of building extended complete Chebyshev systems (ECT-systems) consisting of finite sets of ordered functions. Such systems are often used in different areas, e.g. in the weakened Hilbert's 16th problem. A list of concrete cases is provided to illustrate applicability of authors' main results.
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Chebyshev systems
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Melnikov functions
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limit cycles
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smooth and piecewise smooth planar differential systems
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separation radials
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extended complete Chebyshev systems
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