A new cubic system having eleven limit cycles (Q1779046)
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scientific article; zbMATH DE number 2177456
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new cubic system having eleven limit cycles |
scientific article; zbMATH DE number 2177456 |
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A new cubic system having eleven limit cycles (English)
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21 June 2005
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The paper is devoted to study of a homoclinic loop bifurcation in a cubic Hamiltonian system under a cubic perturbation which is central symmetric with respect to the origin. By using stability analysis and bifurcation methods, the authors prove that such system can have 11 limit cycles with two different distributions [see also \textit{T. Zhang, H. Zang, M. Han}, Chaos Solitons Fractals 20, No. 3, 629--638 (2004; Zbl 1048.34069)].
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cubic system
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limit cycle
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16th Hilbert's problem
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stability
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saddle connection
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homoclinic loop
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