Perturbations of May-Leonard system (Q472544)
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scientific article; zbMATH DE number 6371148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbations of May-Leonard system |
scientific article; zbMATH DE number 6371148 |
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Perturbations of May-Leonard system (English)
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19 November 2014
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The authors study quadratic homogeneous perturbations of a three-dimensional May-Leonard system. It is shown that there are perturbed systems having exactly one or two limit cycles bifurcating from the periodic orbits of the May-Leonard system. This is proved by estimating the number of zeros of first and second order Melnikov functions.
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May-Leonard system
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Hamiltonian system
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Chebyshev system
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Melnikov function
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limit cycle
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0.8810991
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0.8699764
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0.86689925
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0.8502517
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0.8501748
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0.8470751
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0.8444824
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