Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a cubic Lyapunov system (Q430267)
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scientific article; zbMATH DE number 6048816
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a cubic Lyapunov system |
scientific article; zbMATH DE number 6048816 |
Statements
Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a cubic Lyapunov system (English)
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21 June 2012
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The paper centers around the center problem for nilpotent singular points and bifurcation of small limit cycles from the singularity. More precisely, a certain three-order nilpotent critical point in a cubic system is studied. The main results are the center conditions for this system and the fact that there exist perturbed systems from the original one with 7 small amplitude limit cycles.
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three-order nilpotent critical points
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center problem
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bifurcation of limit cycles
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