Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system (Q654351)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system |
scientific article; zbMATH DE number 5992375
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system |
scientific article; zbMATH DE number 5992375 |
Statements
Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system (English)
0 references
28 December 2011
0 references
Center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of septic polynomial differential systems are investigated. By means of the computer algebra system MATHEMATICA, the first 13 quasi-Lyapunov constants are deduced. Necessary and sufficient center conditions are obtained. It is proved that there exist 13 small amplitude limit cycles bifurcating from the third-order nilpotent critical point.
0 references
three-order nilpotent critical point
0 references
center-focus problem
0 references
bifurcation of limit cycles
0 references
quasi-Lyapunov constant
0 references
0 references
0 references
0 references
