Limit cycles and local bifurcation of critical periods in a Kukles system (Q2792137)
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: Limit cycles and local bifurcation of critical periods in a Kukles system |
scientific article; zbMATH DE number 6556977
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit cycles and local bifurcation of critical periods in a Kukles system |
scientific article; zbMATH DE number 6556977 |
Statements
16 March 2016
0 references
quintic Kukles system
0 references
center
0 references
limit cycles
0 references
weak center
0 references
critical periods
0 references
Limit cycles and local bifurcation of critical periods in a Kukles system (English)
0 references
The paper is devoted to center conditions, the bifurcation of small amplitude limit cycles and local bifurcation of critical periods for a real quintic Kukles system in a special form. The main tool of the investigation is to transform this system to the corresponding complex one. By using the computer algebra system Mathematica, the authors obtain the first eight singular point values of the origin, provide conditions for the origin to be a center and prove that the mentioned system can have eight limit cycles bifurcated from the origin. By the computations of period constants, the weak center conditions and local critical periods for the origin are derived, too.
0 references
