Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system (Q2042190)
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 bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system |
scientific article; zbMATH DE number 7375696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system |
scientific article; zbMATH DE number 7375696 |
Statements
Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system (English)
0 references
28 July 2021
0 references
In this paper, necessary and sufficient conditions for the existence of two or one limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional Lypschizian differential systems are provided. The authors prove that these limit cycles persist when the differential system has no equilibria. Additionally, they provide an estimation of the size of the bifurcating small limit cycles and characterize their kind of stability or instability.
0 references
continuous differential system
0 references
periodic orbit
0 references
limit cycle
0 references
averaging theory
0 references
zero-Hopf bifurcation
0 references
zero-Hopf equilibrium
0 references
0 references
