Existence and stability of oscillating solutions for a class of delay differential equations (Q1940181)
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: Existence and stability of oscillating solutions for a class of delay differential equations |
scientific article; zbMATH DE number 6141798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and stability of oscillating solutions for a class of delay differential equations |
scientific article; zbMATH DE number 6141798 |
Statements
Existence and stability of oscillating solutions for a class of delay differential equations (English)
0 references
6 March 2013
0 references
The authors study a Hopf bifurcation for a general class of simple delay differential equations. They establish some sufficient conditions which guarantee the existence of the Hopf bifurcation, and the stability of arising periodic orbits is also proved. As an application, a general version of the logistic equation is given to illustrate their main results.
0 references
delay differential equations
0 references
stability analysis
0 references
Hopf bifurcation
0 references
