Hopf bifurcation in a prototype delayed system (Q1432974)
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: Hopf bifurcation in a prototype delayed system |
scientific article; zbMATH DE number 2077272
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hopf bifurcation in a prototype delayed system |
scientific article; zbMATH DE number 2077272 |
Statements
Hopf bifurcation in a prototype delayed system (English)
0 references
1 July 2004
0 references
The authors deal with a one-variable prototype delayed dynamical system. They show that Hopf bifurcation occurs in such a simple model. The stability and direction of the bifurcating periodic orbits are investigated by applying the normal theory and center manifold argument. Simulation results are presented, which demonstrate the correctness of the theoretical results.
0 references
periodic orbit
0 references
Hopf bifurcation
0 references
center manifold
0 references
normal form
0 references
0 references
0 references
