We consider a class of three-dimensional maps T having the property that their third iterate has separate components. We show that the cycles of T can be obtained by those of a one-dimensional map (one of the components of T 3) and we give a complete classification of such cycles. The local bifurcations of the cycles of T are studied as well, showing that they are of co-dimension 3, since at the bifurcation value three eigenvalues simultaneously cross the unit circle. To illustrate the obtained results we consider as an example a delayed logistic map.
|Titolo della pubblicazione ospite||Global Analysis of Dynamic Models in Economics and Finance. Essays in Honour of Laura Gardini|
|Editor||G.I. Bischi, C. Chiarella, I. Sushko|
|Numero di pagine||31|
|Stato di pubblicazione||Pubblicato - 2012|
- 3D maps
- Delayed logistic map
- Local bifurcations