Bifurcation Analysis for a Kind of Nonlinear Finance System with Delayed Feedback and Its Application to Control of Chaos
A kind of nonlinear finance system with time-delayed feedback is considered. Firstly, by employing the polynomial theorem to analyze the distribution of the roots to the associate characteristic equation, the conditions of ensuring the existence of Hopf bifurcation are given. Secondly, by using the...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/316390 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | A kind of nonlinear finance system with time-delayed feedback is considered.
Firstly, by employing the polynomial theorem to analyze the distribution
of the roots to the associate characteristic equation, the conditions
of ensuring the existence of Hopf bifurcation are given. Secondly, by using
the normal form theory and center manifold argument, we derive the explicit
formulas determining the stability, direction, and other properties of bifurcating
periodic solutions. Finally, we give several numerical simulations, which
indicate that when the delay passes through certain critical values, chaotic
oscillation is converted into a stable steady state or a stable periodic orbit. |
|---|---|
| ISSN: | 1110-757X 1687-0042 |