| Title | BIFURCATION IN A 3D HYBRID SYSTEM |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | AKHMET, MARATU, TURAN, MEHMET |
| Secondary Title | Communications in Applied Analysis |
| Volume | 14 |
| Issue | 3 |
| Start Page | 311 |
| Pagination | 324 |
| Date Published | 08/2010 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 34A37, 34C23, 34C25, 34D20, 37G15. |
| Abstract | In this paper, we study a 3 dimensional Hybrid system which involves a switching mechanism such that at the moment of switching the differential equation that governs the model is changing. We first show that there is a center manifold and based on the results in [2] we show that the system under investigation has a Hopf bifurcation. An appropriate example is constructed to illustrate the theory.
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| URL | http://www.acadsol.eu/en/articles/14/3/3.pdf |
| Short Title | BIFURCATION IN A 3D HYBRID SYSTEM |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] E. Akalın, M. U. Akhmet, The principles of B-smooth discontinuous flows, Computers and Mathematics with applications 49 (2005), 981–995.
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