Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4668570 | Arab Journal of Mathematical Sciences | 2014 | 22 Pages |
Abstract
The paper addresses the computation of elements of double Hopf bifurcation for retarded functional differential equations (FDEs) with parameters. We present an efficient method for computing, simultaneously, the coefficients of center manifolds and normal forms, in terms of the original FDEs, associated with the double Hopf singularity up to an arbitrary order. Finally, we apply our results to a nonlinear model with periodic delay. This shows the applicability of the methodology in the study of delay models arising in either natural or technological problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Redouane Qesmi, Mohamed Ait Babram,