Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628421 | Applied Mathematics and Computation | 2014 | 11 Pages |
Abstract
We investigate the double Hopf bifurcation at positive equilibrium point of a class-B laser system. Firstly, we give the critical values of Hopf and double Hopf bifurcations. Secondly, we implement the normal form method and the center manifold theory for a class-B laser system, and derive the universal unfolding of the double Hopf bifurcation. Thirdly, some dynamic behaviors, such as periodic and quasi-periodic solutions, are observed using numerical simulation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yanqiu Li,