Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892441 | Chaos, Solitons & Fractals | 2007 | 8 Pages |
Abstract
In this paper, we analyze dynamical behaviors of the Lorenz-type system via the complementary-cluster energy-barrier criterion. Moreover the Hopf bifurcation of this system is also investigated by means of the first Lyapunov coefficient. As a consequence, it is proved that this system has three Hopf bifurcation points, at which these Hopf bifurcations are nondegenerate and supercritical.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Zhenya Yan,