| Autor: |
Wang, Zhen, Wei, Zhouchao, Xi, Xiaojian, Li, Yongxin |
| Zdroj: |
Nonlinear Dynamics; Sep2014, Vol. 77 Issue 4, p1503-1518, 16p |
| Abstrakt: |
An invariant algebraic surface is calculated for a 3D autonomous quadratic system. Also, the dynamics near finite singularities and near infinite singularities on the invariant algebraic surface is analyzed. Furthermore, pitchfork bifurcation is analyzed using center manifold theorem and a first integral of this quadratic system for some special parameters is provided. Finally, the dynamics of this system at infinity using the Poincare compactification in $$R^3$$ is investigated and the singularly degenerate heteroclinic cycles are presented by a first integral and verified by numerical simulations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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