Pitchfork and Hopf bifurcations in an extended Lorenz system
An analytical classification in a three-dimensional parameter space is presented to describe the dynamics for an extended Lorenz system of the Li-Ou type, conditions are given to find supercritical and degenerate Hopf bifurcations and a pitchfork bifurcation. Finally, the theoretical results are com...
| Main Authors: | , , |
|---|---|
| 格式: | Online |
| 語言: | spa |
| 出版: |
Universidad Pedagógica y Tecnológica de Colombia
2023
|
| 主題: | |
| 在線閱讀: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15253 |
| 總結: | An analytical classification in a three-dimensional parameter space is presented to describe the dynamics for an extended Lorenz system of the Li-Ou type, conditions are given to find supercritical and degenerate Hopf bifurcations and a pitchfork bifurcation. Finally, the theoretical results are compared with numerical simulations and bifurcation diagrams. |
|---|
