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...
| Autors principals: | , , |
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| Format: | Online |
| Idioma: | spa |
| Publicat: |
Universidad Pedagógica y Tecnológica de Colombia
2023
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| Matèries: | |
| Accés en línia: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15253 |
| Sumari: | 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. |
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