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Hopf Bifurcation of the Generalized Lorenz Canonical Form |
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| Authors: | Tiecheng Li Guanrong Chen Yun Tang Lijun Yang |
| Institution: | (1) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China;(2) Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China |
| Abstract: | Hopf bifurcation of a unified chaotic system – the generalized Lorenz canonical form (GLCF) – is investigated. Based on rigorous mathematical analysis and symbolic computations, some conditions for stability and direction of the periodic obits from the Hopf bifurcation are derived. |
| Keywords: | Chaos Lorenz system Canonical form Hopf bifurcation |
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