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Stability and Hopf bifurcation analysis for an energy resource system
Authors: Tasawar Hayat; Tasawar Hayat; Jianqiang Hu; Jianqiang Hu; Jinde Cao; Jinde Cao;
Stability and Hopf bifurcation analysis for an energy resource system
Abstract
This paper investigates the dynamical behaviors for a four-dimensional energy resource system with time delay, especially in terms of equilibria analyses and Hopf bifurcation analysis. By setting the time delay as a bifurcation parameter, it is shown that Hopf bifurcation would occur when the time delay exceeds a sequence of critical values. Furthermore, the stability and direction of the Hopf bifurcation are determined via the normal form theory and the center manifold reduction theorem. Numerical examples are given in the end of the paper to verify the theoretical results.
Related Organizations
- Quaid-i-Azam University Pakistan
- Southeast University China (People's Republic of)
- Electric Power Research Institute United States
- Southeast University China (People's Republic of)
- CHINA ELECTRIC POWER RESEARCH INSTITUTE (SEAL) SOE China (People's Republic of)

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