Abstract
In this paper n-dimensional flows (described by continuous-time system) with static bifurcations are considered with the aim of classification of different elementary bifurcations using the frequency domain formalism. Based on frequency domain approach, we prove some criterions for the saddle-node bifurcation, transcritical bifurcation and pitchfork bifurcation, and give an example to illustrate the efficiency of the result obtained.
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This work was supported by the National Natural Science Foundation of China (No. 10371136).
Li ZENG was born in Hubei, China. She is currently a Ph.D. candidate of Sun Yat-Sen University. Her research interests include dynamical systems, control systems and bifurcation control.
Yi ZHAO is currently a professor in Department of Mathematics, Sun Yat-Sen University. His research interests include dynamical systems and control systems.
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Zeng, L., Zhao, Y. Characterization of static bifurcations for n-dimensional flows in the frequency domain. J. Control Theory Appl. 4, 217–222 (2006). https://doi.org/10.1007/s11768-006-5323-9
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DOI: https://doi.org/10.1007/s11768-006-5323-9