Cubic Lienard equation with quadradic damping (I) |
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| Authors: | Wang Yuquan Jing Zhujun |
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| Institution: | (1) College of Science, Nanjing Agricultural University, 210095 Nanjing, China;(2) Institute of Mathematics, the Chinese Academy of Sciences, 100080 Beijing, China |
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| Abstract: | Applying Hopf bifurcation theory and qualitative theory, we give the conditions of the existence and uniqueness of one limit cycle and the existence of two limit cycles for the general cubic Lienard equation. Numerical simulation results with one and two limit cycles are given to demonstrate the theoretical results. |
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| Keywords: | Cubic Lienard equation limit cycles stability Hopf bifurcation |
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