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CUBIC LIENARD EQUATION WITH QUADRADIC DAMPING (I) 被引量:2

CUBIC LIENARD EQUATION WITH QUADRADIC DAMPING (I)
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摘要 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. 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.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2000年第1期42-52,共11页 应用数学学报(英文版)
基金 supported by the National Natural Sciences Foundation of China.
关键词 Cubic Lienard equation limit cycles STABILITY Hopf bifurcation Cubic Lienard equation, limit cycles, stability, Hopf bifurcation
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