Journal of Hebei University(Natural Science Edition) ›› 2021, Vol. 41 ›› Issue (3): 225-230.DOI: 10.3969/j.issn.1000-1565.2021.03.001

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Bifurcation analysis and examples in the trace-determinant plane

CAO Nanbin, ZHANG Yafei, LIU Xia   

  1. School of Mathematics and Science, Hebei GEO University, Shijiazhuang 050031, China
  • Received:2021-01-11 Published:2021-05-28

Abstract: Based on the classification of planar linear systems by the trace-determinant, this paper presents illustrative examples corresponding to various bifurcations in the trace-determinant plane.

Key words: planar linear system, bifurcation, phase portrait, Liénard system, harmonic oscillator

CLC Number: