Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (1): 93-97.doi: 10.13371/j.cnki.chin.q.j.m.2018.01.011

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The Proof of Structural Stability of Hyperbolic Fixed Points in Ordinary Di®erential Equations

  

  1. School of Mathematics and Statistics Henan University
  • Accepted:2017-05-29 Online:2018-03-30 Published:2020-10-19
  • About author:Wang Qi(1982-), male, native of Luoyang, Henan, associate professor of Henan University, Ph.D., engages in nonlinear functional analysisvariotianal methods; Zhang Shuo(1992-), female, native of Puyang,Henan, graduate student of Henan University, engages in nonlinear functional analysisvariotianal methods.
  • Supported by:
    Supported by NNSF of China(11301148);

Abstract: In ordinary differential equations, structural stability of hyperbolic fixed points is a classical result, but the proof of this result in [2] has same small mistake. In this paper,we will correct the above mistake by using the Hartman theorem and its idea. 

Key words: Nonlinear system, Hyperbolic fixed point, Structural stability

CLC Number: