Comment on “Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems” [Appl. Math. Comput. 218 (2012) 11859–11870]

作者：

Highlights：

• In the referenced paper Šilnikov heteroclinic and homoclinic orbits are considered.

• The undetermined coefficient method is used to prove their existence.

• The authors study them in two Lorenz-like systems, the so-called Lü and Zhou systems.

• Decisive mistakes that invalidate their analysis are pointed.

摘要

•In the referenced paper Šilnikov heteroclinic and homoclinic orbits are considered.•The undetermined coefficient method is used to prove their existence.•The authors study them in two Lorenz-like systems, the so-called Lü and Zhou systems.•Decisive mistakes that invalidate their analysis are pointed.

论文关键词：Undetermined coefficient method,Heteroclinic/Homoclinic orbit,Šilnikov criterion,Lü system,Zhou system,Chen system

论文评审过程：Available online 18 July 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.06.085