Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems
作者：
Highlights：
• Global behavior is analyzed in a family of reversible piecewise linear systems.
• The aim is to prove the existence of certain homoclinic orbits and T-point cycles.
• A problem including these two different objects as particular cases is constructed.
• This problem leads to a common theorem of existence and local uniqueness.
• The analytical proof of this result is given.
摘要
•Global behavior is analyzed in a family of reversible piecewise linear systems.•The aim is to prove the existence of certain homoclinic orbits and T-point cycles.•A problem including these two different objects as particular cases is constructed.•This problem leads to a common theorem of existence and local uniqueness.•The analytical proof of this result is given.
论文关键词：Piecewise linear systems,Homoclinic orbits,Heteroclinic orbits
论文评审过程：Received 20 November 2015, Revised 1 July 2016, Accepted 7 October 2016, Available online 25 October 2016, Version of Record 25 October 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.10.008
