The order of coexistence of homoclinic trajectories for interval maps

• Date: 2019
• Main Authors: Kuznietsov, M. V., Кузнєцов, М. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1493
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 А nonperiodic trajectory of a discrete dynamical system is called $n$-homoclinic if its $\alpha$- and $\omega$-limit sets coincide and form the same cycle of period $n.$ We prove the statement formulated in that the ordering $1 \triangleright 3 \triangleright 5 \triangleright 7 \triangle...