Three Examples in the Dynamical Systems Theory

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2022
• 1. Verfasser: Sevryuk, Mikhail B.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2022
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211820
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Three Examples in the Dynamical Systems Theory. Mikhail B. Sevryuk. SIGMA 18 (2022), 084, 13 pages

We present three explicit curious simple examples in the theory of dynamical systems. The first one is an example of two analytic diffeomorphisms , of a closed two-dimensional annulus that possess the intersection property, but their composition does not ( being just the rotation by π/2). The seco...