Dynamics of commuting homeomorphisms of chainable continua

• Autorzy: Christopher Mouron
• Języki publikacji: EN

Abstrakty

EN

A chainable continuum, X, and homeomorphisms, p,q: X → X, are constructed with the following properties:
(1) p ∘ q = q ∘ p,
(2) p, q have simple dynamics,
(3) p ∘ q is a positively continuum-wise fully expansive homeomorphism that has positive entropy and is chaotic in the sense of Devaney and in the sense of Li and Yorke.

Kategorie tematyczne

• 37B40: Topological entropy
• 54H20: Topological dynamics
• 37B45: Continua theory in dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 121
• Numer: 1
• Strony: 63-77

Daty

wydano

2010

Twórcy

autor

Christopher Mouron

• Department of Mathematics and Computer Science, Rhodes College, Memphis, TN 38112, U.S.A.

Identyfikatory

DOI

10.4064/cm121-1-6