Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems
Copyright policy )Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems
We study chaotic properties of uniformly convergent nonautonomous dynamical systems. We show that, contrary to the autonomous systems on the compact interval, positivity of topological sequence entropy and occurrence of Li-Yorke chaos are not equivalent, more precisely, neither of the two possible implications is true.
10 pages, 4 figures
Topological entropy, Symbolic dynamics, Li-Yorke chaos, Topological dynamics of nonautonomous systems, Dynamical Systems (math.DS), Topological dynamics, topological dynamics, topological entropy, topological sequence entropy, FOS: Mathematics, nonautonomous dynamical system, 54H20, 37B10, 37B40, 37B55, Mathematics - Dynamical Systems
Topological entropy, Symbolic dynamics, Li-Yorke chaos, Topological dynamics of nonautonomous systems, Dynamical Systems (math.DS), Topological dynamics, topological dynamics, topological entropy, topological sequence entropy, FOS: Mathematics, nonautonomous dynamical system, 54H20, 37B10, 37B40, 37B55, Mathematics - Dynamical Systems
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!