Chaos and equicontinuity

Scott Larson
2010 Involve. A Journal of Mathematics  
Chaos theory examines the iterates of continuous functions to draw conclusions about long-term behavior. As this relatively new theory has evolved, one difficulty still present is the absence of universally agreed upon definitions. On the other hand, function spaces and equicontinuity are well established concepts with mathematical definitions that are universally accepted. We will present some theorems that display the natural connections between chaos and equicontinuity. MSC2000: 37D45,
more » ... C2000: 37D45, 54C05, 54C35.
doi:10.2140/involve.2010.3.363 fatcat:icr23f6rcfhariescexxzfwd2y