Li–Yorke chaos on one-dimensional map lattices

Abstract

Abstract In this paper, we consider a special, but important class of one-dimensional coupled map lattices, namely, in which the local dynamics including logistic map as a prototype possesses a snap-back repeller. For smaller coupling strengths, the existence of Li–Yorke scrambled set is proved.

Keywords

• Chaos
• Logistic map
• Snap-back repeller