Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 378761, 14 pages
doi:10.1155/2009/378761

Constructing multi-branches complete chaotic maps that preserve specified invariant density

Abstract

A general formulation for multi-branches complete chaotic maps that preserve a specified invariant density is provided and an implication relationship among this class of maps is revealed. Such relationship helps to derive a whole family of complete chaotic maps that preserve not only the same invariant measure but also the same degree of chaos in terms of Lyapunov component.