Chaotification for Partial Difference Equations via Controllers. (13th March 2014)

• Record Type: Journal Article
• Authors: Liang, Wei; Shi, Yuming; Li, Zongcheng
• Other Names: Zhou Zhan Academic Editor.
• Is Part Of: Journal of discrete mathematics. Volume 2014(2014)
• Publication Date: 2014-03-13
• Subjects: Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Periodicals; 511.1
• DOI: 10.1155/2014/538423
• Languages: English
• ISSNs: 2090-9837

Abstract

Abstract : Chaotification problems of partial difference equations are studied. Two chaotification schemes are established by utilizing the snap-back repeller theory of general discrete dynamical systems, and all the systems are proved to be chaotic in the sense of both Li-Yorke and Devaney. An example is provided to illustrate the theoretical results with computer simulations.