Chaos induced by regular snap-back repellers

详细信息    查看全文

• 作者：Yuming Shi ; Pei Yu
• 关键词：Chaos ; Snap-back repeller ; Coupled-expanding map
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2008
• 出版时间：15 January 2008
• 年：2008
• 卷：337
• 期：2
• 页码：1480-1494
• 全文大小：519 K

文摘

This paper is concerned with chaos induced by regular snap-back repellers. One new criterion of chaos induced by strictly coupled-expanding maps in compact sets of metric spaces is established. By employing this criterion, the nondegenerateness assumption in the Marotto theorem established in 1978 is weakened. In addition, it is proved that a regular snap-back repeller and a regular homoclinic orbit to a regular expanding fixed point in finite-dimensional spaces imply chaos in the sense of Li–Yorke. An illustrative example is provided with computer simulations.