计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (10): 17-19.DOI: 10.3778/j.issn.1002-8331.2010.10.006

• 博士论坛 • 上一篇    下一篇

Newton-Leipnik系统的多种吸引子及其形成机制

孔令云,樊养余   

  1. 西北工业大学 电子信息学院,西安 710072
  • 收稿日期:2009-11-20 修回日期:2010-01-20 出版日期:2010-04-01 发布日期:2010-04-01
  • 通讯作者: 孔令云

Multiple attractors of Newton-Leipnik chaotic system and its conformation principle

KONG Ling-yun,FAN Yang-yu   

  1. School of Electronics and Information,Northwestern Polytechnical University,Xi’an 710072,China
  • Received:2009-11-20 Revised:2010-01-20 Online:2010-04-01 Published:2010-04-01
  • Contact: KONG Ling-yun

摘要: 研究了Newton-Leipnik混沌系统的各种动力学行为,从中发现了新的双体双核混沌吸引子,发现了混沌吸引子与小周期吸引子、大周期吸引子并存于同一相空间的各种情况,发现了趋于周期吸引子的暂态混沌运动。这些特性是由五个平衡点的属性所确定的。每个平衡点邻域的状态轨线沿某方向发散而沿某方向收敛,这导致了系统复杂的动力学行为发生。

关键词: 混沌, 混沌吸引子, 混沌机理, Newton-Leipnik系统

Abstract:

All dynamic behavior of Newton-Leipnik chaotic system is researched in this paper.New two-body-two-core chaotic attractors are found from this system.Several chaotic attractors and several periodic attractors may concur in same phase space.These characteristics depend on the attribute of five equilibria of this system.The state trajectory of system near each equilibria is constringency along some direction,or is emanative along another direction.These characteristics result in complicated dynamic behavior of the system.

Key words: chaos, chaotic attractor, mechanism of chaos, Newton-Leipnik system