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Newton-Leipnik系统的多种吸引子及其形成机制
引用本文:孔令云,樊养余.Newton-Leipnik系统的多种吸引子及其形成机制[J].计算机工程与应用,2010,46(10):17-19.
作者姓名:孔令云  樊养余
作者单位:西北工业大学电子信息学院,西安,710072
基金项目:国家自然科学基金No.60872159~~
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
收稿时间:2009-11-20
修稿时间:2010-1-20  

Multiple attractors of Newton-Leipnik chaotic system and its conformation principle
KONG Ling-yun,FAN Yang-yu School of Electronics , Information,Northwestern Polytechnical University,Xi'an ,China.Multiple attractors of Newton-Leipnik chaotic system and its conformation principle[J].Computer Engineering and Applications,2010,46(10):17-19.
Authors:KONG Ling-yun  FAN Yang-yu School of Electronics  Information  Northwestern Polytechnical University  Xi'an  China
Affiliation:KONG Ling-yun,FAN Yang-yu School of Electronics , Information,Northwestern Polytechnical University,Xi'an 710072,China
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 o...
Keywords:chaos  chaotic attractor  mechanism of chaos  Newton-Leipnik system
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