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非光滑分岔的映射分析 被引量：8

Map analysis for non-smooth bifurcations
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摘要 非光滑因素在自然界和工程领域中广泛存在,应用动力系统的理论进行统一研究具有重要的意义。非光滑系统不仅可能发生光滑系统的各种常规分岔,而且还可能发生一些光滑系统所不具备的特有分岔,统称为非光滑分岔。这类分岔对系统的动力学行为具有重要影响,并提供了更多通向混沌的路径,是非光滑动力学研究的热点和难点。 For non-smmoth systems, except that general bifurcations exist as in smooth systems, special bifurcations, named non-smooth bifurcations, may also appear. These non-smooth bifurcations have important effect on system dynamic behavior, and provide even more routes to chaos. This is the hot and difficult point for non-smooth dynamics.
作者 秦志英 陆启韶
机构地区 河北科技大学机械电子工程学院 北京航空航天大学理学院
出处 《振动与冲击》 EI CSCD 北大核心 2009年第6期79-81,121,共4页 Journal of Vibration and Shock
基金 国家自然科学基金项目(10572011)
关键词 非光滑 分岔 混沌 non-smooth bifurcations chaos
分类号 O322 [理学—一般力学与力学基础] TB303 [一般工业技术—材料科学与工程]
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参考文献20

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同被引文献55

  • 1BI QinSheng Faculty of Science,Jiangsu University,Zhenjiang 212013,China.The mechanism of bursting phenomena in Belousov-Zhabotinsky(BZ) chemical reaction with multiple time scales[J].Science China(Technological Sciences),2010,53(3):748-760. 被引量：11
  • 2郭树起,杨绍普,郭京波.干摩擦阻尼系统的非粘结受迫振动分析[J].振动工程学报,2005,18(3):276-281. 被引量：8
  • 3丁旺才,谢建华.碰撞振动系统分岔与混沌的研究进展[J].力学进展,2005,35(4):513-524. 被引量：40
  • 4罗冠炜,张艳龙,谢建华.含对称刚性约束振动系统的周期运动和分岔[J].工程力学,2007,24(7):44-52. 被引量：8
  • 5曹宏瑞,牛蔺楷,何正嘉.高速主轴轴承损伤建模与振动响应仿真研究[J].振动与冲击,2012,31(增刊1):241—244.
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引证文献8

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振动与冲击
2009年 第6期

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