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脉冲作用下Chen系统的非光滑分岔分析
  • ISSN号：1000-3290
  • 期刊名称：物理学报
  • 时间：2012
  • 页码：080505:1-8
  • 分类：O221.2[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]盐城师范学院数学科学学院,盐城224002, [2]江苏大学土木工程与力学学院,镇江212013
  • 相关基金：国家自然科学基金（批准号：11171290,10972091,20976075,10872080）、江苏省自然科学基金（批准号：BK2010292,BK2010293）、江苏省高等学校自然科学基金（批准号：09KJB510018,10KJB510026）和江苏大学高级人才基金（批准号：10JDGl44）资助的课题.
  • 相关项目：图谱理论及其在多智能体系统中的应用
作者： 姜海波|张丽萍|陈章耀|毕勤胜|
关键词： Chen系统, 脉冲, 非光滑分岔, 混沌, Chen system, impulse, non-smooth bifurcation, chaos
中文摘要：

研究了脉冲作用下Chen系统的复杂动力学行为．对脉冲作用下的Chen系统进行了非光滑分岔分析．该系统可经级联倍周期分岔到达混沌，也可由周期解经鞍结分岔直接到达混沌．最后通过Floquet理论揭示了该系统周期解的非光滑分岔机理．

英文摘要：

The complex dynamics of Chen system via impulsive force is investigated in this paper. The non-smooth bifurcation of Chen system via impulsive force is analyzed. The system can evolve to chaos by the cascading of period-doubling bifurcations. Besides, the system can evolve to chaos immediately by saddle-node bifurcations from period solutions. Finally, the Floquet theory is used to explore the non-smooth bifurcation mechanism for the periodic solutions.

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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 被引量:49876