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Impulsive Homoclinic Chaos in Van der Pol Jerk System
  • ISSN号：1006-4982
  • 期刊名称：《天津大学学报：英文版》
  • 时间：0
  • 分类：O415.5[理学—理论物理;理学—物理]
  • 作者机构：[1]School of Mechanical Engineering Tianjin University School of Sciences Tianjin University of Science and Technology
  • 相关基金：Supported by National Natural Science Foundation of China(No. 10872141);; Doctoral Foundation of Ministry of Education of China(No. 20060056005);; Natural Science Foundation of Tianjin University of Science and Technology (No. 20070210)
作者： 丁玉梅[1], 张琪昌[1]
关键词： 混乱系统, homoclinic, 轨道, Silnikov, 定理, chaotic system, homoclinic orbit, Silnikov theorem
中文摘要：

A 3D continuous autonomous chaotic system is reported, which contains a cubic term and six system parameters. Basic dynamic properties of the new Van der Pol Jerk system are studied by means of theoretical analysis and numerical simulation. Based on the Silnikov theorem, the chaotic characterisitics of the dynamic system are discussed. Using Cardano formula and series solution of differential equation, eigenvalue problem and the existence of homoclinic orbit are studied. Furthermore, a rigorous proof for th...

英文摘要：

A 3D continuous autonomous chaotic system is reported, which contains a cubic term and six system parameters. Basic dynamic properties of the new Van der Pol Jerk system are studied by means of theoretical analysis and numerical simulation. Based on the Silnikov theorem, the chaotic characterisitics of the dynamic system are discussed. Using Cardano formula and series solution of differential equation, eigenvalue problem and the existence of homoclinic orbit are studied. Furthermore, a rigorous proof for th...

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期刊信息
  • 《天津大学学报：英文版》
  • 主管单位:中华人民共和国教育部
  • 主办单位:天津大学
  • 主编：龚克
  • 地址：天津市南开区卫津路92号天津大学第19教学桉东配楼
  • 邮编：300072
  • 邮箱：trans@tju.edu.cn
  • 电话：022-27400281
  • 国际标准刊号：ISSN：1006-4982
  • 国内统一刊号：ISSN：12-1248/T
  • 邮发代号:6-128
  • 获奖情况:
  • 天津市一级期刊,被国内外十余家检索机构收录
  • 国内外数据库收录:
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  • 被引量:153