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Analysis method of chaos and sub-harmonic resonance of nonlinear system without small parameters
  • ISSN号：0253-4827
  • 期刊名称：《应用数学和力学：英文版》
  • 时间：0
  • 分类：O322[理学—一般力学与力学基础;理学—力学] O347.6[理学—固体力学;理学—力学]
  • 作者机构：[1]School of Astronautics, Harbin Institute of Technology, P. O. Box 137, Harbin 150001, P. R. China
  • 相关基金：Project supported by the National Natural Science Foundation of China （No. 10632040）
作者： Yan-bin LIU Yu-shu CHEN Qing-jie CAO[1]
关键词： 非线性动力系统, 分岔特性, 状态变量, 变量约束, 设置, 结构参数, 周期解, 过渡套, bifurcation, constraint, singularity theory, nonlinear dynamics, two statevariables
中文摘要：

Bifurcation of periodic solutions widely exists in nonlinear dynamical systems.In this paper, categories of bifurcations of systems with two state variables with differenttypes of constraints are discussed, where some new types of transition sets are added.Additionally, the bifurcation properties of two-dimensional systems without constraintsare compared with the ones with constraints. The results obtained in this paper can beused by engineers for the choice of the structural parameters of the systems.

英文摘要：

Bifurcation of periodic solutions widely exists in nonlinear dynamical systems. In this paper, categories of bifurcations of systems with two state variables with different types of constraints are discussed, where some new types of transition sets are added. Additionally, the bifurcation properties of two-dimensionM systems without constraints are compared with the ones with constraints. The results obtained in this paper can be used by engineers for the choice of the structural parameters of the systems.

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期刊信息
  • 《应用数学和力学：英文版》
  • 主管单位:交通部
  • 主办单位:上海大学
  • 主编：周哲玮
  • 地址：上海市宝山区上大路99号上海大学122信箱
  • 邮编：200444
  • 邮箱：amm@department.shu.edu.cn
  • 电话：021-66135219 66165601
  • 国际标准刊号：ISSN：0253-4827
  • 国内统一刊号：ISSN：31-1650/O1
  • 邮发代号:
  • 获奖情况:
  • 上海市优秀科技期刊一等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,美国应用力学评论
  • 被引量:541