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时滞车辆跟驰模型及其分岔现象
  • ISSN号：1000-0992
  • 期刊名称：力学进展
  • 时间：2013.1.25
  • 页码：29-38
  • 分类：O175.1[理学—数学;理学—基础数学] TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]School of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, China
  • 相关基金：This work was supported by the National Natural Science Foundation of China （11102078 and 11032009） and Foundation of Jiangxi Education Committee of China （aJJ1169）.
  • 相关项目：时滞耦合系统的非线性动力学
作者： 徐鉴|徐荣改|
关键词： LIéNARD型方程, 时间延迟, 慢变量, 奇异摄动方法, 时滞效应, 数值结果, 稳定性, 交换机, Lienard type equation, time-delay, stability switch, singular perturbation
中文摘要：

Time-delay efects on the dynamics of Li′enard type equation with one fast variable and one slow variable are investigated in the present paper.By using the methods of stability switch and geometric singular perturbation,time-delay-induced complex oscillations and bursting are investigated,and in several case studies,the mechanism of the generation of the complex oscillations and bursting is illuminated.Numerical results demonstrate the validity of the theoretical results.

英文摘要：

Time-delay effects on the dynamics of Li~nard type equation with one fast variable and one slow variable are investigated in the present paper. By using the methods of stability switch and geometric singular perturbation, time-delay-induced complex oscillations and bursting are investigated, and in several case studies, the mechanism of the generation of the complex oscillations and bursting is illuminated. Numerical results demonstrate the validity of the theoretical results.

同期刊论文项目
时滞耦合系统的非线性动力学
期刊论文 111 会议论文 4 获奖 2
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期刊信息
  • 《力学进展》
  • 北大核心期刊（2014版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院力学研究所 中国力学学会
  • 主编：樊菁
  • 地址：北京市海淀区北四环西路15号
  • 邮编：100190
  • 邮箱：lxjz@cstam.org.cn
  • 电话：010-62637035
  • 国际标准刊号：ISSN：1000-0992
  • 国内统一刊号：ISSN：11-1774/O3
  • 邮发代号:82-331
  • 获奖情况:
  • 1996、2000年分别获中科院优秀期刊三等、二等奖,1998年列入数理力学类的第三名,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 德国数学文摘,荷兰文摘与引文数据库,美国工程索引,日本日本科学技术振兴机构数据库,美国应用力学评论,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:13273