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有关混沌及其控制与同步的一些理解
  • ISSN号：1004-4523
  • 期刊名称：《振动工程学报》
  • 时间：0
  • 分类：O175.14[理学—数学;理学—基础数学] O322[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]西北工业大学工程力学系,陕西西安710072
  • 相关基金：国家自然科学基金委重点基金课题（10332030）
作者： 方同[1]
关键词： 混沌, 混沌控制, 混沌同步, 噪声诱导同步, 随机混沌, chaos, control of chaos, chaos synchronization, noise induced synchronization, stochastic chaos
中文摘要：

从实例出发，对非线性耗散系统中的混沌及其控制与同步研究中遇到的有关基本概念和问题作一些哲理性解释。内容涉及混沌的基本假设及其标志性特征、通向混沌的道路、混沌系统的相空间基本格局、混沌控制的基本策略、所谓‘混沌同步’以及‘噪声诱导同步’的实质含意、随机混沌的约定性定义、以及数值仿真在混沌研究中的作用等。对混沌及其控制与同步、以及随机混沌提出了一些独特的新见解。

英文摘要：

In this paper philosophical understanding of chaos in nonlinear dissipative systems together with its control and syn- chronization was presented. Included are topics on fundamental underlying assumptions and main characteristics of chaos, the route to chaos, the fundamental pattern of nonlinear chaotic systems in phase space, the fundamental strategy of chaos con- trol, the substance of the so-called ＇chaos synchronization＇ and ＇noise induced synchronization＇, the restricted definition of stochastic chaos, and the function of numerical simulations in studying chaos. Some new unique ideas on chaos, together with its control and synchronization, and stochastic chaos are put forward.

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期刊信息
  • 《振动工程学报》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国振动工程学会
  • 主编：刘人怀
  • 地址：南京市御道街29号
  • 邮编：210016
  • 邮箱：zdxb@nuaa.edu.cn
  • 电话：025-84895885
  • 国际标准刊号：ISSN：1004-4523
  • 国内统一刊号：ISSN：32-1349/TB
  • 邮发代号:28-249
  • 获奖情况:
  • 1995年江苏省首届期刊质评一级期刊,1997年获中国科协优秀期刊,1999年获国家自然科学基金委经费资助
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,荷兰文摘与引文数据库,美国工程索引,美国剑桥科学文摘,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,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:12831