Study on Structures and Dynamics of Nonlinear Systems
非线性系统的结构与动力学研究
基本信息
- 批准号:59460111
- 负责人:
- 金额:$ 3.46万
- 依托单位:
- 依托单位国家:日本
- 项目类别:Grant-in-Aid for General Scientific Research (B)
- 财政年份:1984
- 资助国家:日本
- 起止时间:1984 至 1986
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
With the rapid advance of VLSI and the discovery of new nonlinear phenomena such as soliton and chaos, analysis of nonlinear dynamic systems becomes very important. The purpose of this project is to clarify the fundamental properties of both the nonlinear system structure and its dynamics, and to buid the foundation of their applications to the practical problems, by means of the new mathematical methods which the present researchers have developed.This project has been accomplished over three years, and its fruitful result is establishment and mutual recomposition of the following theories :1. Theory on evaluation of the overall dependence on internal structures and parameters of nonlinear systems, by making use of the original theory of nondeterministic operators.2. Theory on numerical analysis of nonlinear systems by the original methods based on homotopy or decomposition.3. New approach for the analysis of nonlinear phenomena such as soliton and chaos. Furthermore, using the above theories, we threw light on the followings :4. Observation of a non-periodic attractor from an extremely simple circuit, and the rigorous proof of the attractor to be chaotic.5. Modelling of parallel blower and multibody systems and analysis of their dynamics.6. Analysis of the models of optical transmission and biological systems.
随着超大规模集成电路技术的飞速发展和新的非线性现象如孤子和混沌的发现,非线性动态系统的分析变得非常重要。本项目的目的是通过目前研究人员发展的新的数学方法,阐明非线性系统结构及其动力学的基本性质,并为它们在实际问题中的应用奠定基础。本课题历时三年多完成,其丰硕成果是以下理论的建立和相互重组:利用原始的不确定性算子理论,评价非线性系统对内部结构和参数的总体依赖性的理论。基于同伦或分解的原始方法的非线性系统数值分析理论。分析孤子和混沌等非线性现象的新方法。此外,运用上述理论,我们阐明了以下几点:从一个极其简单的电路中观察到一个非周期吸引子,并严格证明了该吸引子是混沌的。并联鼓风机和多体系统的建模及其动力学分析。光传输与生物系统模型分析。
项目成果
期刊论文数量(176)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Shin'ichi Oishi: Proceedings of NinthSymposium on Applied Functional Analysis-Information Theory and RelatedTopics. 42-51 (1987)
Shinichi Oishi:第九届应用泛函分析-信息论及相关主题研讨会论文集。
- DOI:
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- 影响因子:0
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- 通讯作者:
L.O.Chua: IEEE Transactions on Circuits and Systems. CAS-33. 1073-1118 (1986)
L.O.Chua:IEEE 电路与系统汇刊。
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- 影响因子:0
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T.Matsumoto: IEEE Transactions on Circuits and Systems. CAS-33. 1143-1147 (1986)
T.Matsumoto:IEEE 电路与系统汇刊。
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- 影响因子:0
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大石進一: 電子通信学会技術研究報告. OCT86-23. 67-73 (1986)
大石真一:IEICE 技术研究报告。 OCT86-23 (1986)。
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- 影响因子:0
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Kazuo HORIUCHI: "Perturbation Theory by Nondeterministic Operator Equations" Paper of Technical Group, IECE Japan. CAS85-119. 67-72 (1985)
Kazuo HORIUCHI:“基于非确定性算子方程的扰动理论”,IECE 日本技术组论文。
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- 影响因子:0
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HORIUCHI Kazuo其他文献
HORIUCHI Kazuo的其他文献
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{{ truncateString('HORIUCHI Kazuo', 18)}}的其他基金
Research of Computer aided Nonlinear Analysis with Flexibility
计算机辅助柔性非线性分析研究
- 批准号:
07455164 - 财政年份:1995
- 资助金额:
$ 3.46万 - 项目类别:
Grant-in-Aid for Scientific Research (B)
STUDY ON MODELLING OF NONLINEAR SYSTEM AND SELF-VALIDATING MUMERICAL METHOD
非线性系统建模及自验证数值方法研究
- 批准号:
04452187 - 财政年份:1992
- 资助金额:
$ 3.46万 - 项目类别:
Grant-in-Aid for General Scientific Research (B)
Studies on Modeling and Performance Analysis of Nonlinear Dynamic Systems
非线性动态系统建模与性能分析研究
- 批准号:
63460127 - 财政年份:1988
- 资助金额:
$ 3.46万 - 项目类别:
Grant-in-Aid for General Scientific Research (B)
Studies on Analysis of Generation Process of Chaos in Nonlinear Circuits and on Systematic Construction of Chaos Generation Circuits
非线性电路混沌产生过程分析及混沌产生电路系统构建研究
- 批准号:
63302032 - 财政年份:1988
- 资助金额:
$ 3.46万 - 项目类别:
Grant-in-Aid for Co-operative Research (A)
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