The Art of Modeling Dynamic Systems: Forecasting for Chaos, Randomness and Determinism
The Art of Modeling Dynamic Systems: Forecasting for Chaos, Randomness and Determinism
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动态系统建模的艺术：混沌、随机性和确定性的预测
DOI：
10.1063/1.4823091
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
S. McKay
中科院分区：
文献类型：
--
作者：
F. Morrison;S. McKay
动力学与计算简史。一幅应用数学的素描。基金会和抽象实体。经典分析。数值分析和近似理论。统计方法。经典建模技术。经典模型和动力学概念。没有微积分的动力学。基本型号。循环。数学模型分析。动态系统的层次结构。一种动态系统的分类方案。静态系统--类型为零。可解系统--第一类。摄动理论--第二类。混沌系统--第三类。随机系统--第四类。建模的艺术。定性分析。定量分析。模型验证。参考--Modeler的库。索引。
A Brief History of Dynamics and Computing. A THUMBNAIL SKETCH OF APPLIED MATHEMATICS. Foundations and Abstract Entities. Classical Analysis. Numerical Analysis and Approximation Theory. Statistical Methods. Classical Modeling Techniques. CLASSICAL MODELS AND DYNAMICAL CONCEPTS. Dynamics Without Calculus. Basic Models. Cycles. Analysis of Mathematical Models. THE HIERARCHY OF DYNAMIC SYSTEMS. A Classification Scheme for Dynamic Systems. Static Systems--Type Zero. Solvable Systems--Type I. Perturbation Theory--Type II. Chaotic Systems--Type III. Stochastic Systems--Type IV. THE ART OF MODEL MAKING. Qualitative Analysis. Quantitative Analysis. Model Validation. References--The Modeler's Library. Index.