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Titlebook: Computational Methods in Bifurcation Theory and Dissipative Structures; M. Kubíček,M. Marek Book 1983 Springer Science+Business Media New

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发表于 2025-3-21 16:52:46 | 显示全部楼层 |阅读模式
书目名称Computational Methods in Bifurcation Theory and Dissipative Structures
编辑M. Kubíček,M. Marek
视频video
丛书名称Scientific Computation
图书封面Titlebook: Computational Methods in Bifurcation Theory and Dissipative Structures;  M. Kubíček,M. Marek Book 1983 Springer Science+Business Media New
描述"Dissipative structures" is a concept which has recently been used in physics to discuss the formation of structures organized in space and/or time at the expense of the energy flowing into the system from the outside. The space-time structural organization of biological systems starting from the subcellular level up to the level of ecological systems, coherent structures in laser and of elastic stability in mechanics, instability in hydro­ plasma physics, problems dynamics leading to the development of turbulence, behavior of electrical networks and chemical reactors form just a short list of problems treated in this framework. Mathematical models constructed to describe these systems are usually nonlinear, often formed by complicated systems of algebraic, ordinary differ­ ential, or partial differential equations and include a number of character­ istic parameters. In problems of theoretical interest as well as engineering practice, we are concerned with the dependence of solutions on parameters and particularly with the values of parameters where qualitatively new types of solutions, e.g., oscillatory solutions, new stationary states, and chaotic attractors, appear (bifurcate).
出版日期Book 1983
关键词Dissipative Struktur; bifurcation; differential equation; diffusion; dynamical systems; fluid mechanics; i
版次1
doihttps://doi.org/10.1007/978-3-642-85957-1
isbn_softcover978-3-642-85959-5
isbn_ebook978-3-642-85957-1Series ISSN 1434-8322 Series E-ISSN 2198-2589
issn_series 1434-8322
copyrightSpringer Science+Business Media New York 1983
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Perspectives, mainly over the past 10 years by our research group. Relations among specific procedures are schematically shown in Fig. 5.1. Every procedure is denoted by its corresponding section number (or numbers when both LPS and DPS are involved). An increasing number of papers on the numerical methods discu
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Book 1983etical interest as well as engineering practice, we are concerned with the dependence of solutions on parameters and particularly with the values of parameters where qualitatively new types of solutions, e.g., oscillatory solutions, new stationary states, and chaotic attractors, appear (bifurcate).
发表于 2025-3-22 05:30:50 | 显示全部楼层
1434-8322 alues of parameters where qualitatively new types of solutions, e.g., oscillatory solutions, new stationary states, and chaotic attractors, appear (bifurcate). 978-3-642-85959-5978-3-642-85957-1Series ISSN 1434-8322 Series E-ISSN 2198-2589
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Substances Containing C10H16...Znentify connections among the various numerical methods described here and the methods recently published. We shall also discuss the most common problems encountered in the application of particular numerical methods. The numbers of blocks in brackets in Fig. 5.1 will be used in the discussion.
发表于 2025-3-22 18:48:48 | 显示全部楼层
Perspectives,entify connections among the various numerical methods described here and the methods recently published. We shall also discuss the most common problems encountered in the application of particular numerical methods. The numbers of blocks in brackets in Fig. 5.1 will be used in the discussion.
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Introduction,tic models. The deterministic models can also give solutions with stochastic character (chaotic solutions). This work is related mainly to the study of deterministic models, but the described numerical procedures can also be used in the development of basic numerical procedures applicable to stochastic systems.
发表于 2025-3-23 06:22:31 | 显示全部楼层
https://doi.org/10.1007/978-3-642-02943-1tic models. The deterministic models can also give solutions with stochastic character (chaotic solutions). This work is related mainly to the study of deterministic models, but the described numerical procedures can also be used in the development of basic numerical procedures applicable to stochastic systems.
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