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 |  | 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 | doi | https://doi.org/10.1007/978-3-642-85957-1 | isbn_softcover | 978-3-642-85959-5 | isbn_ebook | 978-3-642-85957-1Series ISSN 1434-8322 Series E-ISSN 2198-2589 | issn_series | 1434-8322 | copyright | Springer Science+Business Media New York 1983 |
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