| 书目名称 | Complex Nonlinearity | | 副标题 | Chaos, Phase Transit | | 编辑 | Vladimir G. Ivancevic,Tijana T. Ivancevic | | 视频video | http://file.papertrans.cn/232/231513/231513.mp4 | | 概述 | Complete treatment of the tools of complexity.Includes a comprehensive bibliography on the subject and a detailed index.Enables the reader to perform a competitive research in modern complex nonlinear | | 丛书名称 | Understanding Complex Systems | | 图书封面 |  | | 描述 | .Complex Nonlinearity: Chaos, Phase Transitions, Topology Change and Path Integrals. is a book about prediction & control of general nonlinear and chaotic dynamics of high-dimensional complex systems of various physical and non-physical nature and their underpinning geometro-topological change. ...The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity | | 出版日期 | Book 2008 | | 关键词 | Chaos; Complex Nonlinearity; Complexity; Nonlinear system; Nonlinearity; Path Integrals; Phase Transitions | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-79357-1 | | isbn_softcover | 978-3-662-51862-5 | | isbn_ebook | 978-3-540-79357-1Series ISSN 1860-0832 Series E-ISSN 1860-0840 | | issn_series | 1860-0832 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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