| 书目名称 | Nonlinear Dynamics and Chaotic Phenomena: An Introduction |
| 编辑 | Bhimsen K. Shivamoggi |
| 视频video | |
| 概述 | Second edition of a book that has stood its ground and proved its worth over the years.Strong middle ground between elementary undergraduate texts on the one hand and advance level monographs on the o |
| 丛书名称 | Fluid Mechanics and Its Applications |
| 图书封面 |  |
| 描述 | .This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics -- integrable systems, Poincaré maps, chaos, fractals and strange attractors. The Baker’s transformation, the logistic map and Lorenz system are discussed in detail in view of their central place in the subject. There is a detailed discussion of solitons centered around the Korteweg-deVries equation in view of its central place in integrable systems. Then, there is a discussion of the Painlevé property of nonlinear differential equations which seems to provide a test of integrability. Finally, there is a detailed discussion of the application of fractals and multi-fractals to fully-developed turbulence -- a problem whose understanding has been considerably enriched by the application of the concepts and methods of modern nonlinear dynamics. On the application side, there is a special emphasis on some aspects of fluid dynamics and plasma physics reflecting the author’s involvement in these areas of physics. A few exercises have been provided that range from sim |
| 出版日期 | Book 2014Latest edition |
| 关键词 | chaos; nonlinear dynamics |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-94-007-7094-2 |
| isbn_softcover | 978-94-017-7711-7 |
| isbn_ebook | 978-94-007-7094-2Series ISSN 0926-5112 Series E-ISSN 2215-0056 |
| issn_series | 0926-5112 |
| copyright | Springer Science+Business Media Dordrecht 2014 |
发表于 2025-3-21 19:31:10
