Chaotic Dynamics of Nonlinear Systems (Paperback)
S. Neil Rasband
- 出版商: Dover Publications
- 出版日期: 2015-08-19
- 售價: $750
- 貴賓價: 9.8 折 $735
- 語言: 英文
- 頁數: 240
- 裝訂: Paperback
- ISBN: 0486795993
- ISBN-13: 9780486795997
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商品描述
Written when the young science of chaos was gaining a foothold in the scientific community, this book introduces the field's concepts, applications, theory, and technique. Suitable for advanced undergraduates and graduate students, researchers, and teachers of mathematics, physics, and engineering, the text's major prerequisite is familiarity with differential equations and linear vector spaces.
Author S. Neil Rasband discusses the major models for the transitions to chaos exhibited by dynamic systems, introducing the "classical" topics and examples fundamental to the discipline. The most important routes to chaos are presented within a unified framework and supported by integrated problem sets. Topics include one- and two-dimensional maps, universality theory, fractal dimension, differential and conservative dynamics, and other subjects. The text is supplemented by a helpful glossary, references, and an index.
Author S. Neil Rasband discusses the major models for the transitions to chaos exhibited by dynamic systems, introducing the "classical" topics and examples fundamental to the discipline. The most important routes to chaos are presented within a unified framework and supported by integrated problem sets. Topics include one- and two-dimensional maps, universality theory, fractal dimension, differential and conservative dynamics, and other subjects. The text is supplemented by a helpful glossary, references, and an index.
商品描述(中文翻譯)
本書撰寫於混沌科學在科學界逐漸站穩腳跟之際,介紹了該領域的概念、應用、理論和技術。適合高年級本科生、研究生、研究人員以及數學、物理和工程的教師,該文本的主要前提是對微分方程和線性向量空間的熟悉。
作者 S. Neil Rasband 討論了動態系統中表現出的混沌轉變的主要模型,介紹了該學科的「經典」主題和範例。最重要的混沌路徑在一個統一的框架內呈現,並由綜合的習題集支持。主題包括一維和二維映射、普遍性理論、分形維度、微分和保守動力學以及其他主題。文本還附有有用的詞彙表、參考文獻和索引。