Symbolic Analysis of Dynamical Systems
暫譯: 動態系統的符號分析
Osipenko, George
- 出版商: Springer
- 出版日期: 2025-11-14
- 售價: $6,840
- 貴賓價: 9.8 折 $6,703
- 語言: 英文
- 頁數: 226
- 裝訂: Quality Paper - also called trade paper
- ISBN: 981950712X
- ISBN-13: 9789819507122
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相關分類:
工程數學 Engineering-mathematics
海外代購書籍(需單獨結帳)
相關主題
商品描述
This book is devoted to the study of the global properties of the dynamical systems. It gives a justification of using numerical methods for solving several problems such as localization of a chain-recurrent set of trajectories, construction of attractors and their domains of attraction, construction of filtrations, calculation of invariant measures, approximation of ergodic measures, estimation of the entropy of a dynamical system, calculation of the averaging spectrum of a function, calculation of the Morse spectrum, a test for the hyperbolicity of a dynamical system. The book is intended for researchers in dynamical systems and their applications in many scientific and technical disciplines, including engineering, physics, chemistry, biology, economics, and demography.
商品描述(中文翻譯)
本書專注於動態系統的全球性質研究。它對於使用數值方法解決多個問題提供了合理的依據，例如鏈重複軌跡集的定位、吸引子及其吸引域的構建、濾波的構建、不變測度的計算、遍歷測度的近似、動態系統熵的估算、函數的平均譜計算、莫爾斯譜的計算，以及動態系統的超曲率測試。本書旨在為動態系統及其在許多科學和技術學科中的應用（包括工程、物理、化學、生物學、經濟學和人口學）的研究人員提供參考。
作者簡介
George Osipenko is Professor in the Department of Applied Mathematics, Moscow State University, branch in Sevastopol, Russia, since 2015. Earlier, he taught at the Institute of Banking in Sevastopol, from 2010-2014. He taught at the Sevastopol Polytechnic Institute, from 2006-2009. He also taught at the St. Petersburg (Leningrad) Polytechnic Institute of Peter the Great, from 1975-2005. He completed his graduation and post-graduation in mathematics from the Faculty of Mathematics and Mechanics of the Leningrad University, Russia, respectively in 1972 and 1975. He defended his doctoral dissertation and received a professor's degree, in 1990. He is awarded the N.N. Bogolyubova award, in 2009.
作者簡介(中文翻譯)
喬治·奧西彭科自2015年起擔任俄羅斯塞瓦斯托波爾莫斯科國立大學應用數學系教授。早在2010年至2014年間，他曾在塞瓦斯托波爾銀行學院任教。2006年至2009年，他在塞瓦斯托波爾理工學院任教。此外，他還曾在1975年至2005年間於聖彼得堡（列寧格勒）彼得大帝理工學院任教。他於1972年和1975年分別在俄羅斯列寧格勒大學數學與力學系完成學士和碩士學位。他於1990年完成博士論文並獲得教授學位。2009年，他獲得N.N. 博戈柳博夫獎。
