Handbook of Applications of Chaos Theory
暫譯: 混沌理論應用手冊
Skiadas, Christos H., Skiadas, Charilaos
- 出版商: CRC
- 出版日期: 2020-12-18
- 售價: $2,480
- 貴賓價: 9.5 折 $2,356
- 語言: 英文
- 頁數: 934
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0367737043
- ISBN-13: 9780367737047
海外代購書籍(需單獨結帳)
商品描述
In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications.
Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs.
The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincar disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.
商品描述(中文翻譯)
除了解釋和建模自然與社會中尚未探索的現象外，混沌理論利用非線性動力系統理論和已建立的混沌理論的關鍵部分，開啟新的前沿和研究領域。《混沌理論應用手冊》涵蓋了混沌理論的主要部分以及其在各個領域的多種應用。來自世界各地的專家貢獻者展示了混沌理論如何用於建模未探索的案例並激發新的應用。
本書對科學家、工程師和各個領域的實踐者均可輕鬆理解，討論了通往混沌的間歇性路徑、演化動力學和確定性混沌，以及向相位同步混沌的轉變。它呈現了關於奇異吸引子、自激和隱藏吸引子、穩定性理論、Lyapunov 指數和混沌分析的重要貢獻。它探討了等離子體物理學、等離子體諧波和高次耦合中混沌的最新進展。還描述了流動和湍流、混沌干擾與去相干之間的關係，以及微波網絡在量子圖模擬中的應用。
本書接著詳細介紹了混沌、流氓和噪聲光學耗散孤子；類似於平行圓的圓形和混沌光散射；以及有趣的雙曲棱鏡、Poincaré 圓盤和泡沫的形式。它還涵蓋了許多應用領域，從血壓數據和臨床數位病理學的分析，到混沌模式識別、經濟學、音樂藝術和研究。
作者簡介
Christos H. Skiadas, PhD, was the founder and director of the Data Analysis and Forecasting Laboratory at the Technical University of Crete. He is chair of the Chaotic Modeling and Simulation Conference series. He has published more than 80 papers, three monographs, and 12 books, including Chaotic Modeling and Simulation: Analysis of Chaotic Models, Attractors and Forms (Chapman & Hall/CRC, October 2008). His research interests include innovation diffusion modeling and forecasting, life table data modeling, healthy life expectancy estimates, and deterministic, stochastic, and chaotic modeling.
Charilaos Skiadas, PhD, is an associate professor in mathematics and computer science at Hanover College. He is the coauthor of Chaotic Modeling and Simulation: Analysis of Chaotic Models, Attractors and Forms (Chapman & Hall/CRC, October 2008). His research interests encompass a wide array of mathematical and computing topics, ranging from algebraic geometry to statistics and programming languages to data science.
作者簡介(中文翻譯)
Christos H. Skiadas，博士，是克里特技術大學數據分析與預測實驗室的創始人和主任。他是混沌建模與模擬會議系列的主席。他已發表超過80篇論文、三本專著和12本書籍，包括混沌建模與模擬：混沌模型、吸引子和形式的分析（Chapman & Hall/CRC，2008年10月）。他的研究興趣包括創新擴散建模與預測、生命表數據建模、健康壽命預估，以及確定性、隨機性和混沌建模。
Charilaos Skiadas，博士，是漢諾威學院數學與計算機科學的副教授。他是混沌建模與模擬：混沌模型、吸引子和形式的分析（Chapman & Hall/CRC，2008年10月）的共同作者。他的研究興趣涵蓋廣泛的數學和計算主題，從代數幾何到統計學，從程式語言到數據科學。
