动力系统及其应用使用Python

English | PDF,EPUB | 2018 | 668 Pages | ISBN : 3319781448 | 90.04 MB

This textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, and binary oscillator computing. Dynamical Systems with Applications Using Python takes advantage of Python’s extensive visualization, simulation, and algorithmic tools to study those topics in nonlinear dynamical systems through numerical algorithms and generated diagrams. After a tutorial introduction to Python, the first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations. The second part of the book deals with discrete dynamical systems and progresses to the study of both continuous and discrete systems in contexts like chaos control and synchronization, neural networks, and binary oscillator computing. These later sections are useful reference material for undergraduate student projects. The book is rounded off with example coursework to challenge students’ programming abilities and Python-based exam questions. This book will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a range of disciplines, such as biology, chemistry, computing, economics, and physics. Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential.

这本教材提供了一个广泛的介绍连续和离散动力系统。这本书通过动手的方法，从基本理论到最近发表的非线性常微分方程、非线性光学、多重分形、神经网络和二进制振荡器计算等非线性动力系统的最新研究成果，引领读者前行。使用Python编写《Dynamical Systems with Applications Using Python》充分利用了Python广泛的可视化、仿真的算法工具来研究非线性动力系统中的那些话题通过数值算法和生成的图表。在本书的第一部分中，使用微分方程（包括常微分方程和时滞微分方程）讨论连续系统。第二部分探讨离散动力系统，并进一步研究了诸如混沌控制与同步、神经网络以及二进制振荡器计算等领域的连续和离散系统的各种情况。这些后续章节为本科生项目的参考资料。本书以示例课程来挑战学生的编程能力并提供基于Python的考试题目。这本书将吸引高级本科生和研究生、应用数学家、工程师以及生物、化学、计算机科学、经济学和物理学等多个领域内的研究人员的兴趣。由于它提供了动力系统的一个概览，对线性代数、实分析、复分析、微积分和常微分方程的知识有了解是必要的；掌握像C或Java这样的编程语言知识是有帮助的但不是必需的。

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