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＜電子ブック＞
Dynamical Systems with Applications using Python / by Stephen Lynch

版	1st ed. 2018.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2018
大きさ	XVI, 665 p. 277 illus., 118 illus. in color : online resource
著者標目	*Lynch, Stephen author SpringerLink (Online service)
件　名	LCSH:Dynamical systems LCSH:System theory LCSH:Differential equations LCSH:Engineering mathematics LCSH:Engineering—Data processing LCSH:Mathematics LCSH:Mathematical physics FREE:Dynamical Systems FREE:Complex Systems FREE:Differential Equations FREE:Mathematical and Computational Engineering Applications FREE:Applications of Mathematics FREE:Theoretical, Mathematical and Computational Physics
一般注記	Preface -- A Tutorial Introduction to Python -- Differential Equations -- Planar Systems -- Interacting Species -- Limit Cycles -- Hamiltonian Systems, Lyapunov Functions, and Stability -- Bifurcation Theory -- Three-Dimensional Autonomous Systems and Chaos -- Poincaré Maps and Nonautonomous Systems in the Plane -- Local and Global Bifurcations -- The Second Part of Hilbert's Sixteenth Problem -- Delay Differential Equations -- Linear Discrete Dynamical Systems -- Nonlinear Discrete Dynamical Systems -- Complex Iterative Maps -- Electromagnectic Waves and Optical Resonators -- Fractals and Multifractals -- Image Processing with Python -- Chaos Control and Synchronization -- Neural Networks -- Binary Oscillator Computing -- Coursework and Examination-Type Questions -- Solutions to Exercises -- Index of Python Programs -- Index 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. HTTP:URL=https://doi.org/10.1007/978-3-319-78145-7

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