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Dynamical systems with applications using Python

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Dynamical systems with applications using Python/ by Stephen Lynch.
作者:	Lynch, Stephen.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xvi, 665 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Dynamics - Mathematical models. -
電子資源:	https://doi.org/10.1007/978-3-319-78145-7
ISBN:	9783319781457

Dynamical systems with applications using Python
Lynch, Stephen.

Dynamical systems with applications using Python[electronic resource] /by Stephen Lynch. - Cham :Springer International Publishing :2018. - xvi, 665 p. :ill. (some col.), digital ;24 cm.

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 -- Poincare 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.

ISBN: 9783319781457

Standard No.: 10.1007/978-3-319-78145-7doiSubjects--Topical Terms:

782340
Dynamics
--Mathematical models.

LC Class. No.: QA845 / .L963 2018

Dewey Class. No.: 515.39

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505 0 $a 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 -- Poincare 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.
520 $a 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.
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