عنوان

Dynamical systems with applications using Python /

(Number (ISBN

3319781456

(Number (ISBN

9783319781457

Erroneous ISBN

3319781448

Erroneous ISBN

9783319781440

Title Proper

Dynamical systems with applications using Python /

General Material Designation

[Book]

First Statement of Responsibility

Stephen Lynch.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Birkhäuser,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (xvi, 665 pages) :

Other Physical Details

illustrations (some color)

Text of Note

Includes bibliographical references and index.

Text of Note

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.

0

Text of Note

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.--

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783319781457

International Standard Book Number

9783319781440

Dynamics-- Mathematical models.

Python (Computer program language)

Applications of Mathematics.

Complex Systems.

Dynamical Systems and Ergodic Theory.

Mathematical and Computational Engineering.

Ordinary Differential Equations.

Statistical Physics and Dynamical Systems.

Applied mathematics.

Differential calculus & equations.

Dynamics-- Mathematical models.

Mathematics-- Applied.

Mathematics-- Differential Equations.

Mathematics-- Mathematical Analysis.

Maths for engineers.

Nonlinear science.

Python (Computer program language)

Science-- Mathematical Physics.

Science-- Physics.

Statistical physics.

Number

Edition

Class number

Lynch, Stephen,1964-

Date of Transaction

20200823113000.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y