Dynamical Systems with Applications using Python. 1st ed. 2018

種類:

電子ブック

責任表示:

by Stephen Lynch

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2018

著者名:

• Lynch, Stephen.
• SpringerLink (Online service)

ISBN:

9783319781457 [3319781456]    

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 usef

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