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Viser: Dynamical Systems with Applications Using Python
Dynamical Systems with Applications using Python Vital Source e-bog
Detaljer Om Varen
- Vital Source E-book
- Udgiver: Springer Nature (Oktober 2018)
- ISBN: 9783319781457
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Detaljer Om Varen
- Udgiver: Birkhäuser Boston (Oktober 2018)
- ISBN: 9783319781440
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.
- 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. - Poincar? 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. -