Dynamical systems with applications using Python /
نام عام مواد
[Book]
نام نخستين پديدآور
Stephen Lynch.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham, Switzerland :
نام ناشر، پخش کننده و غيره
Birkhäuser,
تاریخ نشرو بخش و غیره
2018.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (xvi, 665 pages) :
ساير جزييات
illustrations (some color)
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
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.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.--
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix.9783319781457
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9783319781440
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Dynamics-- Mathematical models.
موضوع مستند نشده
Python (Computer program language)
موضوع مستند نشده
Applications of Mathematics.
موضوع مستند نشده
Complex Systems.
موضوع مستند نشده
Dynamical Systems and Ergodic Theory.
موضوع مستند نشده
Mathematical and Computational Engineering.
موضوع مستند نشده
Ordinary Differential Equations.
موضوع مستند نشده
Statistical Physics and Dynamical Systems.
موضوع مستند نشده
Applied mathematics.
موضوع مستند نشده
Differential calculus & equations.
موضوع مستند نشده
Dynamics-- Mathematical models.
موضوع مستند نشده
Mathematics-- Applied.
موضوع مستند نشده
Mathematics-- Differential Equations.
موضوع مستند نشده
Mathematics-- Mathematical Analysis.
موضوع مستند نشده
Maths for engineers.
موضوع مستند نشده
Nonlinear science.
موضوع مستند نشده
Python (Computer program language)
موضوع مستند نشده
Science-- Mathematical Physics.
موضوع مستند نشده
Science-- Physics.
موضوع مستند نشده
Statistical physics.
رده بندی ديویی
شماره
515/
.
39
ويراست
23
رده بندی کنگره
شماره رده
QA845
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )