04170cam 2200397 i 4500001001300000003000600013005001700019008004100036020002800077020003100105020003100136020002800167035002200195040008300217082001800300090000900318100004200327245007100369264004700440264001100487300004500498336002600543337002800569338002700597504005100624505084500675520170901520650004203229650004603271697012003317942001503437948004303452999001703495952013003512952013003642on1023524670OCoLC20240315135956.0180219t20182018sz a b 001 0 eng d a3319781448q(hardcover) a9783319781440q(hardcover) a9783030086244q(paperback) a3030086240q(paperback) a(OCoLC)1023524670 aYDXbengerdacYDXdVCNdOCLCOdOCLCFdUSDdYDXITdU@MdIATdS2HdOCLCQdOCLCO04a515.39bL987d asdte1 aLynch, Stephen,d1964-eauthor.9378010aDynamical systems with applications using Python /cStephen Lynch. 1aCham, Switzerland :bBirkhčauser,c[2018] 4cĂ2018 axvi, 665 pages :billustrations ;c25 cm atextbtxt2rdacontent aunmediatedbn2rdamedia avolumebnc2rdacarrier aIncludes bibliographical references and index.0 aPreface -- 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 -- Poincarâe 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. aThis 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.--cProvided by publisher. 0aDynamicsxMathematical models.929526 0aPython (Computer program language)916933 923737aSistemas Dinăamicos, Teoria Ergâodica-x(inclusive alguns textos elementares sobre assuntos especâificos) 2ddccBKn0 hNO HOLDINGS IN P5A - 26 OTHER HOLDINGS c39683d39683 00102ddc40708BKaIMPA1bIMPA1cOPENd2023-02-02l0o515.39 L987d 2018 IMPAp39063000807963r2023-02-02t1w2023-02-02yBK 00102ddc40708BKaIMPA1bIMPA1cOPENd2023-02-02l0o515.39 L987d 2018 IMPAp39063000807964r2023-02-02t2w2023-02-02yBK