000			03919cam a2200385 i 4500
001			on1023524670
003			OCoLC
005			20240315135956.0
008			180219t20182018sz a b 001 0 eng d
020			_a3319781448 _q(hardcover)
020			_a9783319781440 _q(hardcover)
020			_a9783030086244 _q(paperback)
020			_a3030086240 _q(paperback)
035			_a(OCoLC)1023524670
040			_aYDX _beng _erda _cYDX _dVCN _dOCLCO _dOCLCF _dUSD _dYDXIT _dU@M _dIAT _dS2H _dOCLCQ _dOCLCO
082	0	4	_a515.39 _bL987d
090			_asdte
100	1		_aLynch, Stephen, _d1964- _eauthor. _93780
245	1	0	_aDynamical systems with applications using Python / _cStephen Lynch.
264		1	_aCham, Switzerland : _bBirkhäuser, _c[2018]
264		4	_c©2018
300			_axvi, 665 pages : _billustrations ; _c25 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
504			_aIncludes bibliographical references and index.
505	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 -- 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.
520			_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.
650		0	_aDynamics _xMathematical models. _929526
650		0	_aPython (Computer program language) _916933
697			_923737 _aSistemas Dinâmicos, Teoria Ergódica- _x(inclusive alguns textos elementares sobre assuntos específicos)
942			_2ddc _cBK _n0
948			_hNO HOLDINGS IN P5A - 26 OTHER HOLDINGS
999			_c39683 _d39683