000			01983nam a22002295i 4500
999			_c32790 _d32790
001			19767173
010			_a 2017947473
020			_a9783319614847
040			_aUOWD
082			_a515.39 LY DY
100			_aLynch, Stephen _911513
245	0	0	_aDynamical systems with applications using mathematica _cStephen Lynch
250			_a2nd ed.
260			_aNew York, NY : _bSpringer Berlin Heidelberg, _c2017.
300			_axvi, 585 p. ; _c22 cm.
505			_aA Tutorial Introduction to Mathematica.- Differential Equations.- Planar Systems.- Interacting Species.- Limit Cycles.- Hamiltonian Systems, Lyapunov Functions, and Stability.- Bifurcation Theory.- Three-Dimensional Autonomous Systems and Chaos.- Poincare Maps and Nonautonomous Systems in the Plane.- Local and Global Bifurcations.- The Second Part of Hilbert's Sixteenth Problem.- Linear Discrete Dynamical Systems.- Nonlinear Discrete Dynamical Systems.- Complex Iterative Maps.- Electromagnetic Waves and Optical Resonators.- Fractals and Multifractals.- Chaos Control and Synchronization.- Neural Networks.- Examination-Type Questions.- Solutions to Exercises.
520			_aThis book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.
650			_aDifferential Equations _94745
650			_aElectromagnetic Waves _911514
856			_uhttps://uowd.box.com/s/tsxocw67f638sosi2wjho6dr0tt84g3j _zLocation Map
942			_2ddc _cREGULAR