Dynamical systems with applications using Python - Lynch, Stephen 1964- (Cham : Birkhäuser, 2018)
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.
Includes bibliographical references and index.
Keywords: Mathematics; Dynamics -- Mathematical models; Python (Computer program language); Science -- Physics; Mathematics -- Differential Equations; Mathematics -- Applied; Science -- Mathematical Physics; Statistical physics; Differential calculus & equations; Maths for engineers; Applied mathematics; Differentiable dynamical systems; Differential Equations; Engineering mathematics; Statistical physics; Mathematics -- Mathematical Analysis; Nonlinear science; Electronic books