TY - BOOK AU - Lynch,Stephen TI - Dynamical systems with applications using MATLAB SN - 9783319068190 U1 - 515.39 23 PY - 2014/// CY - Switzerland PB - Springer KW - Differentiable dynamical systems KW - Data processing. KW - MATLAB N1 - Includes index; 1. A Tutorial Introduction to MATLAB® -- 2. Linear Discrete Dynamical Systems -- 3. Nonlinear Discrete Dynamical Systems -- 4. Complex Iterative Maps -- 5. Electromagnetic Waves and Optical Resonators -- 6. Fractals and Multifractals -- 7. The Image Processing Toolbox -- 8. Differential Equations -- 9. Planar Systems -- 10. Interacting Species -- 11. Limit Cycles -- 12. Hamiltonian Systems, Lyapunov Functions, and Stability -- 13. Bifurcation Theory -- 14. Three-Dimensional Autonomous Systems and Chaos -- 15. Poincaré Maps and Nonautonomous Systems in the Plane -- 16. Local and Global Bifurcations -- 17. The Second Part of Hilbert's Sixteenth Problem -- 18. Neural Networks -- 19. Chaos Control and Synchronization -- 20. Binary Oscillator Computing -- 21. Simulink-- 22. Examination-Type Questions -- 23. Solutions to Exercises -- Index N2 - This book provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines ER -