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A Tutorial Introduction to MATLAB and the Symbolic Math Toolbox
Linear Discrete Dynamical Systems
Nonlinear Discrete Dynamical Systems
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age class algorithm applied asymptotically bifurcation diagram bistable region box-counting chaos chaotic attractor Chapter Consider constant constructed critical point defined depicted in Figure determine differential equations discrete display dynamical systems eigenvalues eigenvectors Example fiber fixed point flow fractal dimension given in Figure graph Hamiltonian systems Hence Henon map homoclinic hyperbolic infinite number initial conditions input Jacobian matrix Julia sets Koch curve Lienard system limit cycles logistic map Lyapunov function M-file Mandelbrot set MATLAB MATLAB program multifractal neural networks neuron optical orbits oscillations output phase plane phase portrait plotted in Figure Poincare map points of period population reader saddle point second iterative method Section SFR resonator shown in Figure simple Simulink Simulink model small-amplitude limit cycles solution curves solving species stable and unstable stable focus theorem theory trajectories two-dimensional unstable manifolds unstable node vector field WWWWW zero