28. Difference Equations

Introduction 923

28.1 Solving Difference Equations 924

28.1.1 One Linear Equation 924 RSolve

28.1.2 Two Linear Equations 929 RSolve

28.1.3 Some Techniques 931 SeriesCoefficient, ZTransform, cobwebPlot

28.1.4 Nonlinear Equations 933 RSolve

28.2 The Logistic Equation 935

28.2.1 Trajectories 935 logisticPlot

28.2.2 Bifurcation Diagrams 941 bifurcation

28.2.3 Equilibrium and Periodic Points 943

28.2.4 Lyapunov Exponents 947 lyapunovExponent

28.3 More about Discrete Systems 950

28.3.1 A Predator-Prey Model 950 predatorPreyPlot

28.3.2 Estimation of Difference Equations 954

28.3.3 Fractals and More 958 mandelbrot, LSystemPlot, CellularAutomaton, TuringMachine