Mathematica 8 Notebooks for Dynamical Systems

Information about textbook, "Introduction to Dynamical Systems"

 

Part 1: Systems of Nonlinear Differential Equations
Linear Systems
Linear systems in 2 dimensions: numerical plot
Linear systems in 3 dimensions: numerical plot
Numerical Methods
Numerical solutions for scalar equation: Euler, Improved Euler, Runge-Kutta
Numerical solutions for two dimensional system of equation: Euler, Improved Euler, Runge-Kutta
One dimensional plots
Plot of one dimensional solutions
Two dimensional plots
Phase portrait for nonlinear system in the plane
Three dimensional plots
Phase portrait for Lorenz system
Part 2: Iteration of Functions
No Notebooks available