Matlab Code

  

Figure 1 Bifurcations of equilibria in dx/dt = exp(-x2/μ) - sin(μx)/(x2+1)

 

Matlab Software for Bifurcation Analysis in Continuous and Discrete Dynamical Systems

 

ODE Solvers

Test Cases:

    1. Pendulum (test_solvers_pendulum.m, Rhs_pendulum.m, plot_pendulum.m)
    2. Double pendulum (double_pendulum.m, Rhs_double_pendulum.m)

 

Zeros of Nonlinear Equations

Test Cases:

    1. Fixed points of a 2D nonlinear dynamical system (Newton_sys_test.m, Ffun.m, Jfun.m)
    2. Basins of attraction of the fixed points in test case 1 (compute_basins.m

 

Phase portrait (2D systems)

  • Computation of the phase portrait for 2D planar systems (phase_plane.m)

 

Phase portrait (3D systems)

 

Lorenz Equations