squircle_ode_test

squircle_ode_test, a MATLAB code which calls squircle_ode(), which sets up a system of ordinary differential equations (ODE) for a pair of functions that generalize the sine and cosine, and whose phase portrait is a squircle (a sort of squared circle).

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and Programs:

squircle_ode, a MATLAB code which sets up a system of ordinary differential equations (ODE) for a pair of functions that generalize the sine and cosine, and whose phase portrait is a squircle (a sort of squared circle).

Source Code:

• squircle_ode_test.m, calls all the tests.
• squircle_ode_test.sh, runs all the tests.
• squircle_ode_test.txt, the output file.

• midpoint.m, solves an ODE system using the implicit midpoint method.
• squircle_midpoint.m, uses midpoint() to solve the problem.
• squircle_midpoint_plot.png, a plot of two solution components over time.
• squircle_midpoint_phase.png, a phase plot.
• squircle_midpoint_conservation.png, a plot of the energy over time.

• squircle_ode45.m, uses ode45() to solve the problem.
• squircle_ode45_plot.png, a plot of two solution components over time.
• squircle_ode45_phase.png, a phase plot.
• squircle_ode45_conservation.png, a plot of the energy over time.