Work in progress. Simulating soil temperature profile.

Problem of the sliding chain

Used for pg. 75

Problem of the sliding chain

Potential energy to Velocity

Problem of the sliding chain

Problem of the sliding chain

Bipolar II treatment modeling using Van der Pol-like oscillators.

In this simulation an afflicted individual with Bipolar II disorder is put to treatment after 20 months the calibration of the medicine or treatment he recieves is such that it simulates the natural cycles of a "normal being". You can note by manipulating the parameters that sometimes too much treatment disrupts equilibria. Also note that in the state diagrams there are 2 limit cycles, the lower one being the healthiest as there are less changes.

Potential energy to Velocity

Simulation der Flugbahn eines Federballs

Problem of the sliding chain

Problem of the sliding chain

Problem of the sliding chain

Problem of the sliding chain

A Fourier series is a way to expand a periodic function in terms of sines and cosines. The Fourier series is named after Joseph Fourier, who introduced the series as he solved for a mathematical way to describe how heat transfers in a metal plate.

The GIFs above show the 8-term Fourier series approximations of the square wave and the sawtooth wave.