Perceptual Control Theory Model of Balancing an Inverted Pendulum. See Kennaway's slides on Robotics. as well as PCT example WIP notes. Compare with IM-1831 from Z209 from Hartmut Bossel's System Zoo 1 p112-118

THE BROKEN LINK BETWEEN SUPPLY AND DEMAND CREATES TURBULENT CHAOTIC DESTRUCTION

The existing global capitalistic growth paradigm is totally flawed

Growth in supply and productivity is a summation of variables as is demand ... when the link between them is broken by catastrophic failure in a component the creation of unpredictable chaotic turbulence puts the controls ito a situation that will never return the system to its initial conditions as it is STIC system (Lorenz)

The chaotic turbulence is the result of the concept of infinite bigness this has been the destructive influence on all empires and now shown up by Feigenbaum numbers and Dunbar numbers for neural netwoirks

See Guy Lakeman Bubble Theory for more details on keeping systems within finite working containers (villages communities)

Basic model of Newton's mechanics applied to fall with air friction (e.g. an air balloon)

Filling a tank with a pump. Tank is straight-walled (constant capacitance). Flow is laminar (linear flow relation).

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.

Le but de cette simulation est de montrer comment on peut utiliser les portes logiques hydrauliques pour implémenter une bascule T (utilisable comme diviseur de fréquence par deux, comme nous allons l'illustrer).

Flugbahn eines Federballs - Simulation und Messung (Tracker Video Analysis and Modeling Tool)

Adapted from an ithink model by Jim Rogers. See http://en.wikipedia.org/wiki/Harmonic_oscillator 

Buenos Dias, Goeden dag, Guten Tag, Muraho, Jasas, Sabadi Kap, Bonjour, Buongiourno, Good day

Electron in a Coulomb potential (H atom)

Problem of the sliding chain

This shows the motion of a damped harmonic oscillator, described in terms of the undamped natural frequency, and a frequency gamma that reflects the degree of damping, parameterized as a damping ratio gamma/natural frequency. An accurate solution requires a small time step and RK4 as the integration algorithm.