Fall with weight force, air friction force (e.g. an air balloon) and buoyancy force of the balloon in air

This shows the motion of a driven 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. 

Problem of the sliding chain

A simple piston with rod length l and crank radius r.

Rotating Pendulum Z201 from System Zoo 1 p80-83

https://pt.wikipedia.org/wiki/P%C3%AAndulo / https://en.wikipedia.org/wiki/Pendulum

https://pt.wikipedia.org/wiki/Equa%C3%A7%C3%A3o_do_p%C3%AAndulo https://en.wikipedia.org/wiki/Pendulum_(mechanics)

Problem of the sliding chain

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

Problem of the sliding chain

Problem of the sliding chain

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)

Z207 from Hartmut Bossel System Zoo 1 p103-107

After running the default settings Bossel describes A=0.2, B=0.2, Initial Values X=0 Y=2 and Z=0 and varying C=2,3,4,5 shows period doubling and transition to chaotic behavior

Spring-Mass model used in IACS physics class