Oscillator with limit cycle from Z202 System Zoo 1 p84-87

System Zoo Z110: Logistic growth with stock-dependent harvest from System Zoo 1 by Hartmut Bossel

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

Z204 from System Zoo 1 p91-94

System Zoo Z104: Exponential delay from System Zoo 1 by Hartmut Bossel

System Zoo Z107: Infection dynamics from System Zoo 1 by Hartmut Bossel

System Zoo Z105: Time-dependent growth from System Zoo 1 by Hartmut Bossel

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)

System Zoo Z111: Density-dependent growth (Michaelis-Menten) from System Zoo 1 by Hartmut Bossel

System Zoo Z108: Overloading a buffer from System Zoo 1 by Hartmut Bossel

Z206 from Hartmut Bossel System Zoo 1 p99-102 See also a beautiful Youtube 3D Video Simulation

System Zoo Z107 exercise 2: Infection dynamics, exercise 2 (a part of the population is immune to infection) from System Zoo 1 by Hartmut Bossel

This is my attempt at the problem, not necessarily correct!

System Zoo Z112: Double integration and exponential decay from System Zoo 1 by Hartmut Bossel

Z212 from System Zoo 1 p142-148

​System Zoo Z412 Tourism Dynamics from Hartmut Bossel (2007) System Zoo 2 Simulation Models. Climate, Ecosystems, Resources

This models the progressive decline of the ability for self-reliance and the growing dependence on outside help. ​Z508 p39-42 System Zoo 3 by Hartmut Bossel. Strong outside help causes a collapse of self-help capacity. Weak outside help produces a stable combination of wellbeing and self-help capacity.

Z203 from System Zoo 1 p88-90

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.

Thanks to
https://insightmaker.com/insight/1830/Rossler-Chaotic-Attractor
for this example of chaos, and the transition to chaos. "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."

We're looking into environmental applications in our course, and how dramatically dynamics can change, based on a small change in parameters. Climate change "suffers" this chaotic behavior, we fear, and we're going to be "taken by surprise" when the dynamics changes on us suddenly....

Andy Long

Oscillator with limit cycle from Z202 System Zoo 1 p84-87