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Simple example of a 1D bouncing ball, where the ground is modeled as a spring. Air friction is included as a force proportional to air speed.
1D Bouncing Ball
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A PID control loop for a simple linear system
Some stochasticity in the throttle and sensor ​
2nd Order PID Loop
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Clone of Pendulum
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Wind Resistance Model
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Clone of Wind Resistance Model
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Proyecto: Bomba de Ariete
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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

Clone of Balancing an Inverted Pendulum PCT Model
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​S-Curve + Delay for Bell Curve Showing Erlang Distribution

Generation of Bell Curve from Initial Market through Delay in Pickup of Customers

This provides the beginning of an Erlang distribution model

The Erlang distribution is a two parameter family of continuous probability distributions with support . The two parameters are:

  • a positive integer 'shape' 
  • a positive real 'rate' ; sometimes the scale , the inverse of the rate is used.

Clone of S-Curve + Delay for Bell Curve by Guy Lakeman
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Clone of Bomba de golpe de Ariete 10 10 2021
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Schwingung_erzwungen_gedämpft_konst
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Clone of Pendulum
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Rocket Model including wind resistance
Clone of Rocket Model
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Z212 from System Zoo 1 p142-148

Clone of House Heating Dynamics
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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)

Clone of Clone of Clone of THE BROKEN LINK BETWEEN SUPPLY AND DEMAND CREATES CHAOTIC TURBULENCE (+controls)
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Rocket Model including wind resistance
Rocket Model
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Schwingung_gedämpft_v
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Clone of Pendulum
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Clone of Clone of Rocket Model
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Z205 from System Zoo 1 p95-98

Clone of Chaotic Bistable Oscillator
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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
Rossler Chaotic Attractor
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object is projected with an initial velocity u at an angle to the horizontal direction.

We assume that there is no air resistance .Also since the body first goes up and then comes down after reaching the highest point , we will use the Cartesian convention for signs of different physical quantities. The acceleration due to gravity 'g' will be negative as it acts downwards.

h=v_ox*t-g*t^2/2

l=v_oy*t
Launched at an Angle
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Schwingung_Feder_ideal
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Schwingung_gedämpft_v^2
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Anggota:
Saddan Syah Akbar - 20/460566/TK/51155
Sidqi Averroes - 20/460568/TK/51157

Model mengenai mass-damper-spring system pada suspenstion system kendaraan.

Pemsim - Mass-damper-spring system