Common Modes Of Dynamic Behavior
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The document discusses common modes of dynamic behavior in systems including exponential growth, goal seeking, and oscillation. Exponential growth is characterized by constant doubling time. Goal seeking behavior diminishes in rate of change as the goal is approached. Oscillation occurs when actions to eliminate discrepancies from a goal overshoot and undershoot due to time delays. These behaviors can interact, such as s-shaped growth that initially grows exponentially and then levels off due to constraints, or may overshoot and oscillate due to delays. Other behaviors discussed include equilibrium, randomness, and chaos.
Common Modes Of Dynamic Behavior
- 1. Common Modes of Dynamic Behavior Business Dynamics by John Sterman Dennis T. Beng Hui, De La Salle University-Manila
- 2. Exponential Growth The larger the quantity, the larger the net increase. Exponential growth has the remarkable property of a constant DOUBLING TIME. Examples: population, money in a bank. Dennis T. Beng Hui, De La Salle University-Manila
- 3. Exponential Growth VAR TIME Dennis T. Beng Hui, De La Salle University-Manila
- 4. Goal Seeking The rate at which the system approaches its goal diminishes as the discrepancy falls. We do not observe a constant rate of approach that suddenly stops just as the goal is reach Dennis T. Beng Hui, De La Salle University-Manila
- 5. Goal Seeking Goal VAR TIME Dennis T. Beng Hui, De La Salle University-Manila
- 6. Oscillation It is third fundamental mode of behavior in system dynamics. The state of the system is compared to its goal, and corrective actions are taken to eliminate discrepancies. The state of the system constantly overshoots its goal or equilibrium state, reverses, then undershoots and then so on. The overshooting arises from the presence of significant La Dennis T. Beng Hui, De time delays. Salle University-Manila
- 7. Oscillation VAR Goal TIME Dennis T. Beng Hui, De La Salle University-Manila
- 8. Interactions of the Common Modes of Dynamic Behavior Dennis T. Beng Hui, De La Salle University-Manila
- 9. S-Shaped Growth Growth is observed to grow exponentially, the gradually declines. Eventually, one or more constraints halt the growth process. Dennis T. Beng Hui, De La Salle University-Manila
- 10. S-Shaped Growth Limiting Constraint VAR TIME Dennis T. Beng Hui, De La Salle University-Manila
- 11. S-Shaped Growth with Overshoot Often, systems with s-shaped growth contain significant time delays. These time delays lead to the possibility of the system to overshoot and oscillate around the limiting constraint. Dennis T. Beng Hui, De La Salle University-Manila
- 12. S-Shaped Growth with Overshoot Limiting Constraint VAR TIME Dennis T. Beng Hui, De La Salle University-Manila
- 13. Overshoot and Collapse Consumption or erosion of the limiting constraint happens such that the system does not reach equilibrium and the system collapses. Dennis T. Beng Hui, De La Salle University-Manila
- 14. Overshoot and Collapse Limiting Constraint VAR TIME Dennis T. Beng Hui, De La Salle University-Manila
- 15. Other Modes of behavior Statis or equilibrium – change is too slow relative to your time horizon for it to be meaningful. . Randomness – this is a measure of ignorance. When we say random variations, we mean that we don’t actually know the reasons for these variations. Chaos – chaotic systems fluctuate irregularly, never exactly repeating, even though its motion is completely deterministic. This irregularity arises endogenously and is not created by random shocks. Dennis T. Beng Hui, De La Salle University-Manila