Systems thinking and modelling
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Equilibria and Stability Analysis: Analytical vs. Numerical Analysis [Systems thinking & modelling series]
Take a moment to reflect on these different forms of analysis and what each one can offer.
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Equilibria and Stability Analysis: Stability Analysis [Systems thinking & modelling series]
There is a general way to determine the precise stability nature of the equilibrium points analytically.
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Equilibria and Stability Analysis: The Phase Plane [Systems thinking & modelling series]
Phase planes are almost like scatterplots. They show one of the state variables plotted against another of the state variables.
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Equilibria and Stability Analysis: Equilibrium Points [Systems thinking & modelling series]
Often, we can determine the equilibrium points for a system without fully needing to solve the trajectory for the state…
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Equilibria and Stability Analysis: Introduction [Systems thinking & modelling series]
These types of analyses allow you to determine many behaviors of a system without needing to fully solve its differential…
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The Mathematics of Modeling: Solving Differential Equations [Systems thinking & modelling series]
Given a differential equation or System Dynamics model specification, how do you go about “solving” the model?
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The Mathematics of Modeling: Differential Equations and System Dynamics [Systems thinking & modelling series]
Differential equations are a common mathematical tools used to study rates of change. Many differential equation models can be directly…
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The Process of Modeling: Wrapping It Up [Systems thinking & modelling series]
Getting the small details right in a model can take much longer than implementing the bulk of the model structure.
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The Process of Modeling: From Mental Models to Simulation Models [Systems thinking & modelling series]
People often have great difficulty communicating and describing their own mental models of a system. A number of useful tools…
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The Process of Modeling: Model Boundaries [Systems thinking & modelling series]
It would be impossible to include every single element and mechanism in our model, so we must define the boundaries…