Systems thinking: Attractors

Multiple domains of attraction can be used for investigating "jumps" in cultural issues. "Jumps" are often associated with a continuous change in some system parameter. This can mean that a continuous change in a system parameter can cause a discontinuous -- sometimes large -- change in the system.

stableunstable
A stable focus inside an unstable limit cycle

unstablestable
An unstable focus inside a stable limit cycle

causality
A stable limit cycle with causality loops

duality
An unstable limit cycle with dualism

In a region of the Satir Change Model where the slope is positive, the slightest displacement will cause system effectiveness to move away from the equilibrium, as is the case with the Foreign Element and Integration equilibria. These equilibria are locally unstable.

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In a region where the slope of the change curve is negative, like between the beginning of the curve and Late Status Quo and between the top of the middle positive maximum and the Transforming Idea, a sufficiently small displacement can cause the system to move back to the respective equilibrium values, resp. Status Quo and Chaos. In such cases the equilibrium is called a locally stable equilibrium. "Sufficiently small" is within the domain of attraction. The Virginia Satir model has multiple domains of attraction:

N0 < N < Late Status Quo and N1 < N < Transforming idea.