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Synergetics is the empirical study of systems in transformation, with an emphasis on whole system behaviors unpredicted by the behavior of any components in isolation. R. Buckminster Fuller (1895–1983) named and pioneered the fi
Buckminster Fuller found that the cuboctahedron is the only polyhedron in which the distance between its center to the vertex is the same as the distance between its edges. In other words, it has the same length vectors in three-dimensional space, known as vector equilibrium . [ 8 ]
The first term in the RHS describes short-run impact of change in on , the second term explains long-run gravitation towards the equilibrium relationship between the variables, and the third term reflects random shocks that the system receives (e.g. shocks of consumer confidence that affect consumption). To see how the model works, consider two ...
Phase portrait showing saddle-node bifurcation. Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family of curves, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations.
Once the global stiffness matrix, displacement vector, and force vector have been constructed, the system can be expressed as a single matrix equation. For each degree of freedom in the structure, either the displacement or the force is known.
The punctuated equilibrium model of policy change was first presented by Frank Baumgartner and Bryan Jones in 1993, [1] and has increasingly received attention in historical institutionalism. [3] The model states that policy generally changes only incrementally due to several restraints, namely the "stickiness" of institutional cultures, vested ...
The equilibrium model of group development (equilibrium model) is a sociological theory on how people behave in groups. The model theorizes that group members will work to maintain a balance, or equilibrium, between task-oriented (instrumental) and socio-emotional (expressive) needs. [1] [2] A group can be successful if it maintains this ...
This not only makes the formulas more concise and clear but also facilitates the use of analytical tools from linear algebra and matrix theory. The John von Neumann's general equilibrium model and the structural equilibrium model are examples of matrix-form CGE models, which can be viewed as generalizations of eigenequations.