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A family of evolution laws indexed by one or more control parameters, with a fixed or coherently varying state space. Parameter variation makes structural changes such as bifurcations meaningful.
wp-math-bifurcation-theorymit-ocw-nonlinear-dynamicsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A parameterized dynamical system refines the framework to a coherent family of evolution laws so their qualitative behavior can be compared.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
wp-math-bifurcation-theorymit-ocw-nonlinear-dynamicsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A bifurcation records a qualitative change in invariant sets, stability, or phase portrait at a critical parameter value.
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
wp-math-bifurcation-theorymit-ocw-nonlinear-dynamics