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A function whose domain and codomain are the same set. Iterating a self-map supplies the standard deterministic discrete-time evolution.
wp-functionwp-math-dynamical-systemmit-ocw-nonlinear-dynamicsEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Restrict a function by requiring . The resulting endofunction can be iterated, whereas an arbitrary function with different domain and codomain cannot be composed with itself.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-functionwp-math-dynamical-systemmit-ocw-nonlinear-dynamicsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A self-map generates an -action by iteration, and specifying such a forward discrete action is equivalent to specifying its one-step map. A -action additionally requires an invertible map.
Reinterpret an object, pass to an equivalent presentation, or relate canonically corresponding structures; the carrier may change.
wp-math-dynamical-systemmit-ocw-nonlinear-dynamics