Other Forms
In some nonlinear systems, parameters are explicit. In others they are implicit, and the system of nonlinear equations is written
where is an n-vector, and its image is an n-1 vector.
This formulation, without an explicit parameter space is not usually suitable for the formulations in the following sections, because they refer to parameterized autonomous nonlinear dynamical systems of the form:
However, in an algebraic system there is no distinction between unknowns and the parameters.
Read more about this topic: Numerical Continuation
Famous quotes containing the word forms:
“No rent-roll nor army-list can dignify skulking and dissimulation: and the first point of courtesy must always be truth, as really all the forms of good-breeding point that way.”
—Ralph Waldo Emerson (1803–1882)
“The sun, that brave man,
Comes through boughs that lie in wait,
That brave man.
Green and gloomy eyes
In dark forms of the grass
Run away.”
—Wallace Stevens (1879–1955)