cusp.extrema {cusp} | R Documentation |
Locate Extrema of Cusp Catastrophe Potential Function
Description
This function computes the locations of the extrema of the cusp catastrophe potential function.
Usage
cusp.extrema(alpha, beta)
Arguments
alpha |
(single) value of normal/symmetry factor |
beta |
(single) value of bifurcation/splitting factor |
Details
The locations are determined by computing the solutions to the equation
\alpha+\beta\,X - X^3 = 0.
Value
Ordered vector with locations of extremes.
Note
Use Vectorize
to allow for array input.
Author(s)
Raoul Grasman
References
http://www.scholarpedia.org/article/Cusp_bifurcation
See Also
Examples
# simple use
cusp.extrema(2,3)
# using vectorize to allow for array input;
# returns a matrix with locations in each column
Vectorize(cusp.extrema)(-3:3, 2)
[Package cusp version 2.3.6 Index]