These bifurcating surfaces divide the parameter space into domains where all manipulators have the same number of cusp points.
The cellular flows along each of the two bifurcating branches differ by a translation of one-half wavelength.
The tree itself is based on bifurcating factor splits that yield optimal separation of populations into diagnostic categories.
Examples abound : a snowflake has a structure of bifurcating tendrils each of which is itself composed of bifurcating tendrils.
For the examples considered, it is shown that the bifurcating asymmetric branches are all unstable with respect to these small eigenvalues.
We speak of a bifurcation, or a bifurcating random differentiable map, if at least one of these properties is violated.
We recall, however, a previous result which also gives the uniqueness of the bifurcating solutions.
There is no way to prevent them bifurcating off the unit circle with loss of stability for the method.
