Bifurcate

[Julene]

Divide into two branches or forks.

[Kai]

To tell [Cate] to [buy] some [fur].

[Agnes]

A [bifurcation] is when a small change in something causes a big change in something else.
This word comes from math; specifically it refers to the solution of a [differential equation] taking a big change as the value of a [parameter] crosses a certain number.

[Justin Bieber]

Word used from the [WSJ] in [DWF] emails.

[The division] of issues in a trial for example [the division] of a page into two parts.