bifurcation

Short definition from Wiktionary

Noun

1. 1
   A division into two branches.
2. 2
   Any place where one thing divides into two.
3. 3
   The act of bifurcating; branching or dividing in two.
4. 4
   Either of the forks or other branches resultant from such a division.
5. 5
   A place where two roads, tributaries etc. part or meet.
6. 6
   The point where a channel divides when proceeding from seaward.
7. 7
   The change in the qualitative or topological structure of a given family as described by bifurcation theory.
8. 8
   A command that executes one block or other of commands depending on the result of a condition.