The word Bifurcation means “to split into two parts.” In mathematics, words sometimes don’t mean exactly the same thing as they do in everyday speech. When studying a family of discrete dynamical systems with a parameter, a bifurcation is a value of that parameter where the quantity and/or quality of the system’s fixed points changes. We will see how studying bifurcations lends insight into the strange and curious mathematical phenomena that can occur when parts of a DDS are modified.

Videos:

Jeff’s Office Hours Series

• Intro To Bifurcation Values
• Bifurcation Diagrams

Damon Explains Math 118 Series:

• Bifurcation Values Part 1
• Bifurcation Values Part 2