🌀
Bifurcation
★★★★☆Undergraduate
📖Definition
Bifurcation is when qualitative behavior of a dynamical system suddenly changes as a parameter varies. New fixed points may appear or stability may change.
📐Formulas
x_n+1 = rxₙ(1-xₙ)
Logistic map (bifurcates with r)
✏️Examples
예제 1
Describe the bifurcation process in logistic map.
⚡Applications
Physics
Phase transitions
Ecology
Population boom/crash
Engineering
System instability prediction
🔗Related Documents
→Prerequisites
←Next Topics
↔Related
#분기#주기배가#bifurcation#period doubling