English: An example of transcritical bifurcation. The figure shows three curves defined by the ordinary differential equation

${\displaystyle {\frac {dx}{dt}}=\mu \ln x+x-1}$

for three cases of parameter μ. The bifurcation occurs at (x = 1, μ = −1). The equation and the bifurcation point is based on the reference:

• Steven H. Strogatz、田中 久陽・中尾 裕也・千葉 逸人（訳）、2015、『ストロガッツ　非線形ダイナミクスとカオス ―数学的基礎から物理・生物・化学・工学への応用まで』、丸善出版 ISBN 978-4-621-08580-6
  • (Translated from) Steven H. Strogatz. (1994). Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Westview Press.