Transcritical bifurcation is a type of bifurcation in dynamical systems where two fixed points exchange their stability as a parameter is varied. This means that at the bifurcation point, one stable equilibrium becomes unstable, while an unstable equilibrium becomes stable, leading to a qualitative change in the system's behavior. This concept is crucial in understanding how small changes in parameters can lead to significant changes in the dynamics of the system, particularly in differential equations.
congrats on reading the definition of transcritical bifurcation. now let's actually learn it.