Media Summary: On the left plot is the direction field for the titled ODE, along with a few particular solutions. In this Welcome to a new section of Nonlinear Dynamics: Bifurcations in 2D, extending the saddle-node, transcritical, and
Saddle Node Bifurcation Example Visual - Detailed Analysis & Overview
On the left plot is the direction field for the titled ODE, along with a few particular solutions. In this Welcome to a new section of Nonlinear Dynamics: Bifurcations in 2D, extending the saddle-node, transcritical, and For the given ODE equation, dx/dt=r-x^2, we observe changes in the fixed point as the parameter r varies. Now slowly change the parameter -- the equilibrium slowly changes, unless you hit a
