Differential Equations: A Dynamical Systems App... -

A bifurcation occurs when a small change in a system's parameter (like temperature or friction) causes a sudden qualitative change in behavior, such as a stable point suddenly becoming unstable. 🚀 Real-World Applications

Modeling how neurons fire pulses of electricity. Differential Equations: A Dynamical Systems App...

Fixed points (equilibria) occur where the rate of change is zero. Nearby paths move toward the point. Repellers (Sources): Nearby paths move away. A bifurcation occurs when a small change in

Curves that follow the vector field, representing a system's evolution over time. Differential Equations: A Dynamical Systems App...

The overall movement of all possible points through time. 2. Fixed Points and Stability