Dynamical Systems Visualizer

Equations

Write derivatives like dv/dt = …

State variables

Unknown symbols

Not tied to a derivative. Treat each as a tunable parameter or promote it to a state variable.

Parameters

Simulation

Phase portrait

x y Field Nullclines
The trajectory diverged
Values grew without bound before . Try a smaller step dt, a shorter duration, or gentler parameters.
Click anywhere on the plane to drop a new initial condition. Arrows show the flow direction, dashed curves are nullclines.

Time series

Each state variable over time. The moving marker follows the trajectory above.