Master the mathematics of change through 30 interactive demonstrations. Watch direction fields guide solution curves, explore phase portraits, and discover chaos in the Lorenz attractor.
Direction fields, solution curves, and separable equations
Spring-mass systems, damping, and resonance
2D systems, trajectories, and nullclines
Fixed points, linearization, and classification
Predator-prey, van der Pol, and limit cycles
Saddle-node, pitchfork, and Hopf bifurcations
Sensitive dependence, strange attractors, and butterfly effects
Euler, Runge-Kutta, and adaptive step methods
Circuits, population dynamics, epidemics, and mechanics
Enter any ODE system and explore its behavior