Double Pendulum Simulation 1.1

This application explores the dynamics of a double pendulum, a classical system in the field of dynamical systems mathematics. A double pendulum consists of a second pendulum attached to the end of a primary pendulum, providing a straightforward physical model that demonstrates complex and often unpredictable behavior. The system's motion is described mathematically by a set of coupled ordinary differential equations, which can exhibit chaotic behavior depending on energy levels.

The software employs the Runge-Kutta numerical method to solve these differential equations for time evolution, enabling detailed simulations of the system’s motion. Users can observe how variations in initial conditions and energy influence the dynamics.

Additionally, user interaction with the device’s orientation allows for real-time manipulation of the pendulum's movement, providing an intuitive understanding of how external influences can affect chaotic systems.