Dynamical System Simulator

Dynamical System Simulator is a powerful Chrome extension designed for animating first and second-order differential equations in both 2D and 3D. It provides real-time visualization of dynamical systems by animating particles that trace their path through space, making it an excellent tool for understanding concepts like slope fields and phase portraits. The simulator comes preloaded with a variety of well-known system configurations, including Logistic Population, Lorenz attractor, Saddle, Source, Sink, and more, catering to different levels of complexity.

Users can customize the simulation settings such as the number of particles, update rate, time scale, and initial velocities. Additionally, it supports linear and non-linear expressions with a range of mathematical functions and variables. The extension also offers adjustable view settings like zooming, rotation in 3D, line width, and color to enhance the interactive experience. Open-source and ideal for students and educators alike, it encourages community contributions via its GitHub repository.