Flowfields !

Flowfields refer to a computational technique used in computer graphics, simulations, and various scientific applications to model and visualize the behavior of dynamic systems, such as fluid dynamics or particle motion.

In essence, a flowfield is a two-dimensional grid that assigns vectors to each grid point, representing the direction and magnitude of the flow at that particular location. These vectors guide the movement of particles or elements within the system, allowing for the creation of realistic and visually appealing animations or simulations. Flowfields find applications in diverse fields, ranging from computer graphics and video game design to environmental modeling and engineering simulations. By encoding the underlying dynamics of a system, flowfields provide a powerful tool for understanding complex interactions and phenomena in a visual and intuitive manner.

Lorenz attractor

The Lorenz attractor is a set of chaotic solutions to a system of three coupled nonlinear differential equations. These equations describe the evolution of a dynamic system in three-dimensional space, and they exhibit sensitive dependence on initial conditions. The attractor’s distinctive butterfly-shaped trajectory illustrates the unpredictability and complexity inherent in chaotic systems.

It has profound implications for understanding the concept of deterministic chaos, where seemingly random and unpredictable behavior emerges from deterministic equations. This attractor has applications in various fields, including physics, mathematics, meteorology, and computer science, serving as a quintessential example of deterministic chaos and the butterfly effect.

To read more about this topic : https://en.wikipedia.org/wiki/Lorenz_system