Dynamical systems are mathematical models used to describe the time-dependent position of a point’s position in ambient space. For example, a dynamical system could be used to describe the movement of a swinging pendulum. The way the pendulum moves is based on the laws of physics, but trajectory, velocity, acceleration, etc changes over time. Over at the University of Liverpool is a series of visualizations by mathematicians around the world that shows such dynamical systems.
Art of Mathematics – Visualization of Dynamical Systems
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