Coupled Oscillators

Coupled oscillators are systems where two or more vibrating entities influence each other’s motion through a connecting force. Imagine two pendulums linked by a spring; when one swings, it affects the other’s movement. This interaction can lead to synchronized oscillations, where the objects move in harmony, or complex patterns depending on their natural frequencies and the strength of their connection. Coupled oscillators are fundamental in understanding phenomena across physics, engineering, and biology, such as the collective behavior of atoms in crystals or the coordination of neurons in the brain.