
Oscillatory motion of a physical system about an equilibrium position.Vibration is the oscillatory motion of a physical system about an equilibrium position. It is a universal phenomenon, from the jitter of a single electron (Zitterbewegung) to the collective sway of bacterial colonies. Vibration underpins how sound travels, how molecules interact, and how crystals form in melts, as shown by the title 'Вибрация будит кристаллы в расплаве'.
The mathematical description of vibration was developed by Galileo Galilei and Christiaan Huygens in the 17th century, with Huygens observing synchronization of pendulum clocks.
A system displaced from equilibrium experiences a restoring force pulling it back. Inertia carries it past the equilibrium, leading to periodic motion. The frequency depends on the system's stiffness and mass, while damping (energy loss) gradually reduces amplitude. In complex systems, vibrations can couple, leading to synchronized behavior or chaos, as in 'Нити в потоке: как шум рождает порядок и хаос'.
Vibration analysis is used in engineering to monitor machine health, in seismology to detect earthquakes, and in quantum physics to study phenomena like Zitterbewegung.
In 2013, researchers observed Zitterbewegung—the trembling motion of a free electron—in a solid-state analogue, confirming a prediction made by Erwin Schrödinger in 1930.






