Oscillations refer to repetitive and predictable fluctuations or movements that occur in various systems, such as mechanical, biological, or electronic systems. These oscillations can be periodic, meaning they occur at regular intervals, or non-periodic. They are characterized by a specific frequency, amplitude, and phase. Oscillations play a crucial role in many natural phenomena and have been studied extensively in fields such as physics, engineering, biology, and mathematics. Some common examples of oscillations include the swinging of a pendulum, the vibrations of a guitar string, and the rhythmic beating of the heart. Research in oscillations often focuses on understanding the underlying mechanisms, predicting behavior, and designing systems that exploit or control oscillatory phenomena.