Coupled oscillators are systems where two or more oscillating entities interact with each other, influencing their motion. This interaction can lead to synchronized behavior, where the oscillators move in harmony, or to complex patterns depending on their coupling strength and initial conditions. Examples include pendulums connected by springs or neurons in the brain. In physics and engineering, coupled oscillators are studied to understand phenomena like wave propagation and resonance. They can be described mathematically using differential equations, which help predict how the oscillators will behave over time. This concept is essential in various fields, including mechanical systems and electrical circuits.