👉 Swing math, or swing theory, is a mathematical framework used to analyze and predict the behavior of systems with multiple interacting oscillators, such as coupled pendulums or electrical circuits. It simplifies the complex dynamics of these systems by focusing on the leading-order terms in the equations of motion, effectively ignoring higher-order nonlinearities. This approach allows for the derivation of approximate solutions that capture the essential dynamics, making it particularly useful for understanding phenomena like synchronization, pattern formation, and bifurcations in systems where exact solutions are intractable. By linearizing the equations around equilibrium points, swing math provides a powerful tool for both qualitative and quantitative analysis in physics, engineering, and other fields dealing with oscillatory systems.
