Integrable systems

Integrable systems are a class of dynamic systems that can be solved exactly using mathematical techniques. They are characterized by having sufficient constants of motion, or conservation laws, which allow for the prediction of the system's behavior over time. This means, unlike more complex systems that can behave chaotically or unpredictably, integrable systems have a structured and predictable evolution. Examples can be found in physics, such as certain mechanical systems and celestial motions, where their behavior can be described precisely with equations, providing insights into their long-term dynamics and interactions.