Editing Hamiltonian system (section)

=== Origins ===
The concept of chaos in Hamiltonian systems has its roots in the works of [[Henri Poincaré]], who in the late 19th century made pioneering contributions to the understanding of the [[three-body problem]] in [[celestial mechanics]]. Poincaré showed that even a simple [[Newton's law of universal gravitation|gravitational system]] of three bodies could exhibit complex behavior that could not be predicted over the long term. His work is considered to be one of the earliest explorations of chaotic behavior in [[Physics|physical systems]].<ref name="Poincare2">Poincaré, Henri. "New Methods of Celestial Mechanics." (1892)</ref>