One mode of motion for this system was approximated by Chirikov using the Melnikov-Arnoldintegral. The Gudermannian can be used to derive its motion near unstable equilibria. A completedescription of this system requires the use of Jacobi elliptic functions. In phase space, this system hasa separatrix at H equals g over l, within which it has closed cycles and outside of which it issinusoidal. These devices' amplitude is independent of their (*) period. The equation of motion for thissystem is often derived using the small-angle approximation, and shows that its period is proportional to thesquare root of the length of the string. For 10 poin
One mode of motion for this system was approximated by Chirikov using the Melnikov-Arnoldintegral. The Gudermannian can be used to derive its motion near unstable equilibria. A completedescription of this system requires the use of Jacobi elliptic functions. In phase space, this system hasa separatrix at H equals g over l, within which it has closed cycles and outside of which it issinusoidal. These devices' amplitude is independent of their (*) period. The equation of motion for thissystem is often derived using the small-angle approximation, and shows that its period is proportional to thesquare root of the length of the string. For 10 points, name this simple system consisting of a weight on theend of a string.
One mode of motion for this system was approximated by Chirikov using the Melnikov-Arnoldintegral.
pendulum