Analysing the chaotic motion of a driven pendulum

摘要: Abstract We analyse the chaotic motion of a periodically driven damped pendulum. Time series angular velocity are sampled and investigated numerically. Parameters driving force damping reconstructed from by numerically adapting equation motion. The delay time required to embed attractor in space coordinates is derived an extension recently suggested wavering product. Dynamical statical properties determined predictions motions made local method. An estimation prediction error inverted obtain dimension -entropy. results consistent with those QR decomposition Jacobian pendulum equation.