English: Swinging Atwood's machine - a simple mechanical system consisting of two weights connected with a thread passed through two pulleys. One of the weights can only move up and down and the second oscillates around its suspension point (one of the pulleys). Unlike simple Atwood's machine, the swinging machine can perform quite complex movements (if the mass of the oscillating weight is less than mass of one moving up and down). For different values ​​of the parameters the dynamical system represented by a swinging Atwood's machine shows various types of behavior: the periodic, quasi-periodic, chaotic. The figure shows the trajectory of the smaller weight (oscillating) center when the mass ratio of weights is changing from 1 to 6. For images preparing it was used following proprietary software: http://odestudy.wix.com/derek