Identification of third order hamiltonian coefficients from forced coherent beam oscillations

We present the theoretical background for the method to determine hamiltonian coefficient by wobbling orbit correctors at low frequencies and observing the response of the beam at multiple and mixed frequencies at selected BPM. The method is tested using a realistic model of LEP and the influence of BPM errors is investigated. Moreover, as an application of the reconstructed hamiltonian coefficients, parameters that characterize the strength of a given resonance are constructed.