Abstract: It is shown that the structure and property of the exact stationary solution of a stochastically excited and dissipated n -degree-of-freedom Hamiltonian system depend upon the integrability and ...

Abstract: A stochastic averaging method is proposed to predict approximately the response of multi-degree-of-freedom quasi-nonintegrable-Hamiltonian systems (nonintegrable Hamiltonian systems with lightly linear ...

Abstract: A stochastic averaging method is proposed to predict approximately the response of quasi-integrable Hamiltonian systems, i.e., multi-degree-of-freedom integrable Hamiltonian systems subject to lightly ...