Exact stationary response of multi-dimensional nonlinear Hamiltonian dynamical systems under parametric and stochastic excitations

Christian Soize (1)

1 ONERA - The French Aerospace Lab [Châtillon]

The purpose of this paper is to study the exact steady-state probability density function of the asymptotic stationary solution of a large class of multi-dimensional nonlinear Hamiltonian dissipative dynamical systems under parametric and external random excitations, using the Fokker-planck equation method.

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]

Christian Soize. Exact stationary response of multi-dimensional nonlinear Hamiltonian dynamical systems under parametric and stochastic excitations. Journal of Sound and Vibration, 1991, 149 (11), pp.1-24. ⟨10.1016/0022-460X(91)90908-3⟩. ⟨hal-00770314⟩