Lyapunov Exponents and Stochastic Stability of Quasi-Integrable-Hamiltonian Systems.

Presents information on a study which derived the averaged equations of integrable and nonresonant Hamiltonian systems of multi-degree-of-freedom subject to light damping and real noise excitations of small intensities. Averaged equations of quasi-integrable-Hamiltonian systems with real noise excitations; Lyapunov exponent of averaged equations; Examples; Conclusions.