Stochastic stability of quasi-integrable and resonant Hamiltonian systems under parametric excitations of combined Gaussian and Poisson white noises

• Published in: International journal of non-linear mechanics Vol. 67; pp. 52 - 62
• Main Authors: Liu, Weiyan, Zhu, Weiqiu
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.12.2014
• Subjects: Combined Gaussian and Poisson white noise excitations; Computer simulation; Excitation; Gaussian; Lyapunov exponent; Lyapunov exponents; Mathematical analysis; Quasi-integrable and resonant Hamiltonian system; Stability; Stochastic averaging; Stochastic stability; Stochasticity; White noise; Stochastic stability; Quasi-integrable and resonant Hamiltonian system; Stochastic averaging; Combined Gaussian and Poisson white noise excitations; Lyapunov exponent

A procedure for determining the asymptotic Lyapunov stability with probability one of multi-degree-of-freedom (MDOF) quasi-integrable and resonant Hamiltonian systems under parametric excitations of combined Gaussian and Poisson white noises is proposed. For the case of resonance with α resonant rel...