Stochastic averaging of quasi-Hamiltonian systems
摘要
A stochastic averaging method is proposed for quasi-Hamiltonian systems (Hamiltonian systems with light dampings subject to weakly stochastic excitations). Various versions of the method, depending on whether the associated Hamiltonian systems are integrable or nonintegrable, resonant or nonresonant, are discussed. It is pointed out that the standard stochastic averaging method and the stochastic averaging method of energy envelope are special cases of the stochastic averaging method of quasi-Hamiltonian systems and that the results obtained by this method for several examples prove its effectiveness.
引用本文（GB/T 7714）
Zhu Weiqiu. Stochastic averaging of quasi-Hamiltonian systems[J]. 未知来源, 1996.
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