%0 Journal Article %T Melnikov chaos in Duffing-Rayleigh oscillator subjected to combined bounded noise and harmonic excitations
有界噪声与谐和激励联合作用下Duffing-Rayleigh振子的Melnikov混沌 %A Feng Jun %A Xu Wei %A Gu Ren-Cai %A Di Gen-Hu %A
冯俊 %A 徐伟 %A 顾仁财 %A 狄根虎 %J 物理学报 %D 2011 %I %X In this paper,the dynamic behavior of Duffing-Rayleigh oscillator subjected to combined bounded noise and harmonic excitations is investigated. Theoretically, the random Melnikov's method is used to establish the conditions of existence of chaotic motion. The result implies that the chaotic motion of the system turns into the periodic motion with the increase of nonlinear damping parameter, and the threshold of random excitation amplitude for the system to change from chaotic to periodic motion in the oscillator turns from increasing to constant as the intensity of the noise increases. Numerically,the largest Lyapunov exponents and the Poincare maps are also used for verifying the conclusion. %K bounded noise %K random Melnikov process %K chaotic motion %K periodic motion
有界噪声 %K 随机Melnikov过程 %K 混沌运动 %K 周期运动 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=F437B1BF01E7F486B6B72803BEE4F78D&yid=9377ED8094509821&vid=BFE7933E5EEA150D&iid=9CF7A0430CBB2DFD&sid=BAAF4941D6CE2E29&eid=219A3C00B67D0E62&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=19