【摘要】 考虑电流噪声的因素,建立了一类高斯白噪声激励下的超导约瑟夫森结动力学模型,并对其混沌特性进行了研究。基于随机Melnikov方法,通过计算该模型的随机Melnikov函数,可得系统在均方差意义下出现Smale马蹄混沌的必要条件,进而讨论了噪声强度对系统混沌行为的影响。结果表明,高斯白噪声激励使原系统更易产生混沌。更多还原

【Abstract】 A novel model for Josephson junction under Gaussian white noise excitation is established,whose chaotic characteristics are studied consequently by the stochastic Melnikov method.By calculating stochastic Melnikov function of the model,we have derived the necessary condition for the occurrence of Smale horseshoe chaos,in terms of mean square deviation.Then,the impact of noise intensity on the chaotic behavior can be revealed,which shows Gaussian white noise excitation makes the original system easier to produce chaos.更多还原