Nonlinear dynamical systems and bistability in linearly forced isotropic turbulence

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摘要 Inthispaper,wepresentanextensivestudyofthelinearlyforcedisotropicturbulence.Byusinganalyticalmethod,weidentifytwoparametricchoices,ofwhichtheyseemtobenewasfarasourknowledgegoes.WeprovethattheunderlyingnonlineardynamicalsystemforlinearlyforcedisotropicturbulenceisthegeneralcaseofacubicLienardequationwithlineardamping.WealsodiscussaFokker–Planckapproachtothisnewdynamicalsystem,whichisbistableandexhibitstwoasymmetricandasymptoticallystablestationaryprobabilitydensities.
机构地区 不详
出处 《力学学报:英文版》 2013年6期
出版日期 2013年06月16日(中国期刊网平台首次上网日期,不代表论文的发表时间)