【作者】 周茜； 陈增强； 袁著祉；

【Author】 Qian Zhou,Zengqiang Chen,Zhuzhi Yuan Department of Automation,NanKai University,Tianjin 300071,China

【机构】 南开大学自动化系；

【摘要】 本文构造了两个简单模型,采用Rssler系统作驱动,分别可以生成具有一个层流态(一态)和两个层流态(二态)的开关型间歇混沌,讨论了系统出现这种现象时的应具备的参数条件,并且用仿真验证了开关型间歇混沌的层流态的长度确实服从指数为-3/2的幂率分布,而这正是开关间歇混沌的一个重要特征。在出现二态开关型间歇混沌的系统中,当对称不变子空间内的吸引子都稳定时,观察到了混合吸引域现象。更多还原

【Abstract】 In this paper,we construct two simple systems driven by Rssler system to generate one-state on-off intermittency and two-state on-off intermittency respectively.We discuss the parameter conditions under which on-off intermittency emerges.The asymptotic universal-3/2 power-law distribution of laminar phases near the onset of intermittency is verified in numerical simulations,which is a signature of on-off intermittency.Also intermingled basins are observed in the system of two-state on-off intermittency when the attractors in the subspaces are stable.更多还原