Hénon映射的噪声诱导间歇现象及其临界值估算研究  

Noise-induced intermittency in Hénon map and estimation of critical strength of noise

作　　者：郭空明[1] 江俊[2] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071 [2]西安交通大学机械结构强度与振动国家重点实验室,西安710049

出　　处：《物理学报》2014年第19期45-50,共6页Acta Physica Sinica

基　　金：国家自然科学基金重点项目(批准号:11332008);中央高校基本科研业务费(批准号:K5051304012)资助的课题~~

摘　　要：本文研究了Hénon映射在噪声诱导下发生的间歇现象.通过数值模拟和全局分析手段,揭示了噪声诱导间歇现象的机理.基于随机敏感度函数法,通过检测噪声作用下周期吸引子的置信椭圆与混沌鞍的碰撞情况,给出了诱发间歇现象的噪声强度临界值的估算方法.结果表明,Hénon映射中噪声诱导间歇现象是由随机周期吸引子和混沌鞍不稳定流形的相互作用引发,随机敏感度函数的方法可以较好地估算发生间歇现象的噪声强度临界值.In this paper noise-induced intermittency phenomenon in Hénon map is studied. Through numerical simulation and global analysis the mechanism of noise-induced intermittency in Hénon map is revealed. By using stochastic sensitivity function method to detect whether there will be collisions between confidence ellipse of periodic attractor and chaotic saddle, a method to estimate the critical strength of noise is proposed. Results show that the noise-induced intermittency in Hénon map is caused by interactions between cycle attractor and unstable manifold of chaotic saddle, whereas the stochastic sensitivity function method can estimate the critical noise strength in intermittency phenomenon accurately.

关 键 词：噪声诱导间歇 暂态混沌 随机敏感度函数 

分 类 号：O422.8[理学—声学]