Discontinuous bifurcation and coexistence of attractors in a piecewise linear map with a gap  

作　　者：屈世显 卢永智 张林 何大韧 

机构地区：[1]Institute of Theoretical & Computational Physics, School of Physics and Information Technology, Shaanxi Normal University [2]College of Physics Science and Technology, Yangzhou University

出　　处：《Chinese Physics B》2008年第12期4418-4423,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No 10275053)

摘　　要：Coexistence of attractors with striking characteristics is observed in this work, where a stable period-5 attractor coexists successively with chaotic band-ll, period-6, chaotic band-12 and band-6 attractors. They are induced by dif- ferent mechanisms due to the interaction between the discontinuity and the non-invertibility. A characteristic boundary collision bifurcation, is observed. The critical conditions are obtained both analytically and numerically.Coexistence of attractors with striking characteristics is observed in this work, where a stable period-5 attractor coexists successively with chaotic band-ll, period-6, chaotic band-12 and band-6 attractors. They are induced by dif- ferent mechanisms due to the interaction between the discontinuity and the non-invertibility. A characteristic boundary collision bifurcation, is observed. The critical conditions are obtained both analytically and numerically.

关 键 词：coexistence of attractors piecewise linear map mapping hole discontinuous bifurcation 

分 类 号：O415.5[理学—理论物理]